User Manual
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Returns mean ( 4:median( 5:sum( 6:prod( 7:stdDev( 8:variance( Returns minimum element of elements in listA and listB. Returns standard deviation of a list. For a complex list, the element with smallest or largest magnitude (modulus) is returned. LIST MATH Menu LIST MATH Menu To ...of a list. Returns product of 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 sum of listA. min(, max( min( (minimum) and max( (maximum) return the smallest or largest element of elements in a list. NAMES...
Returns mean ( 4:median( 5:sum( 6:prod( 7:stdDev( 8:variance( Returns minimum element of elements in listA and listB. Returns standard deviation of a list. For a complex list, the element with smallest or largest magnitude (modulus) is returned. LIST MATH Menu LIST MATH Menu To ...of a list. Returns product of 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 sum of listA. min(, max( min( (minimum) and max( (maximum) return the smallest or largest element of elements in a list. NAMES...
User Manual
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... 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 elements in list. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 The default value for freqlist is 1. Each freqlist element counts the number of consecutive occurrences of the corresponding...
... 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 elements in list. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 The default value for freqlist is 1. Each freqlist element counts the number of consecutive occurrences of the corresponding...
User Manual
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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 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 y minimum of x ... If you edit...
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 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 y minimum of x ... If you edit...
User Manual
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... used when estimating the 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 Height (in centimeters) of...
... used when estimating the 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 Height (in centimeters) of...
User Manual
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... the 99 percent confidence interval for TInterval. To obtain a more precise bound on the population mean þ of 163.8 and sample standard deviation Sx of the intervals calculated to display the inferential stat editor for the population mean . The editor changes so that in a very ...(summary statistics) input option. 7. This is about 159.74 centimeters and 173.94 centimeters. The third line gives the sample standard deviation Sx. TI-83 Plus Inferential Statistics and Distributions 384 The second line gives the mean of the sample þ used to select Inpt:Stats.
... the 99 percent confidence interval for TInterval. To obtain a more precise bound on the population mean þ of 163.8 and sample standard deviation Sx of the intervals calculated to display the inferential stat editor for the population mean . The editor changes so that in a very ...(summary statistics) input option. 7. This is about 159.74 centimeters and 173.94 centimeters. The third line gives the sample standard deviation Sx. TI-83 Plus Inferential Statistics and Distributions 384 The second line gives the mean of the sample þ used to select Inpt:Stats.
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... Í to ü. TI-83 Plus Inferential Statistics and Distributions 385 Press 7 Ë 1 Í to store 7.1 to clear the home screen. The results are displayed on the home screen. Press ' to Sx. 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...
... Í to ü. TI-83 Plus Inferential Statistics and Distributions 385 Press 7 Ë 1 Í to store 7.1 to clear the home screen. The results are displayed on the home screen. Press ' to Sx. 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...
User Manual
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14. Area is the upper bound. up is the area above the 95th percentile. Press y Z ¢ 1 y D 99 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤. The normal curve is the lower bound. low is defined by a mean µ of 165.1 and a standard deviation σ of 6.35. 15. Press Í to paste ShadeNorm( to plot and shade the normal curve. Press Í to the home screen. TI-83 Plus Inferential Statistics and Distributions 387 Ans (175.5448205 from step 11) is the lower bound. 1å99 is the upper bound.
14. Area is the upper bound. up is the area above the 95th percentile. Press y Z ¢ 1 y D 99 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤. The normal curve is the lower bound. low is defined by a mean µ of 165.1 and a standard deviation σ of 6.35. 15. Press Í to paste ShadeNorm( to plot and shade the normal curve. Press Í to the home screen. TI-83 Plus Inferential Statistics and Distributions 387 Ans (175.5448205 from step 11) is the lower bound. 1å99 is the upper bound.
User Manual
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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; 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
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...: 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 It tests the null hypothesis H0: m=m0 against one -sample t test; If you set the decimal mode to Float or... fixed-decimal setting, your output may differ from the output in the examples. item 2) performs a hypothesis 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).
...: 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 It tests the null hypothesis H0: m=m0 against one -sample t test; If you set the decimal mode to Float or... fixed-decimal setting, your output may differ from the output in the examples. item 2) performs a hypothesis 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).
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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 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. 2.SampZTest 2.SampZTest (two-sample z test;
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 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. 2.SampZTest 2.SampZTest (two-sample z test;
User Manual
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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 Calculated results: , , Drawn results: 2.SampTTest 2.SampTTest (two-sample t test;
User Manual
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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. 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.
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TInterval TInterval (one-sample t confidence interval; 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 item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown.
TInterval TInterval (one-sample t confidence interval; 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 item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown.
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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. 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.
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. 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.
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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;
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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 2.SampÜTest 2.SampÜTest (two-sample Û-test;
User Manual
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...Statistics Input Descriptions The tables in this section describe the inferential statistics inputs discussed in List. The known population standard deviation; The name of output to generate for tests and intervals. Determines the type of the list containing the ...tests, Draw draws a graph of the population mean , standard deviation, and sample size) for these inputs in the inferential stat editors. Input m0 s List Freq Calculate/Draw v, Sx, n s1 Description Hypothesized value of the results. TI-83 Plus Inferential Statistics and Distributions 419 The tables present the inputs ...
...Statistics Input Descriptions The tables in this section describe the inferential statistics inputs discussed in List. The known population standard deviation; The name of output to generate for tests and intervals. Determines the type of the list containing the ...tests, Draw draws a graph of the population mean , standard deviation, and sample size) for these inputs in the inferential stat editors. Input m0 s List Freq Calculate/Draw v, Sx, n s1 Description Hypothesized value of the results. TI-83 Plus Inferential Statistics and Distributions 419 The tables present the inputs ...
User Manual
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... data you are testing for the two-sample tests and intervals. v1, Sx1, n1, v2, Sx2, Summary statistics (mean, standard deviation, and n2 sample size) for sample one for the two-sample tests and intervals. List1, List2 The names of successes from...count of successes in the two- p0 The expected sample proportion for 2.SampTTest and 2.SampTInt. TI-83 Plus Inferential Statistics and Distributions 420 Defaults are to be pooled for 1.PropZTest. No instructs the TI.83 not to pool the variances. Must be integers | 0. Pooled Specifies whether variances are L1 and...
... data you are testing for the two-sample tests and intervals. v1, Sx1, n1, v2, Sx2, Summary statistics (mean, standard deviation, and n2 sample size) for sample one for the two-sample tests and intervals. List1, List2 The names of successes from...count of successes in the two- p0 The expected sample proportion for 2.SampTTest and 2.SampTInt. TI-83 Plus Inferential Statistics and Distributions 420 Defaults are to be pooled for 1.PropZTest. No instructs the TI.83 not to pool the variances. Must be integers | 0. Pooled Specifies whether variances are L1 and...
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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 ... 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 ... 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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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. TI-83 Plus Inferential Statistics and Distributions 423