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examples

Two-Way ANOVA

Set Up

1. On the icon menu, select STAT2.

Execution

2. Input data into the list.

(TEST)

(ANOVA) ... Analysis of Variance (ANOVA)

4. Set calculation parameters. Specify 2 for How Many setting.

5. Align the cursor with [Execute]

(CALC) ... Performs calculation.

(DRAW) ... Draws graph

Example

The nearby table shows measurement results for a metal product
produced by a heat treatment process based on two treatment levels:
time (A) and temperature (B). The experiments were repeated twice
each under identical conditions.

Perform analysis of variance on the following null hypothesis, using a signifi-
cance level of 5%.

: No change in strength due to time

: No change in strength due to heat treatment temperature

: No change in strength due to interaction of time and heat treatment

temperature

B (Heat Treatment Temperature)

113 ,

116

133 ,

131

139 , 132

126 ,

122

A (Time)

Содержание STAT 2

Страница 1: ...STAT 2 Advanced Statistics Application Statistical Calculation STAT Soft ware for the ALGEBRA FX2 0 1 Modifications Made to ALGEBRA 2 0 by STAT2 2 Tests 3 Confidence Interval 4 Distribution...

Страница 2: ...and JUMP functions available with ALGEBRA FX2 0 are moved to the TOOL menu 6 and 1 by STAT2 u u u u uCalculation of the Coefficient of Determination r2 and MSE STAT2 adds calculation of the coefficie...

Страница 3: ...2 Y CAL to enter the graph selection mode and then press w If there are multiple graphs on the display use f and c to select the graph you want and then press w This causes an x value input dialog box...

Страница 4: ...describes the two methods you can use to make parameter settings for test confidence interval and distribution calculations Selection With this method you press the function key that corresponds to th...

Страница 5: ...T UP or K V Window operation You can perform the PICT menu s screen save or recall functions after drawing a graph The ZOOM Function and SKETCH function are disabled The TRACE function is desabled exc...

Страница 6: ...t Test compares the population means when standard deviations are unknown Linear Reg t Test calculates the strength of the linear association of paired data 2 Test tests hypothesis concerning the pro...

Страница 7: ...yed in the case of a two tail test Use d and e to move the pointer Press i to clear the z score 2 P Displays p value Pressing 2 P displays the p value at the bottom of the display without displaying t...

Страница 8: ...dard deviation 0 List list whose contents you want to use as data List 1 to 20 Freq frequency 1 or List 1 to 20 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a...

Страница 9: ...raws the graph Calculation Result Output Example G11 4 direction of test z Z score p p value o mean of sample x n 1 sample standard deviation Displayed only for Data List setting n size of sample Save...

Страница 10: ...data type 1 population mean value test conditions G 2 specifies two tail test 2 specifies one tail test where sample 1 is smaller than sample 2 2 specifies one tail test where sample 1 is greater tha...

Страница 11: ...he calculation or draw the graph 1 CALC Performs the calculation 6 DRAW Draws the graph Calculation Result Output Example 1G 2 direction of test z Z score p p value o1 mean of sample 1 o2 mean of samp...

Страница 12: ...tail test p0 expected sample proportion 0 p0 1 x sample value x 0 integer n size of sample positive integer Save Res list for storage of calculation results None or List 1 to 20 Execute executes a cal...

Страница 13: ...fies one tail test where sample 1 is less than sample 2 p2 specifies upper one tail test where sample 1 is greater than sample 2 x1 data value x1 0 integer of sample 1 n1 size positive integer of samp...

Страница 14: ...f test z Z score p p value p 1 estimated proportion of sample 1 p 2 estimated proportion of sample 2 p estimated sample proportion n1 size of sample 1 n2 size of sample 2 Save Res does not save the p1...

Страница 15: ...he graph screen Two points are displayed in the case of a two tail test Use d and e to move the pointer Press i to clear the t score 2 P Displays p value Pressing 2 P displays the p value at the botto...

Страница 16: ...ns G 0 specifies two tail test 0 specifies lower one tail test 0 specifies upper one tail test 0 assumed population mean List list whose contents you want to use as data Freq frequency Save Res list f...

Страница 17: ...17 Calculation Result Output Example G 11 3 direction of test t t score p p value o mean of sample x n 1 Sample standard deviation n size of sample Save Res does not save the condition in line 2...

Страница 18: ...n2 size of sample 2 This formula is applicable when the sample is not pooled and the denominator is different when the sample is pooled Degrees of freedom df and xp n 1 differs according to whether or...

Страница 19: ...r Off not in effect Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph The following shows the meaning of parameter data specificatio...

Страница 20: ...ean of sample 2 x1 n 1 standard deviation of sample 1 x2 n 1 standard deviation of sample 2 xp n 1 pooled sample standard deviation Displayed only when Pooled On Setting n1 size of sample 1 n2 size of...

Страница 21: ...ollowing key operation from the statistical data list 3 TEST c T d LinReg The following shows the meaning of each item in the case of list data specification p value test conditions G 0 specifies two...

Страница 22: ...n the display copies the regression formula to the graph formula editor When there is a list specified for the Resid List item on the SET UP screen regression formula residual data is automatically sa...

Страница 23: ...xt specify the matrix that contains the data The following shows the meaning of the above item Observed name of matrix A to Z that contains observed counts all cells positive integers Expected name of...

Страница 24: ...and displays the pointer at the corresponding location in the graph unless the location is off the graph screen Press i to clear the 2 value 2 P Displays p value Pressing 2 P displays the p value at...

Страница 25: ...want to use as data of sample 1 List 2 list whose contents you want to use as data of sample 2 Freq 1 frequency of sample 1 Freq 2 frequency of sample 2 Save Res list for storage of calculation resul...

Страница 26: ...lue at the bottom of the display and displays the pointer at the corresponding location in the graph unless the location is off the graph screen Two points are displayed in the case of a two tail test...

Страница 27: ...egory list Dependnt list to be used for sample data Save Res first list for storage of calculation results Execute executes a calculation or draws a graph Two Way ANOVA only The following item appears...

Страница 28: ...ion Plot graphs The number of graphs depends on Factor B while the number of X axis data depends on the Factor A The Y axis is the average value of each category You can use the following graph analys...

Страница 29: ...he data for each group as Dependent Define List 1 and List 2 the factor numbers for each data item in List 3 as Factor A and Factor B respectively Executing the test produces the following results Tim...

Страница 30: ...30 u u u u uInput Example u u u u uResults...

Страница 31: ...level changes in accordance with the application 1 Sample Z Interval calculates the confidence interval for an unknown population mean when standard deviation is known 2 Sample Z Interval calculates...

Страница 32: ...value in the range of 0 C Level 1 for the C Level setting sets you value you input Inputting a value in the range of 1 C Level 100 sets a value equivalent to your input divided by 100 Inputting a valu...

Страница 33: ...Perform the following key operation from the statistical data list 4 INTR b Z b 1 Smpl The following shows the meaning of each item in the case of list data specification Data data type C Level confid...

Страница 34: ...u u u u u 2 Sample Z Interval 2 Sample Z Interval calculates the confidence interval for the difference between two population means when the standard deviations of two samples are known The followin...

Страница 35: ...owing shows the meaning of parameter data specification items that are different from list data specification o1 mean of sample 1 n1 size positive integer of sample 1 o2 mean of sample 2 n2 size posit...

Страница 36: ...ecified using parameter specification The following shows the meaning of each item C Level confidence level 0 C Level 1 x data 0 or positive integer n size of sample positive integer Save Res list for...

Страница 37: ...g key operation from the statistical data list 4 INTR b Z e 2 Prop Data is specified using parameter specification The following shows the meaning of each item C Level confidence level 0 C Level 1 x1...

Страница 38: ...ence interval The value 100 1 is the confidence level Left o tn 1 2 Right o tn 1 2 x n 1 n x n 1 n Perform the following key operation from the statistical data list 4 INTR c T b 1 Smpl The following...

Страница 39: ...e Right interval upper limit right edge o mean of sample x n 1 sample standard deviation n size of sample u u u u u 2 Sample t Interval 2 Sample t Interval calculates the confidence interval for the d...

Страница 40: ...the meaning of each item in the case of list data specification Data data type C Level confidence level 0 C Level 1 List 1 list whose contents you want to use as data of sample 1 List 2 list whose con...

Страница 41: ...ute and then press the function key shown below to perform the calculation 1 CALC Performs the calculation Calculation Result Output Example Left interval lower limit left edge Right interval upper li...

Страница 42: ...istribution is used to estimate the proportion of the products will reach this value Normal probability density calculates the probability density of normal distribution that data taken from a specifi...

Страница 43: ...ant for x and then press w This causes the x and p values to appear at the bottom of the display and moves the pointer to the corresponding point on the graph 3 Pressing v or a number key at this time...

Страница 44: ...dard deviation 0 population mean Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph Specifying 1 and 0 specifies standard normal dist...

Страница 45: ...D Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary population standard deviation 0 population mean Save Res list f...

Страница 46: ...ility and use this formula to obtain the integration interval Perform the following key operation from the statistical data list 5 DIST b Norm d Invrse Data is specified using parameter specification...

Страница 47: ...1 CALC Performs the calculation Calculation Result Output Examples x inverse cumulative normal distribution Tail Left upper boundary of integration interval Tail Right lower boundary of integration i...

Страница 48: ...ave Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph After setting all the parameters align the cursor with Execute and then press one o...

Страница 49: ...5 DIST c T c C D Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary df degrees of freedom df 0 Save Res list for st...

Страница 50: ...form the following key operation from the statistical data list 5 DIST d 2 b P D Data is specified using parameter specification The following shows the meaning of each item x data df degrees of freed...

Страница 51: ...density Current V Window settings are used for graph drawing when the SET UP screen s Stat Wind setting is Manual The V Window settings below are set automatically when the Stat Wind setting is Auto X...

Страница 52: ...2 c C D Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary df degrees of freedom positive integer Save Res list for...

Страница 53: ...DIST e F b P D Data is specified using parameter specification The following shows the meaning of each item x data n df numerator degrees of freedom positive integer d df denominator degrees of freedo...

Страница 54: ...xample p F probability density V Window settings for graph drawing are set automatically when the SET UP screen s Stat Wind setting is Auto Current V Window settings are used for graph drawing when th...

Страница 55: ...using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary n df numerator degrees of freedom positive integer d df denominator degrees of fre...

Страница 56: ...56 Calculation Result Output Example p F distribution probability...

Страница 57: ...ach item when data is specified using list specification Data data type List list whose contents you want to use as specified data Numtrial number of trials p success probability 0 p 1 Save Res list f...

Страница 58: ...ation from the statistical data list 5 DIST f Binmal c C D The following shows the meaning of each item when data is specified using list specification Data data type List list whose contents you want...

Страница 59: ...all the parameters align the cursor with Execute and then press the function key shown below to perform the calculation 1 CALC Performs the calculation Calculation Result Output Example p Binomial cu...

Страница 60: ...pecification Data data type List list whose contents you want to use as specified data population mean 0 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calcul...

Страница 61: ...cification Data data type List list whose contents you want to use as specified data population mean 0 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calucula...

Страница 62: ...st whose contents you want to use as specified data p success probability 0 p 1 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following shows...

Страница 63: ...ist list whose contents you want to use as specified data p success probability 0 p 1 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following...

Страница 64: ...Examples...

Страница 65: ...t STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 3 TEST b Z b 1 Smpl 1 Sample Z Test 4 Set calculation parameters 5 Align the...

Страница 66: ...pothesis that the times of the five new members are at the same level as current team members at the 0 05 level of significance Procedure 1 m STAT2 2 bc fwbb gwba iw bc iwbb ew 3 3 TEST b Z b 1 Smpl 4...

Страница 67: ...t STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 3 TEST b Z c 2 Smpl 2 Sample Z Test 4 Set calculation parameters 5 Align the...

Страница 68: ...re obtained Model 1 mean time o o o o o1 11 5min standard deviation 1 2 4min Model 2 mean time o o o o o2 10 min standard deviation 2 3 min Is there any difference between the performances of these tw...

Страница 69: ...k k k 1 Prop Z Test Set Up 1 On the icon menu select STAT2 Execution 2 3 TEST b Z d 1 Prop 1 Prop Z Test 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs calculation 6 DRA...

Страница 70: ...new method and that 93 have been successful the patients fully recovered their sight Can we justify the claim that the new method is better than the old one Use a 1 level of significance Procedure 1 m...

Страница 71: ...op Z Test Set Up 1 On the icon menu select STAT2 Execution 2 3 TEST b Z e 2 Prop 2 Prop Z Test 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs calculation 6 DRAW Draws gra...

Страница 72: ...ed 612 people Reminders were sent in the mail to each member in the group and the number who registered to vote was 335 The County Clerk claims that the proportion of people to register was significan...

Страница 73: ...cution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 3 TEST c T b 1 Smpl 1 Sample t Test 4 Set calculation parameters 5 Align the cursor wit...

Страница 74: ...ach and the fuel consumption for each engine is meas ured For all six engines the mean fuel consumption is o o o o o 5750 pounds and the standard deviation is x n 1 250 lb Is the claim justified at th...

Страница 75: ...2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 3 TEST c T c 2 Smpl 2 Sample t Test 4 Set calculation parameters 5 Align the curso...

Страница 76: ...e null hypothesis that the tinplate produced by the two processes are of the same level Procedure 1 m STAT2 2 bafwbaiwigwbadw badwbahwbcewbcew e ijwjcwiewjhw badwbahwbbbwjhw 3 3 TEST c T c 2 Smpl 4 1...

Страница 77: ...2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 3 TEST c T c 2 Smpl 2 Sample t Test 4 Set calculation parameters 5 Align the curso...

Страница 78: ...n 1 8 6 n1 12 Brand B o o o o o2 19 x2 n 1 6 n2 12 Past experience with the drug composition of the two remedies permits researchers to assume the standard deviations of the two time distributions ar...

Страница 79: ...LinearReg t Test Set Up 1 On the icon menu select STAT2 Execution 2 Input data into the list 3 3 TEST c T d LinReg LinearReg t Test 4 Set calculation parameters 5 Align the cursor with Execute 1 CALC...

Страница 80: ...mean that x Area can be use as a predictor of y Sales Price Use a 5 level of significance Procedure 1 m STAT2 2 jwbfwbawbbwbaw e dgwiaweewffwdfw 3 3 TEST c T d LinReg 4 1 c 1 LIST bwc 1 LIST cwc 1 1...

Страница 81: ...k k 2 Test Set Up 1 On the icon menu select STAT2 Execution 2 3 TEST d 2 2 Test 3 Input data into the Matrix 4 Set calculation parameters 5 Align the cursor with Execute 1 CALC Performs calculation 6...

Страница 82: ...2 200 Column Totals 150 100 50 200 500 Test the null hypothesis that two phenomena are independent using the level of significance of 0 05 Procedure 1 m STAT2 2 3 TEST d 2 3 2 MAT 1 DIM dw eww dewbgwb...

Страница 83: ...Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 3 TEST e F 2 Sample F Test 4 Set calculation parameters 5 Align the cursor with Exe...

Страница 84: ...s producing the data shown below mean of x1 33 8min mean of x2 34 2min x1 n 1 16 4min x2 n 1 6 1min Test the null hypothesis that the two routes have the same travel time variance using the level of s...

Страница 85: ...t Up 1 On the icon menu select STAT2 Execution 2 Input data into the list 3 3 TEST f ANOVA Analysis of Variance ANOVA 4 Set calculation parameters Specify 1 for How Many setting 5 Align the cursor wit...

Страница 86: ...n an adjacent room watching the child through a one way mirror A random sample of fourth grade children was used and each child participated in the test only once The test scores number correct for ea...

Страница 87: ...sults for a metal product produced by a heat treatment process based on two treatment levels time A and temperature B The experiments were repeated twice each under identical conditions Perform analys...

Страница 88: ...level of significance we can not reject the null hypothesis Temperature differential B Since P 0 04222398836 0 05 level of significance we can reject the null hypothesis Interaction A B Since P 2 7816...

Страница 89: ...menu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 4 INTR b Z b 1 Smpl 1 Sample Z Interval 4 Set calculation paramete...

Страница 90: ...n with the standard deviation 15 and the mean o o o o o 64 3 construct a 95 confidence interval for the population mean Procedure 1 m STAT2 2 4 INTR b Z b 1 Smpl 3 2 VAR c jfw bfw ge dw caw 1 None c 4...

Страница 91: ...n menu select STAT2 Execution 2 When using list data List is selected as Data parameter be sure to input data into the list first 3 4 INTR b Z c 2 Smpl 2 Sample Z Interval 4 Set calculation parameters...

Страница 92: ...ind lasted on the average for 418 hours of continuous use and 50 light bulbs of the second kind lasted on the average for 402 hours of continuous use The population standard deviations are known to be...

Страница 93: ...es k k k k k 1 Prop Z Interval Set Up 1 On the icon menu select STAT2 Execution 2 4 INTR b Z d 1 Prop 1 Prop Z Interval 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs cal...

Страница 94: ...will be successful for any single student selected at random from the entire population of 20 000 Let q be the probability that the shot is not successful a What are the point estimates for p and q b...

Страница 95: ...es k k k k k 2 Prop Z Interval Set Up 1 On the icon menu select STAT2 Execution 2 4 INTR b Z e 2 Prop 2 Prop Z Interval 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs cal...

Страница 96: ...between the actual proportions of male and female voters who favor the candidate Procedure 1 m STAT2 2 4 INTR b Z e 2 Prop 3 jjw bdcw caaw jaw bfaw 1 None c 4 1 CALC Result Screen Let p1 the actual pr...

Страница 97: ...n menu select STAT2 Execution 2 When using list data List is selected as Data parameter be sure to input data into the list first 3 4 INTR c T b 1 Smpl 1 Sample t Interval 4 Set calculation parameters...

Страница 98: ...t areas of equal size he obtained a mean drying time of 66 3 minutes and a standard deviation of 8 4 minutes construct a 95 confidence interval for the population mean Procedure 1 m STAT2 2 4 INTR c T...

Страница 99: ...icon menu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 4 INTR c T c 2 Smpl 2 Sample t Interval 4 Set calculation par...

Страница 100: ...82 88 86 83 78 84 89 kg h Construct a 95 confidence interval for the difference between 1 and 2 when the following is assumed 1 2 2 2 Factory A population distribution is N 1 1 2 and Factory B popula...

Страница 101: ...icon menu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 4 INTR c T c 2 Smpl 2 Sample t Interval 4 Set calculation pa...

Страница 102: ...86 83 78 84 89 kg h Construct a 95 confidence interval for the difference between 1 and 2 when the following is assumed 1 2 2 2 is uncertain Factory A population distribution is N 1 1 2 and Factory B...

Страница 103: ...l Probability Density Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST b Norm b P D Normal Probability Density 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs cal...

Страница 104: ...distribution N 35 22 is 36 Procedure 1 m STAT2 2 5 DIST b Norm b P D 3 dgw cw dfw 1 None c 4 1 CALC Result Screen Result p 0 176 5 i 6 DRAW Pressing6 DRAW draws the graph 6 1 P CAL dgw Enter the X co...

Страница 105: ...ormal Distribution Probability Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST b Norm c C D Normal Distribution Probability 3 Set calculation parameters 4 Align the cursor with Execute 1 CAL...

Страница 106: ...43 examples Example Given that x is normal distribution with 25 and 4 find Pr 21 x 19 Procedure 1 m STAT2 2 5 DIST b Norm c C D 3 cbw bjw ew cfw 1 None c 4 1 CALC Result Screen Result p 0 092...

Страница 107: ...umulative Normal Distribution Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST b Norm d Invrse Inverse Cumulative Normal Distribution 3 Set calculation parameters 4 Align the cursor with Exec...

Страница 108: ...mple Find z so that 5 of the area under the standard normal distribution curve lies to the right of z Procedure 1 m STAT2 2 5 DIST b Norm d Invrse 3 2 RIGHT c afw bw aw 1 None c 4 1 CALC Result Screen...

Страница 109: ...t Probability Density Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST c T b P D Student t Probability Density 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs ca...

Страница 110: ...stribution with degrees of freedom is 2 Procedure 1 m STAT2 2 5 DIST c T b P D 3 bw cw 1 None c 4 1 CALC Result Screen Result p 0 192 5 i 6 DRAW Pressing 6 DRAW draws the graph 6 1 P CAL bw Enter the...

Страница 111: ...udent t Distribution Probability Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST c T c C D Student t Distribution Probability 3 Set calculation parameters 4 Align the cursor with Execute 1 C...

Страница 112: ...m is 15 Procedure 1 m STAT2 2 5 DIST c T c C D 3 b hw bEjjw bfw 1 None c 4 1 CALC i ffffb iw ccc 1 CALC i ffffb hfw ccc 1 CALC i ffffb hgw ccc 1 CALC i ffffb hfdw ccc 1 CALC Result Screen 1 7 t 1 7 t...

Страница 113: ...2 Probability Density Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST d 2 b P D 2 Probability Density 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs calculatio...

Страница 114: ...stribution with degrees of freedom is 3 Procedure 1 m STAT2 2 5 DIST d 2 b P D 3 bw dw 1 None c 4 1 CALC Result Screen Result p 0 242 5 i 6 DRAW Pressing 6 DRAW draws the graph 6 1 P CAL bw Enter the...

Страница 115: ...k k k 2 Distribution Probability Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST d 2 c C D 2 Distribution Probability 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Perf...

Страница 116: ...Example Calculate the probability of a 2 distribution when the degrees of freedom is 4 and the upper limit is 2 2 Procedure 1 m STAT2 2 5 DIST d 2 c C D 3 aw cw ew 1 None c 4 1 CALC Result Screen Res...

Страница 117: ...F Probability Density Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST e F b P D F Probability Density 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Performs calculatio...

Страница 118: ...grees of freedem is 24 and denominator degrees of freedom is 19 Procedure 1 m STAT2 2 5 DIST e F b P D 3 bw cew bjw 1 None c 4 1 CALC Result Screen Result p 0 908 5 i 6 DRAW Pressing 6 DRAW draws the...

Страница 119: ...k k k F Distribution Probability Set Up 1 On the icon menu select STAT2 Execution 2 5 DIST e F c C D F Distribution Probability 3 Set calculation parameters 4 Align the cursor with Execute 1 CALC Perf...

Страница 120: ...alculate the probability of F distribution when the lower limit is 0 the upper limit is 1 9824 n df 19 and d df 16 Procedure 1 m STAT2 2 5 DIST e F c C D 3 aw b jicew bjw bgw 1 None c 4 1 CALC Result...

Страница 121: ...enu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 5 DIST f Binmal b P D Binomial Probability 4 Set calculation parame...

Страница 122: ...into the container and then another marble is removed Calculate the probability of a white marble being picked 0 1 and 2 times Procedure 1 m STAT2 2 5 DIST f Binmal b P D 3 2 VAR c aw cw ew 1 None c...

Страница 123: ...enu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 5 DIST f Binmal c C D Binomial Cumulative Density 4 Set calculation...

Страница 124: ...ists of five questions Each question has four possible answers George guesses at every answer What is the probability that he can only answer three questions or less Procedure 1 m STAT2 2 5 DIST f Bin...

Страница 125: ...enu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 5 DIST g Poissn b P D Poisson Probability 4 Set calculation paramet...

Страница 126: ...ess is 0 1 per meter This means that you can expect 1 5 scratches for every 15 meters of wire Calculate the possibilities of 0 1 and 2 scratches occurring Procedure 1 m STAT2 2 aw bw cw 3 5 DIST g Poi...

Страница 127: ...enu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 5 DIST g Poissn c C D Poisson Cumulative Density 4 Set calculation...

Страница 128: ...any one day at a truck depot in a certain city is known to be 12 What is a probability that on a given day fewer than 9 trucks will arrive at this depot Procedure 1 m STAT2 2 5 DIST g Poissn c C D 3 2...

Страница 129: ...menu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 5 DIST h Geo b P D Geometric Probability 4 Set calculation parame...

Страница 130: ...cant for a driver s licence will pass the road test on any given try What is the probability that an applicant will finally pass the test on the 4th try Procedure 1 m STAT2 2 5 DIST h Geo b P D 3 2 VA...

Страница 131: ...menu select STAT2 Execution 2 When using list data List is selected as the Data parameter be sure to input data into the list first 3 5 DIST h Geo c C D Geometric Cumulative Density 4 Set calculation...

Страница 132: ...cumulative probability for x 2 3 4 when p 0 5 Procedure 1 m STAT2 2 5 DIST h Geo c C D 3 2 VAR c cw fw 1 None c 4 1 CALC i fff dw cc 1 CALC i fff ew cc 1 CALC Result Screen Results p 0 75 when x 2 p 0...

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