Question
According to a research study, college athletes slept 8.4 hours each night last year, on average. A random sample of 21 college athletes was surveyed and the mean amount of time per night each athlete slept was 7.9. This data has a sample standard deviation of 1.1. (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 less than the mean amount of time last year.
(a) Which answer choice shows the correct null and alternative hypotheses for this test?
Select the correct answer below:
$$H_0: \mu \ge 7.9; H_a: \mu < 7.9$$, which is a left-tailed test.
$$H_0: \mu \ge 8.4; H_a: \mu < 8.4$$, which is a left-tailed test.
$$H_0: \mu \le 8.4; H_a: \mu > 8.4$$, which is a right-tailed test.
$$H_0: \mu \le 7.9; H_a: \mu > 7.9$$, which is a right-tailed test.
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