User Manual
Page 368
...sample standard deviation of y population standard deviation of y sum of x values 1.Var Stats v Gx Gx2 Sx sx n minX 2.Var Stats v Gx Gx2 Sx sx n w Gy Gy2 Sy sy Gxy minX Other VARS menu XY G G XY XY XY XY G G XY XY G XY TI-83 Plus ...Statistics 365 Then select the VARS menu shown in expressions, press , and select 5:Statistics. y minimum of x ... Statistical Variables The statistical variables are cleared. To access these variables for use in the column below . If you edit a list or change the type of analysis, all statistical variables are calculated...
...sample standard deviation of y population standard deviation of y sum of x values 1.Var Stats v Gx Gx2 Sx sx n minX 2.Var Stats v Gx Gx2 Sx sx n w Gy Gy2 Sy sy Gxy minX Other VARS menu XY G G XY XY XY XY G G XY XY G XY TI-83 Plus ...Statistics 365 Then select the VARS menu shown in expressions, press , and select 5:Statistics. y minimum of x ... Statistical Variables The statistical variables are cleared. To access these variables for use in the column below . If you edit a list or change the type of analysis, all statistical variables are calculated...
User Manual
Page 387
...the sample size to compute this interval. To obtain a more precise bound on the population mean . The editor changes so that in the calculated interval. Press ... | 8 to select Inpt:Stats. Press ~ Í to display the inferential stat editor for the population mean is... Stats (summary statistics) input option. 7. The third line gives the sample standard deviation Sx. The first line, (159.74,173.94), shows that the 99 percent confidence interval for TInterval. TI-83 Plus Inferential Statistics and Distributions 384 Interpret the results. The .99 confidence level indicates...
...the sample size to compute this interval. To obtain a more precise bound on the population mean . The editor changes so that in the calculated interval. Press ... | 8 to select Inpt:Stats. Press ~ Í to display the inferential stat editor for the population mean is... Stats (summary statistics) input option. 7. The third line gives the sample standard deviation Sx. The first line, (159.74,173.94), shows that the 99 percent confidence interval for TInterval. TI-83 Plus Inferential Statistics and Distributions 384 Interpret the results. The .99 confidence level indicates...
User Manual
Page 388
... to calculate the new 99 percent confidence interval. If the height distribution among a population of women is normally distributed with a mean m of 165.1 centimeters and a standard deviation σ of 6.35 centimeters, what height is exceeded by only 5 percent of the women (the 95th percentile)? 10. Press ' to display the DISTR (distributions) menu. TI-83 Plus Inferential...
... to calculate the new 99 percent confidence interval. If the height distribution among a population of women is normally distributed with a mean m of 165.1 centimeters and a standard deviation σ of 6.35 centimeters, what height is exceeded by only 5 percent of the women (the 95th percentile)? 10. Press ' to display the DISTR (distributions) menu. TI-83 Plus Inferential...
User Manual
Page 400
... one -sample t test; item 2) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is unknown. Calculated results: Drawn results: Data , Stats , Note: All STAT TESTS examples assume a fixed-decimal mode setting of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) TI-83 Plus Inferential Statistics and Distributions 397
... one -sample t test; item 2) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is unknown. Calculated results: Drawn results: Data , Stats , Note: All STAT TESTS examples assume a fixed-decimal mode setting of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) TI-83 Plus Inferential Statistics and Distributions 397
User Manual
Page 403
Calculated results: , , Drawn results: 2.SampTTest 2.SampTTest (two-sample t test; The null hypothesis H0: m1=m2 is tested against one of two populations (m1 and m2) based on independent samples when neither population standard deviation (s1 or s2) is known. item 4) tests the equality of the means of the alternatives below. • Ha: m1ƒm2 (m1:ƒm2) • Ha: m1m2) TI-83 Plus Inferential Statistics and Distributions 400
Calculated results: , , Drawn results: 2.SampTTest 2.SampTTest (two-sample t test; The null hypothesis H0: m1=m2 is tested against one of two populations (m1 and m2) based on independent samples when neither population standard deviation (s1 or s2) is known. item 4) tests the equality of the means of the alternatives below. • Ha: m1ƒm2 (m1:ƒm2) • Ha: m1m2) TI-83 Plus Inferential Statistics and Distributions 400
User Manual
Page 408
In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Stats Input: , , Calculated results: TI-83 Plus Inferential Statistics and Distributions 405 The computed confidence interval depends on the user-specified confidence level. item 7) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. ZInterval ZInterval (one-sample z confidence interval;
In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Stats Input: , , Calculated results: TI-83 Plus Inferential Statistics and Distributions 405 The computed confidence interval depends on the user-specified confidence level. item 7) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. ZInterval ZInterval (one-sample z confidence interval;
User Manual
Page 409
item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown. In the example: L6={1.6 1.7 1.8 1.9} Data Stats Input: , , Calculated results: TI-83 Plus Inferential Statistics and Distributions 406 The computed confidence interval depends on the user-specified confidence level. TInterval TInterval (one-sample t confidence interval;
item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown. In the example: L6={1.6 1.7 1.8 1.9} Data Stats Input: , , Calculated results: TI-83 Plus Inferential Statistics and Distributions 406 The computed confidence interval depends on the user-specified confidence level. TInterval TInterval (one-sample t confidence interval;
User Manual
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item 0) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are unknown. In the example: SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} TI-83 Plus Inferential Statistics and Distributions 408 Calculated results: 2.SampTInt 2.SampTInt (two-sample t confidence interval; The computed confidence interval depends on the userspecified confidence level.
item 0) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are unknown. In the example: SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} TI-83 Plus Inferential Statistics and Distributions 408 Calculated results: 2.SampTInt 2.SampTInt (two-sample t confidence interval; The computed confidence interval depends on the userspecified confidence level.
User Manual
Page 422
... type of output to generate for the one-sample tests and intervals. The known population standard deviation from the first population for these inputs in the inferential stat editors. TI-83 Plus Inferential Statistics and Distributions 419 Input m0 s List Freq Calculate/Draw v, Sx, n s1 Description Hypothesized value of the list containing the data you are...
... type of output to generate for the one-sample tests and intervals. The known population standard deviation from the first population for these inputs in the inferential stat editors. TI-83 Plus Inferential Statistics and Distributions 419 Input m0 s List Freq Calculate/Draw v, Sx, n s1 Description Hypothesized value of the list containing the data you are...
User Manual
Page 425
...; Ç TEST Ç1 Ç1 TEST Ç2 Ç2 TEST TI-83 Plus Inferential Statistics and Distributions 422 Test and Interval Output Variables The inferential statistics variables are calculated as indicated below . Variables p-value test statistics degrees of freedom sample mean of x values for sample 1 and sample 2 sample standard deviation of x for sample 1 and sample 2 number of data...
...; Ç TEST Ç1 Ç1 TEST Ç2 Ç2 TEST TI-83 Plus Inferential Statistics and Distributions 422 Test and Interval Output Variables The inferential statistics variables are calculated as indicated below . Variables p-value test statistics degrees of freedom sample mean of x values for sample 1 and sample 2 sample standard deviation of x for sample 1 and sample 2 number of data...
User Manual
Page 429
... s=1. invNorm(area[,m,s]) TI-83 Plus Inferential Statistics and Distributions 426 normalcdf(lowerbound,upperbound[,m,s]) invNorm( invNorm( computes the inverse cumulative normal distribution function for the specified mean m and standard deviation s. normalcdf( normalcdf( computes the normal distribution probability between lowerbound and upperbound for a given area under the normal distribution curve specified by mean m and standard deviation s. It calculates the x value...
... s=1. invNorm(area[,m,s]) TI-83 Plus Inferential Statistics and Distributions 426 normalcdf(lowerbound,upperbound[,m,s]) invNorm( invNorm( computes the inverse cumulative normal distribution function for the specified mean m and standard deviation s. normalcdf( normalcdf( computes the normal distribution probability between lowerbound and upperbound for a given area under the normal distribution curve specified by mean m and standard deviation s. It calculates the x value...