People in a random sample of 235 students enrolled at a liberal arts college were asked...

People in a random sample of 235 students enrolled at a liberal arts college were asked questions about how many hours of sleep they get each night. The sample mean sleep duration (average hours of daily sleep) was 7.72 hours and the sample standard deviation was 1.04 hours. The recommended number of hours of sleep for college-age students is 8.4 hours. Is there convincing evidence that the population mean sleep duration for students at this college is less than the recommended number of 8.4 hours? Test the relevant hypotheses using

α = 0.01.

(Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.)

t=

P-value=

State the conclusion in the problem context.

a. Fail to reject H₀. We do not have convincing evidence that the mean sleep duration for students at this college is less than the recommended number of 8.4 hours

b. Fail to reject H₀. We have convincing evidence that the mean sleep duration for students at this college is less than the recommended number of 8.4 hours

c. Reject H₀. We have convincing evidence that the mean sleep duration for students at this college is less than the recommended number of 8.4 hours

d. Reject H₀. We do not have convincing evidence that the mean sleep duration for students at this college is less than the recommended number of 8.4 hours

Expert Solution

orchestra answered 2 years ago

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