Attempts: Average: /13 8. Hypothesis testing with ANOVA Opinions about whether c
ID: 3151315 • Letter: A
Question
Attempts: Average: /13 8. Hypothesis testing with ANOVA 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: Cola 2.9 85 86 82 75 Water Coffee 13.4 92 87 80 89 96 83 92 Caffeine Content (mg/oz) 78 2x2 141,479 G 1,715 N=21 72 72 64 81 82 78 87 T1.537 T2.559 T3-619 SS1 381.43 SS2 338.86 SS3 185.71 M1-76.7143 M2= 79.8571 M)288.4286Explanation / Answer
a) H0: All the population mean scores of treatments are equal
b) Using Excel
F cal=5.112
Conclusion:
F cal=5.112 and F critical value=3.55
F cal> F critical value we reject the H0. Hence claim is significant
Atleast one population mean is different
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Water 7 537 76.71429 63.57143 cola 7 559 79.85714 56.47619 coffee 7 619 88.42857 30.95238 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 514.6667 2 257.3333 5.112583 0.017447 3.554557 Within Groups 906 18 50.33333 Total 1420.667 20Related Questions
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