User Manual
Page 314
... MATH Menu To display the LIST MATH menu, press y 9 |. Returns standard deviation of elements in a list. Returns mean ( 4:median( 5:sum( 6:prod( 7:stdDev( 8:variance( Returns minimum element of a list. For a complex list, the element with smallest or largest magnitude (modulus) is returned. TI-83 Plus Lists 311 Returns sum of a list. Returns the variance of elements...
... MATH Menu To display the LIST MATH menu, press y 9 |. Returns standard deviation of elements in a list. Returns mean ( 4:median( 5:sum( 6:prod( 7:stdDev( 8:variance( Returns minimum element of a list. For a complex list, the element with smallest or largest magnitude (modulus) is returned. TI-83 Plus Lists 311 Returns sum of a list. Returns the variance of elements...
User Manual
Page 317
... valid. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. variance( returns the variance of the elements in list. To evaluate G 2(N-1) from N=1 to 4: stdDev(, variance( stdDev( returns the standard deviation of the elements in list. The default value...
... valid. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. variance( returns the variance of the elements in list. To evaluate G 2(N-1) from N=1 to 4: stdDev(, variance( stdDev( returns the standard deviation of the elements in list. The default value...
User Manual
Page 368
... indicated below under VARS menu. If you edit a list or change the type 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 Variables mean of x values... sum of x values sum of x2 values sample standard deviation of x population standard deviation of x number of data points mean of y values sum of y values sum of y2 values sample...
... indicated below under VARS menu. If you edit a list or change the type 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 Variables mean of x values... sum of x values sum of x2 values sample standard deviation of x population standard deviation of x number of data points mean of y values sum of y values sum of y2 values sample...
User Manual
Page 384
... generated from a normally distributed population with an assumed mean of 165.1 centimeters and a standard deviation of 6.35 centimeters (randNorm(165.1,6.35,90) with a seed of 10 Women 169.43 168.33 159.55 169.97 159.79 181.42 171.17 162.04 167.15 159.53 TI-83 Plus Inferential Statistics and Distributions 381
... generated from a normally distributed population with an assumed mean of 165.1 centimeters and a standard deviation of 6.35 centimeters (randNorm(165.1,6.35,90) with a seed of 10 Women 169.43 168.33 159.55 169.97 159.79 181.42 171.17 162.04 167.15 159.53 TI-83 Plus Inferential Statistics and Distributions 381
User Manual
Page 387
...spread. The editor changes so that the 99 percent confidence interval for TInterval. The .99 confidence level indicates that in the calculated interval. TI-83 Plus Inferential Statistics and Distributions 384 This time, use the Stats (summary statistics) input option. 7. Press ... | 8 to compute this interval....number of samples, we expect 99 percent of the intervals calculated to contain the population mean þ of 163.8 and sample standard deviation Sx of women's heights, increase the sample size to select Inpt:Stats. The second line gives the mean m of 7.1 ...
...spread. The editor changes so that the 99 percent confidence interval for TInterval. The .99 confidence level indicates that in the calculated interval. TI-83 Plus Inferential Statistics and Distributions 384 This time, use the Stats (summary statistics) input option. 7. Press ... | 8 to compute this interval....number of samples, we expect 99 percent of the intervals calculated to contain the population mean þ of 163.8 and sample standard deviation Sx of women's heights, increase the sample size to select Inpt:Stats. The second line gives the mean m of 7.1 ...
User Manual
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... on the home screen. Press ' to display the DISTR (distributions) menu. TI-83 Plus Inferential Statistics and Distributions 385 Press y = to clear the home screen. 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...
... on the home screen. Press ' to display the DISTR (distributions) menu. TI-83 Plus Inferential Statistics and Distributions 385 Press y = to clear the home screen. 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...
User Manual
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TI-83 Plus Inferential Statistics and Distributions 387 14. Press y Z ¢ 1 y D 99 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤. The normal curve is the upper bound. up is defined by a mean µ of 165.1 and a standard deviation σ of 6.35. 15. Ans (175.5448205 from step 11) is the lower bound. 1å99 is the lower bound. low is the upper bound. Press Í to paste ShadeNorm( to plot and shade the normal curve. Press Í to the home screen. Area is the area above the 95th percentile.
TI-83 Plus Inferential Statistics and Distributions 387 14. Press y Z ¢ 1 y D 99 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤. The normal curve is the upper bound. up is defined by a mean µ of 165.1 and a standard deviation σ of 6.35. 15. Ans (175.5448205 from step 11) is the lower bound. 1å99 is the lower bound. low is the upper bound. Press Í to paste ShadeNorm( to plot and shade the normal curve. Press Í to the home screen. Area is the area above the 95th percentile.
User Manual
Page 399
Z.Test Z.Test (one of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 396 item 1) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is known. It tests the null hypothesis H0: m=m0 against one -sample z test;
Z.Test Z.Test (one of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 396 item 1) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is known. It tests the null hypothesis H0: m=m0 against one -sample z test;
User Manual
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... test for a single unknown population mean m when the population standard deviation s is unknown. T.Test T.Test (one of 4 (Chapter 1). 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
... test for a single unknown population mean m when the population standard deviation s is unknown. T.Test T.Test (one of 4 (Chapter 1). 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
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2.SampZTest 2.SampZTest (two-sample z test; The null hypothesis H0: m1=m2 is tested against one of two populations (m1 and m2) based on independent samples when both population standard deviations (s1 and s2) are known. item 3) tests the equality of the means of the alternatives below. • Ha: m1ƒm2 (m1:ƒm2) • Ha: m1m2) In the example: LISTA={154 109 137 115 140} LISTB={108 115 126 92 146} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 399
2.SampZTest 2.SampZTest (two-sample z test; The null hypothesis H0: m1=m2 is tested against one of two populations (m1 and m2) based on independent samples when both population standard deviations (s1 and s2) are known. item 3) tests the equality of the means of the alternatives below. • Ha: m1ƒm2 (m1:ƒm2) • Ha: m1m2) In the example: LISTA={154 109 137 115 140} LISTB={108 115 126 92 146} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 399
User Manual
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Calculated results: , , Drawn results: 2.SampTTest 2.SampTTest (two-sample t test; The null hypothesis H0: m1=m2 is known. item 4) tests the equality of the means of two populations (m1 and m2) based on independent samples when neither population standard deviation (s1 or s2) is tested against one 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 known. item 4) tests the equality of the means of two populations (m1 and m2) based on independent samples when neither population standard deviation (s1 or s2) is tested against one 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 ZInterval ZInterval (one-sample z confidence interval; item 7) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. The computed confidence interval depends on the user-specified confidence level.
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 ZInterval ZInterval (one-sample z confidence interval; item 7) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. The computed confidence interval depends on the user-specified confidence level.
User Manual
Page 409
item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown. The computed confidence interval depends on the user-specified confidence level. 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 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. The computed confidence interval depends on the user-specified confidence level. 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 TInterval TInterval (one-sample t confidence interval;
User Manual
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The computed confidence interval depends on the user-specified confidence level. In the example: LISTC={154 109 137 115 140} LISTD={108 115 126 92 146} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 407 2.SampZInt 2.SampZInt (two-sample z confidence interval; item 9) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are known.
The computed confidence interval depends on the user-specified confidence level. In the example: LISTC={154 109 137 115 140} LISTD={108 115 126 92 146} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 407 2.SampZInt 2.SampZInt (two-sample z confidence interval; item 9) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are known.
User Manual
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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. 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;
User Manual
Page 417
2.SampÜTest 2.SampÜTest (two-sample Û-test; item D) computes an Û-test to compare two normal population standard deviations (s1 and s2). The population means and standard deviations are all unknown. 2.SampÜTest, which uses the ratio of sample variances Sx12/Sx22, tests the null hypothesis H0: s1=s2 against one of the alternatives below. • Ha: s1ƒs2 (s1:ƒs2) • Ha: s1s2) In the example: SAMP4={ SAMP5={ 7 L4 18 17 L3 L5 1 10 11L2} L1 12 L1 L3 3 L5 5 2L11 L1L3} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 414
2.SampÜTest 2.SampÜTest (two-sample Û-test; item D) computes an Û-test to compare two normal population standard deviations (s1 and s2). The population means and standard deviations are all unknown. 2.SampÜTest, which uses the ratio of sample variances Sx12/Sx22, tests the null hypothesis H0: s1=s2 against one of the alternatives below. • Ha: s1ƒs2 (s1:ƒs2) • Ha: s1s2) In the example: SAMP4={ SAMP5={ 7 L4 18 17 L3 L5 1 10 11L2} L1 12 L1 L3 3 L5 5 2L11 L1L3} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 414
User Manual
Page 422
... Summary statistics (mean that they appear in the inferential stat editors. TI-83 Plus Inferential Statistics and Distributions 419 All elements must be a real number > 0. The known population standard deviation from the first population for the one-sample tests and intervals. Default... value of the results. In tests, Draw draws a graph of the population mean , standard deviation, and sample size) for the two-sample tests and intervals. The known population standard deviation; The tables present the inputs in the same order that you are testing. Must be ...
... Summary statistics (mean that they appear in the inferential stat editors. TI-83 Plus Inferential Statistics and Distributions 419 All elements must be a real number > 0. The known population standard deviation from the first population for the one-sample tests and intervals. Default... value of the results. In tests, Draw draws a graph of the population mean , standard deviation, and sample size) for the two-sample tests and intervals. The known population standard deviation; The tables present the inputs in the same order that you are testing. Must be ...
User Manual
Page 423
..., Sx1, n1, v2, Sx2, Summary statistics (mean, standard deviation, and n2 sample size) for sample one for the 2.PropZTest and 2.PropZInt. Yes instructs the TI.83 to pool the variances. Input Description s2 The known population standard deviation from sample one and sample two in the sample for the... 1.PropZTest and 1.PropZInt. Must be an integer > 0. Defaults are to be pooled for 2.SampTTest and 2.SampTInt. x The count of the lists containing the data you are testing for 1.PropZTest. TI-83 Plus ...
..., Sx1, n1, v2, Sx2, Summary statistics (mean, standard deviation, and n2 sample size) for sample one for the 2.PropZTest and 2.PropZInt. Yes instructs the TI.83 to pool the variances. Input Description s2 The known population standard deviation from sample one and sample two in the sample for the... 1.PropZTest and 1.PropZInt. Must be an integer > 0. Defaults are to be pooled for 2.SampTTest and 2.SampTInt. x The count of the lists containing the data you are testing for 1.PropZTest. TI-83 Plus ...
User Manual
Page 425
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 points for sample 1 and sample 2 pooled standard deviation estimated sample proportion estimated sample proportion for population 1 estimated sample proportion for use in expressions, press , 5 (5:Statistics), and then... TEST Sx1, Sx2 n1, n2 Sx1, Sx2 n1, n2 TEST TEST SxP SxP SxP TEST Ç Ç TEST Ç1 Ç1 TEST Ç2 Ç2 TEST TI-83 Plus Inferential Statistics and Distributions 422
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 points for sample 1 and sample 2 pooled standard deviation estimated sample proportion estimated sample proportion for population 1 estimated sample proportion for use in expressions, press , 5 (5:Statistics), and then... TEST Sx1, Sx2 n1, n2 Sx1, Sx2 n1, n2 TEST TEST SxP SxP SxP TEST Ç Ç TEST Ç1 Ç1 TEST Ç2 Ç2 TEST TI-83 Plus Inferential Statistics and Distributions 422
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TI-83 Plus Inferential Statistics and Distributions 423 Variables confidence interval pair mean of x values sample standard deviation of x number of data points standard error about the line regression/fit coefficients correlation coefficient coefficient of determination regression equation Tests v Sx n LinRegTTest Intervals ANOVA lower, upper v Sx n s a, b r r2 RegEQ VARS Menu TEST XY XY XY TEST EQ EQ EQ EQ Note: The variables listed above cannot be archived.
TI-83 Plus Inferential Statistics and Distributions 423 Variables confidence interval pair mean of x values sample standard deviation of x number of data points standard error about the line regression/fit coefficients correlation coefficient coefficient of determination regression equation Tests v Sx n LinRegTTest Intervals ANOVA lower, upper v Sx n s a, b r r2 RegEQ VARS Menu TEST XY XY XY TEST EQ EQ EQ EQ Note: The variables listed above cannot be archived.