User Manual
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Returns product of a list. Returns standard deviation of elements in list. Returns the variance of elements in a list. If two lists are compared, it returns a list of the smaller or larger of each pair of a list. TI-83 Plus Lists 311 Returns median of listA. LIST MATH Menu LIST MATH Menu To display the LIST MATH...
Returns product of a list. Returns standard deviation of elements in list. Returns the variance of elements in a list. If two lists are compared, it returns a list of the smaller or larger of each pair of a list. TI-83 Plus Lists 311 Returns median of listA. LIST MATH Menu LIST MATH Menu To display the LIST MATH...
User Manual
Page 317
... element in list. Complex lists are not valid. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 The default value for freqlist is 1. Complex lists are not valid. To evaluate G 2(N-1) from N=1 to 4: stdDev(, variance( stdDev( returns the standard deviation of the corresponding element in list. Each freqlist element counts the number of consecutive...
... element in list. Complex lists are not valid. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 The default value for freqlist is 1. Complex lists are not valid. To evaluate G 2(N-1) from N=1 to 4: stdDev(, variance( stdDev( returns the standard deviation of the corresponding element in list. Each freqlist element counts the number of consecutive...
User Manual
Page 368
... The statistical variables are cleared. 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 y minimum of analysis, all...;, and select 5:Statistics. To access these variables for use in the column below . 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...
... The statistical variables are cleared. 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 y minimum of analysis, all...;, and select 5:Statistics. To access these variables for use in the column below . 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
... estimating the mean of 165.1 centimeters and a standard deviation of 789). Chapter 13: Inferential Statistics and Distributions Getting Started: Mean Height 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 Height (in centimeters...
... estimating the mean of 165.1 centimeters and a standard deviation of 789). Chapter 13: Inferential Statistics and Distributions Getting Started: Mean Height 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 Height (in centimeters...
User Manual
Page 387
... enter summary statistics as input. The third line gives the sample standard deviation Sx. To obtain a more precise bound on the population mean of the population sampled is 165.1 centimeters, which is about 159.74 centimeters and 173.94 centimeters. TI-83 Plus Inferential Statistics and Distributions 384 The bottom line gives the sample size...
... enter summary statistics as input. The third line gives the sample standard deviation Sx. To obtain a more precise bound on the population mean of the population sampled is 165.1 centimeters, which is about 159.74 centimeters and 173.94 centimeters. TI-83 Plus Inferential Statistics and Distributions 384 The bottom line gives the sample size...
User Manual
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.... TI-83 Plus Inferential Statistics and Distributions 385 Press 90 Í to store 90 to calculate the new 99 percent confidence interval. Press † to move the cursor onto Calculate, and then press Í to n. 9. 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...
.... TI-83 Plus Inferential Statistics and Distributions 385 Press 90 Í to store 90 to calculate the new 99 percent confidence interval. Press † to move the cursor onto Calculate, and then press Í to n. 9. 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...
User Manual
Page 390
Press Í to the home screen. Area is the upper bound. Ans (175.5448205 from step 11) is the lower bound. 1å99 is the area above the 95th percentile. low is defined by a mean µ of 165.1 and a standard deviation σ of 6.35. 15. Press y Z ¢ 1 y D 99 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤. The normal curve is the lower bound. 14. up is the upper bound. TI-83 Plus Inferential Statistics and Distributions 387 Press Í to paste ShadeNorm( to plot and shade the normal curve.
Press Í to the home screen. Area is the upper bound. Ans (175.5448205 from step 11) is the lower bound. 1å99 is the area above the 95th percentile. low is defined by a mean µ of 165.1 and a standard deviation σ of 6.35. 15. Press y Z ¢ 1 y D 99 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤. The normal curve is the lower bound. 14. up is the upper bound. TI-83 Plus Inferential Statistics and Distributions 387 Press Í to paste ShadeNorm( to plot and shade the normal curve.
User Manual
Page 399
It tests the null hypothesis H0: m=m0 against one -sample z test; item 1) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is known. 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
It tests the null hypothesis H0: m=m0 against one -sample z test; item 1) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is known. 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
User Manual
Page 400
... the examples. 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
... the examples. 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 402
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 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.
User Manual
Page 403
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 Calculated results: , , Drawn results: 2.SampTTest 2.SampTTest (two-sample t test;
User Manual
Page 408
item 7) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. 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. 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. 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. 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. The computed confidence interval depends on the user-specified confidence level. TInterval TInterval (one-sample t confidence interval; 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
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. TInterval TInterval (one-sample t confidence interval; 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
User Manual
Page 410
The computed confidence interval depends on the user-specified confidence level. item 9) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are known. 2.SampZInt 2.SampZInt (two-sample z confidence interval; 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
The computed confidence interval depends on the user-specified confidence level. item 9) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are known. 2.SampZInt 2.SampZInt (two-sample z confidence interval; 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
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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 The computed confidence interval depends on the userspecified confidence level. Calculated results: 2.SampTInt 2.SampTInt (two-sample t confidence interval; 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 The computed confidence interval depends on the userspecified confidence level. Calculated results: 2.SampTInt 2.SampTInt (two-sample t confidence interval; item 0) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are unknown.
User Manual
Page 417
2.SampÜTest 2.SampÜTest (two-sample Û-test; 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 item D) computes an Û-test to compare two normal population standard deviations (s1 and s2).
2.SampÜTest 2.SampÜTest (two-sample Û-test; 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 item D) computes an Û-test to compare two normal population standard deviations (s1 and s2).
User Manual
Page 422
... one-sample tests and intervals. must be integers | 0. Must be a real number > 0. The known population standard deviation; The known population standard deviation from the first population for tests and intervals. You enter values for the data in List. Input m0 s List...elements must be a real number > 0. Summary statistics (mean that they appear in the inferential stat editors. Default=1. TI-83 Plus Inferential Statistics and Distributions 419 Inferential Statistics Input Descriptions The tables in this section describe the inferential statistics inputs discussed in...
... one-sample tests and intervals. must be integers | 0. Must be a real number > 0. The known population standard deviation; The known population standard deviation from the first population for tests and intervals. You enter values for the data in List. Input m0 s List...elements must be a real number > 0. Summary statistics (mean that they appear in the inferential stat editors. Default=1. TI-83 Plus Inferential Statistics and Distributions 419 Inferential Statistics Input Descriptions The tables in this section describe the inferential statistics inputs discussed in...
User Manual
Page 423
... pool the variances. Defaults are testing for the two-sample tests and intervals. TI-83 Plus Inferential Statistics and Distributions 420 No instructs the TI.83 not to pool the variances. Must be an integer > 0. v1, Sx1, n1, v2, Sx2, Summary statistics (mean, standard deviation, and n2 sample size) for sample one for the 2.PropZTest and 2.PropZInt...
... pool the variances. Defaults are testing for the two-sample tests and intervals. TI-83 Plus Inferential Statistics and Distributions 420 No instructs the TI.83 not to pool the variances. Must be an integer > 0. v1, Sx1, n1, v2, Sx2, Summary statistics (mean, standard deviation, and n2 sample size) for sample one for the 2.PropZTest and 2.PropZInt...
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.