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examples

Example

In a random sample of size n = 20 from a normal population
with the standard deviation

= 15 and the mean

ooooo

= 64.3,

construct a 95% confidence interval for the population mean

Procedure

STAT2

(INTR)

(Z)

(1-Smpl)

(VAR)

.jf

ge.d

(None)

(CALC)

Result Screen

Thus, the 95% confidence interval for

becomes 57.7<

<70.9 .

Summary of Contents for STAT 2

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 30: ...30 u u u u uInput Example u u u u uResults...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 64: ...Examples...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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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