A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the
mean number of hours of sleep college seniors get per night. to investigate, he selects a random sample of 50
high school seniors from all high schools in his county. he also selects a random sample of 50 seniors from the
colleges in his county. he constructs a 95% confidence interval for the true mean difference in the number of hours
of sleep for seniors in high school and seniors in college. the resulting interval is (0.57, 1.25). based upon the
interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night
differs from the mean number of hours of sleen college seniors net ner night?

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Tutorconsortium311 Tutorconsortium311 · Answer 1 · 2022-07-27T11:54:15+02:00

In light of the provided confidence interval, the following is the best answer on the outcome of the hypothesis test:

Yes, because 0 is not in the confidence interval.

At the null hypotheses, it is tested if the difference is equals to zero, that is:

[tex]$H_{0}: \mu=0$[/tex]

[tex]$H_{1}: \mu \neq 0$[/tex]

The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0.

yes, because 0 is not in the confidence interval

Learn More about confidence intervals here:

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