Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8 adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each period, the participants record the numbers of nights of restful sleep that they had. The following table gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let the period before removing caffeine be Population 1 and let the period after removing caffeine be Population 2. Numbers of Nights of Restful Sleep in a Four-Week Period With Caffeine 24 22 24 20 23 21 16 20 Without Caffeine 28 27 24 25 25 21 21 21 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8 adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each period, the participants record the numbers of nights of restful sleep that they had. The following table gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let the period before removing caffeine be Population 1 and let the period after removing caffeine be Population 2. Numbers of Nights of Restful Sleep in a Four-Week Period With Caffeine 24 22 24 20 23 21 16 20 Without Caffeine 28 27 24 25 25 21 21 21 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...
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Transcribed Image Text:Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful
sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of
restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8
adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day
for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each
period, the participants record the numbers of nights of restful sleep that they had. The following table
gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the
population distribution of the paired differences is approximately normal. Let the period before
removing caffeine be Population 1 and let the period after removing caffeine be Population 2.
Numbers of Nights of Restful Sleep in a Four-Week Period
With Caffeine
24 22 24 20 23 21 16 20
Without Caffeine
28
27 24
25 25 21 21 21
Copy Data
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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