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# Question According to a research study, college athletes slept8 hours each night last year, on average.

Question

According to a research study, college athletes slept 8

hours each night last year, on average. A random sample of 20

college athletes was surveyed and the mean amount of time per night each athlete slept was 8.4

. This data has a sample standard deviation of 0.9

. (Assume that the scores are normally distributed.)

Researchers conduct a one-mean hypothesis test at the 1%

significance level, to test if the mean amount of time college athletes sleep per night is greater than the mean amount of time last year.

(a) H

0

:μ=8

; H

a

:μ>8

, which is a right-tailed test.

(b) Determine the test statistic, rounded to two decimal places.

Provide your answer below: