Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restfulsleep at night. In fact, she believes that, on average, adults will have more than two additional nights ofrestful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8adults to help her test this theory. Each person is asked to consume two caffeinated beverages per dayfor 28 days, and then cut back to no caffeinated beverages for the following 28 days. During eachperiod, the participants record the numbers of nights of restful sleep that they had. The following tablegives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that thepopulation distribution of the paired differences is approximately normal. Let the period beforeremoving caffeine be Population 1 and let the period after removing caffeine be Population 2.Numbers of Nights of Restful Sleep in a Four-Week PeriodWith Caffeine24 22 24 20 23 21 16 20Without Caffeine2827 2425 25 21 21 21Copy DataStep 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

Supppose during each period, the participants record the number of nights of restful sleep that they…

Answered: Sarah believes that completely cutting…

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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A health scientist is testing the effectiveness of three different diets (Diet A, Diet B, and Diet C). To determine diet effectiveness, a group of 72 participants were weighed and then randomly assigned to adhere to one of the three diets for a month (N = 24 for each group). At the end of the month, each participant was weighed again and the amount of weight lost was calculated in kilograms (kg). Using the variables “Diet” and “Weight Loss kg”, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, AND conduct Tukey's Post Hoc testing to find out which of the three diets was most effective. Identify the correct symbolic notation for the alternative hypothesis. A. HA: µ1 ≠ µ2 ≠ µ3 B. H0: µ1 = µ2 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2
A health scientist is testing the effectiveness of three different diets (Diet A, Diet B, and Diet C). To determine diet effectiveness, a group of 72 participants were weighed and then randomly assigned to adhere to one of the three diets for a month (N = 24 for each group). At the end of the month, each participant was weighed again and the amount of weight lost was calculated in kilograms (kg). Using the variables “Diet” and “Weight Loss kg”, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, AND conduct Tukey's Post Hoc testing to find out which of the three diets was most effective. Identify the correct symbolic notation for the null hypothesis. A. HA: µ1 ≠ µ2 B. H0: µ1 = µ2 = µ3 C. HA: µ1 ≠ µ2 ≠ µ3 D. H0: µ1 = µ2
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