Mateo believes that completely at night. He randomly selects 8 adults to help him test this theory. beverages per day for 28 days and then cut back to no caffeinated bevarages for an add period, the participants record the number of nights of restful sleep that they had. The following table gives the of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. umber of Nights of Restful Sleep in a Four-Week Period With Caffeine 18 15 21 20 22 24 20 26 23 27 21 24 26 21 Without Caffeine 22 23 a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value = Decision: (5) Conclusion:

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Author:Amos Gilat
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Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep
at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated
beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each
period, the participants record the number of nights of restful sleep that they had. The following table gives the results
of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed.
Number of Nights of Restful Sleep in a Four-Week Period
15
With Caffeine
21 20
22 24
18
21
24
20
26
26 22
21
23
27
23
Without Caffeine
a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers.
b) Test the claim
(1) Determine the null and alternative hypotheses. Enter correct symbol and values
Ho:
H₁:
(2) Type of test:
(3) a =
(4) Test statistic (to) =
p-value =
Decision:
(5) Conclusion:
Transcribed Image Text:Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value = Decision: (5) Conclusion:
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