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Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later. The students receive the following arithmetic test scores: Caffeine Content (mg/oz) Source Between Within Total SS 702.28 973.14 Cola 2.9 df 85 | < | < | < 86 82 75 66 78 87 The formula for the F-ratio is: T, = 559 SS, 338.86 = n₁ = 7 M₁ = 79.8571 Black Tea 5.9 85 89 82 75 88 76 82 MS T₂ = 577 2 SS₂ = 177.71 n₂ = 7 M₂ 82.4286 You plan to use an ANOVA to test the impact of drinks with different caffeine contents on students' test-taking abilities. What is the null hypothesis? = The population mean test scores for all three treatments are different. o The population mean test score for the cola population is different from the population mean test score for the black tea population. O The population mean test scores for all three treatments are not all equal. o The population mean test scores for all three treatments are equal. Calculate the degrees of freedom and the variances for the following ANOVA table: Coffee 13.4 92 87 80 89 96 83 92 T₂ = 619 SS₂ = 185.71 n₂ = 7 M₂ = 3 88.4286 T3 ΣΧ2 = 147,641 G = 1,755 N = 21 k = 3

Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later. The students receive the following arithmetic test scores: Caffeine Content (mg/oz) Source Between Within Total SS 702.28 973.14 Cola 2.9 df 85 | < | < | < 86 82 75 66 78 87 The formula for the F-ratio is: T, = 559 SS, 338.86 = n₁ = 7 M₁ = 79.8571 Black Tea 5.9 85 89 82 75 88 76 82 MS T₂ = 577 2 SS₂ = 177.71 n₂ = 7 M₂ 82.4286 You plan to use an ANOVA to test the impact of drinks with different caffeine contents on students' test-taking abilities. What is the null hypothesis? = The population mean test scores for all three treatments are different. o The population mean test score for the cola population is different from the population mean test score for the black tea population. O The population mean test scores for all three treatments are not all equal. o The population mean test scores for all three treatments are equal. Calculate the degrees of freedom and the variances for the following ANOVA table: Coffee 13.4 92 87 80 89 96 83 92 T₂ = 619 SS₂ = 185.71 n₂ = 7 M₂ = 3 88.4286 T3 ΣΧ2 = 147,641 G = 1,755 N = 21 k = 3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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F = MSbetween MSwithi Using words (chosen from the dropdown menu), the formula for the F-ratio can be written as: F = Using the data from the ANOVA table given, the F-ratio can be written as: F = Thus: F = Use the Distributions tool to find the critical region for a = 0.05. F Distribution Numerator Degrees of Freedom = 26 Denominator Degrees of Freedom = 26 ДДД 1 3 5 7 F At the a = 0.05 level of significance, what is your conclusion? O You can reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance. O You can reject the null hypothesis; caffeine does appear to affect test performance. O You cannot reject the null hypothesis; caffeine does appear to affect test performance. O You cannot reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance.
Transcribed Image Text:F = MSbetween MSwithi Using words (chosen from the dropdown menu), the formula for the F-ratio can be written as: F = Using the data from the ANOVA table given, the F-ratio can be written as: F = Thus: F = Use the Distributions tool to find the critical region for a = 0.05. F Distribution Numerator Degrees of Freedom = 26 Denominator Degrees of Freedom = 26 ДДД 1 3 5 7 F At the a = 0.05 level of significance, what is your conclusion? O You can reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance. O You can reject the null hypothesis; caffeine does appear to affect test performance. O You cannot reject the null hypothesis; caffeine does appear to affect test performance. O You cannot reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance.
Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later. The students receive the following arithmetic test scores: Caffeine Content (mg/oz) Source Between Within Total SS 702.28 973.14 Cola 2.9 df 85 | < | < | < 86 82 75 66 78 87 The formula for the F-ratio is: T, = 559 SS, 338.86 = n₁ = 7 M₁ = 79.8571 Black Tea 5.9 85 89 82 75 88 76 82 MS T₂ = 577 2 SS₂ = 177.71 n₂ = 7 M₂ 82.4286 You plan to use an ANOVA to test the impact of drinks with different caffeine contents on students' test-taking abilities. What is the null hypothesis? = The population mean test scores for all three treatments are different. o The population mean test score for the cola population is different from the population mean test score for the black tea population. O The population mean test scores for all three treatments are not all equal. o The population mean test scores for all three treatments are equal. Calculate the degrees of freedom and the variances for the following ANOVA table: Coffee 13.4 92 87 80 89 96 83 92 T₂ = 619 SS₂ = 185.71 n₂ = 7 M₂ = 3 88.4286 T3 ΣΧ2 = 147,641 G = 1,755 N = 21 k = 3
Transcribed Image Text:Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later. The students receive the following arithmetic test scores: Caffeine Content (mg/oz) Source Between Within Total SS 702.28 973.14 Cola 2.9 df 85 | < | < | < 86 82 75 66 78 87 The formula for the F-ratio is: T, = 559 SS, 338.86 = n₁ = 7 M₁ = 79.8571 Black Tea 5.9 85 89 82 75 88 76 82 MS T₂ = 577 2 SS₂ = 177.71 n₂ = 7 M₂ 82.4286 You plan to use an ANOVA to test the impact of drinks with different caffeine contents on students' test-taking abilities. What is the null hypothesis? = The population mean test scores for all three treatments are different. o The population mean test score for the cola population is different from the population mean test score for the black tea population. O The population mean test scores for all three treatments are not all equal. o The population mean test scores for all three treatments are equal. Calculate the degrees of freedom and the variances for the following ANOVA table: Coffee 13.4 92 87 80 89 96 83 92 T₂ = 619 SS₂ = 185.71 n₂ = 7 M₂ = 3 88.4286 T3 ΣΧ2 = 147,641 G = 1,755 N = 21 k = 3
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