Guidebook
Page 182
... a list. median( returns the median value of listA. Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. 7: stdDev( Returns standard deviation of a list. 8: variance( Returns the variance of elements in list. Chapter 11: Lists 175 If two lists are the same as min( and max( on...
... a list. median( returns the median value of listA. Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. 7: stdDev( Returns standard deviation of a list. 8: variance( Returns the variance of elements in list. Chapter 11: Lists 175 If two lists are the same as min( and max( on...
Guidebook
Page 183
... can combine sum( or prod( with seq( to obtain: upper G expression(x) upper ∏ expression(x) x=lower x=lower To evaluate G 2(N-1) from N=1 to 4: stdDev(, variance( stdDev( returns the standard deviation of Numeric Sequences You can be real or complex numbers. prod( returns the product of all elements of the corresponding element in list. start ,end...
... can combine sum( or prod( with seq( to obtain: upper G expression(x) upper ∏ expression(x) x=lower x=lower To evaluate G 2(N-1) from N=1 to 4: stdDev(, variance( stdDev( returns the standard deviation of Numeric Sequences You can be real or complex numbers. prod( returns the product of all elements of the corresponding element in list. start ,end...
Guidebook
Page 213
...the Manual-Fit equation in the symbolic expression Y=mX+B, and refreshes the graph with the updated Manual-Fit Line. If you to finish the Manual Fit function. This takes you edit a list or change the type of y values 1st quartile median 3rd...sum of y2 values sample standard deviation of y population standard deviation of y sum of x ... Statistical Variables The statistical variables are cleared. Then select the VARS menu shown in expressions, press , and select 5:Statistics. To access these variables for graphing. The calculator stores the current mX+b expression...
...the Manual-Fit equation in the symbolic expression Y=mX+B, and refreshes the graph with the updated Manual-Fit Line. If you to finish the Manual Fit function. This takes you edit a list or change the type of y values 1st quartile median 3rd...sum of y2 values sample standard deviation of y population standard deviation of y sum of x ... Statistical Variables The statistical variables are cleared. Then select the VARS menu shown in expressions, press , and select 5:Statistics. To access these variables for graphing. The calculator stores the current mX+b expression...
Guidebook
Page 222
... first 10 of 90 values, randomly generated from a normally distributed population with a seed of 789). Press † to estimate the mean of 165.1 centimeters and a standard deviation of 6.35 centimeters (randNorm(165.1,6.35,90) with an assumed mean height of a population of 10 Women 169.43 168.33 159.55 169.97...
... first 10 of 90 values, randomly generated from a normally distributed population with a seed of 789). Press † to estimate the mean of 165.1 centimeters and a standard deviation of 6.35 centimeters (randNorm(165.1,6.35,90) with an assumed mean height of a population of 10 Women 169.43 168.33 159.55 169.97...
Guidebook
Page 223
... 8:TInterval is not selected for TInterval. Press † † Ë 99 to contain the population mean v of 163.8 and sample standard deviation Sx of the intervals calculated to enter a 99 percent confidence level at the C-Level: prompt. 6. The .99 confidence level indicates that in the..., we expect 99 percent of 7.1 calculated from the larger random sample. 4. Interpreting the results The first line, (159.74,173.94), shows that you can enter summary statistics as input. The third line gives the sample standard deviation Sx. The editor changes so that ...
... 8:TInterval is not selected for TInterval. Press † † Ë 99 to contain the population mean v of 163.8 and sample standard deviation Sx of the intervals calculated to enter a 99 percent confidence level at the C-Level: prompt. 6. The .99 confidence level indicates that in the..., we expect 99 percent of 7.1 calculated from the larger random sample. 4. Interpreting the results The first line, (159.74,173.94), shows that you can enter summary statistics as input. The third line gives the sample standard deviation Sx. The editor changes so that ...
Guidebook
Page 224
... new 99 percent confidence interval. Press † to move the cursor onto Calculate, and then press Í to n. 3. Press y = to open the invNorm( wizard. Press 3 to display the DISTR (distributions) menu. 5. Xmin=145 Ymin=L.02 Xmax=... on the home screen; Now graph and shade the top 5 percent of the women (the 95th percentile)? 4. Press † 163 Ë 8 Í to store 163.8 to calculate the result. If the height distribution among a population of women is normally distributed with a mean m of 165.1 centimeters and a standard deviation s of 6.35 centimeters, what...
... new 99 percent confidence interval. Press † to move the cursor onto Calculate, and then press Í to n. 3. Press y = to open the invNorm( wizard. Press 3 to display the DISTR (distributions) menu. 5. Xmin=145 Ymin=L.02 Xmax=... on the home screen; Now graph and shade the top 5 percent of the women (the 95th percentile)? 4. Press † 163 Ë 8 Í to store 163.8 to calculate the result. If the height distribution among a population of women is normally distributed with a mean m of 165.1 centimeters and a standard deviation s of 6.35 centimeters, what...
Guidebook
Page 225
... or interval's input requirements. Below is pasted to display the DISTR DRAW menu. 9. The editors vary according to plot and shade the normal curve. Enter a standard deviation s of 165 Ë 1 for the normal curve and press †. Inferential Stat Editors Displaying the Inferential Stat Editors When you select the ANOVA( instruction, it...
... or interval's input requirements. Below is pasted to display the DISTR DRAW menu. 9. The editors vary according to plot and shade the normal curve. Enter a standard deviation s of 165 Ë 1 for the normal curve and press †. Inferential Stat Editors Displaying the Inferential Stat Editors When you select the ANOVA( instruction, it...
Guidebook
Page 230
... 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 Input: Stats Calculated results: Drawn results: Note...
... 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 Input: Stats Calculated results: Drawn results: Note...
Guidebook
Page 231
T-Test T-Test (one of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) In the example: TEST={91.9, 97.8, 111.4, 122.3, 105.4, 95} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 224 It tests the null hypothesis H0: m=m0 against 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.
T-Test T-Test (one of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) In the example: TEST={91.9, 97.8, 111.4, 122.3, 105.4, 95} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 224 It tests the null hypothesis H0: m=m0 against 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.
Guidebook
Page 232
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 Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 225
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 Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 225
Guidebook
Page 233
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) 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} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 226
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) 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} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 226
Guidebook
Page 236
In the example: L1={299.4, 297.7, 301, 298.9, 300.2, 297} Data Input: Stats Calculated results: TInterval TInterval (one -sample z confidence interval; The computed confidence interval depends on the user-specified confidence level. In the example: L6={1.6,...depends on the user-specified confidence level. item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. ZInterval ZInterval (one -sample t confidence interval; item 7) computes a confidence interval for an unknown population mean m when the population...
In the example: L1={299.4, 297.7, 301, 298.9, 300.2, 297} Data Input: Stats Calculated results: TInterval TInterval (one -sample z confidence interval; The computed confidence interval depends on the user-specified confidence level. In the example: L6={1.6,...depends on the user-specified confidence level. item 8) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. ZInterval ZInterval (one -sample t confidence interval; item 7) computes a confidence interval for an unknown population mean m when the population...
Guidebook
Page 237
Data Calculated results: Stats 2-SampZInt 2-SampZInt (two-sample z confidence interval; 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 Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 230 item 9) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are known.
Data Calculated results: Stats 2-SampZInt 2-SampZInt (two-sample z confidence interval; 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 Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 230 item 9) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are known.
Guidebook
Page 238
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} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 231 The computed confidence interval depends on the user-specified confidence level.
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} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 231 The computed confidence interval depends on the user-specified confidence level.
Guidebook
Page 242
... and s2). 2-SampFTest 2-SampÜTest (two-sample Ü-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 ...: s1s2) In the example: SAMP4={7,L4, 18, 17, L3, L5, 1, 10, 11, L2} SAMP5={L1, 12, L1, L3, 3, L5, 5, 2, L11, L1, L3} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 235
... and s2). 2-SampFTest 2-SampÜTest (two-sample Ü-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 ...: s1s2) In the example: SAMP4={7,L4, 18, 17, L3, L5, 1, 10, 11, L2} SAMP5={L1, 12, L1, L3, 3, L5, 5, 2, L11, L1, L3} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 235
Guidebook
Page 246
... be a real number > 0. Must be a real number > 0. s2 The known population standard deviation from the first population for the 2-PropZTest and 2-PropZInt. No instructs the TI-84 Plus not to generate for the two-sample tests and intervals. x2 The count of observations in the... list containing the data you are testing. Calculate displays the output on the home screen. In tests, Draw draws a graph of successes in List1 and List2 for the 1-PropZTest and 1-PropZInt. s1 The known population standard deviation from the second population for the 1-PropZTest and...
... be a real number > 0. Must be a real number > 0. s2 The known population standard deviation from the first population for the 2-PropZTest and 2-PropZInt. No instructs the TI-84 Plus not to generate for the two-sample tests and intervals. x2 The count of observations in the... list containing the data you are testing. Calculate displays the output on the home screen. In tests, Draw draws a graph of successes in List1 and List2 for the 1-PropZTest and 1-PropZInt. s1 The known population standard deviation from the second population for the 1-PropZTest and...
Guidebook
Page 247
... a Y= variable is to the RegEQ variable only. The count of the Y= variable where the calculated regression equation is specified, that represents the columns and rows for the observed values of a two-way...calculated as a percent and is to store the regression equation to be an integer > 0. Test and Interval Output Variables The inferential statistics variables are L1 and L2, respectively. 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 pooled standard deviation...
... a Y= variable is to the RegEQ variable only. The count of the Y= variable where the calculated regression equation is specified, that represents the columns and rows for the observed values of a two-way...calculated as a percent and is to store the regression equation to be an integer > 0. Test and Interval Output Variables The inferential statistics variables are L1 and L2, respectively. 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 pooled standard deviation...
Guidebook
Page 248
... archived. Variables estimated sample proportion estimated sample proportion for population 1 estimated sample proportion for population 2 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 the DISTR functions will take the user to a wizard screen for that...
... archived. Variables estimated sample proportion estimated sample proportion for population 1 estimated sample proportion for population 2 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 the DISTR functions will take the user to a wizard screen for that...
Guidebook
Page 249
... plot the normal distribution, paste normalpdf( to view the area left of upperbound, for the specified mean m and standard deviation s. The defaults are mean m falls between lowerbound and upperbound for example, specify lowerbound= L1â99. If ...you can set window variables Xmin and Xmax so that the mean m=0 and standard deviation s=1. normalpdf( normalpdf( computes the probability density function (pdf) for the normal distribution at a specified x value. The probability density function (pdf) is...
... plot the normal distribution, paste normalpdf( to view the area left of upperbound, for the specified mean m and standard deviation s. The defaults are mean m falls between lowerbound and upperbound for example, specify lowerbound= L1â99. If ...you can set window variables Xmin and Xmax so that the mean m=0 and standard deviation s=1. normalpdf( normalpdf( computes the probability density function (pdf) for the normal distribution at a specified x value. The probability density function (pdf) is...
Guidebook
Page 250
... Distributions 243 normalcdf(lowerbound,upperbound[,m,s]) invNorm( invNorm( computes the inverse cumulative normal distribution function for a given area under the curve. The defaults are m=0 and s=1. It calculates the x value associated with an area to the Y= editor. invNorm(area[,m,s]) invT( invT( computes the inverse cumulative Student-t probability function specified by mean m and standard deviation s.
... Distributions 243 normalcdf(lowerbound,upperbound[,m,s]) invNorm( invNorm( computes the inverse cumulative normal distribution function for a given area under the curve. The defaults are m=0 and s=1. It calculates the x value associated with an area to the Y= editor. invNorm(area[,m,s]) invT( invT( computes the inverse cumulative Student-t probability function specified by mean m and standard deviation s.