5.7 Sleep habits of New Yorkers: New York is known as "the city that never sleeps". A random sample of 25 New Yorkers w
Posted: Sun Jul 10, 2022 10:09 am
5.7 Sleep habits of New Yorkers: NewYork is known as "the city that never sleeps". A random sample of25 New Yorkers were asked how much sleep they get per night.Statistical summaries of these data are shown below. Do these dataprovide strong evidence that New Yorkers sleep less than 8 hours anight on average?
(a) Write the hypotheses in symbols.
(b) Calculate the test statistic, T, and the degrees offreedom.T = (please round to two decimal places)There are degrees of freedom associated with thistest.(c) Find and interpret the p-value in this context. Drawing apicture may be helpful.p = (please round to four decimal places)(d) What is the conclusion of the hypothesis test?
(e) If you were to construct a 90% confidence interval thatcorresponded to this hypothesis test, would you expect 8 hours tobe in the interval?
(a) Write the hypotheses in symbols.
(b) Calculate the test statistic, T, and the degrees offreedom.T = (please round to two decimal places)There are degrees of freedom associated with thistest.(c) Find and interpret the p-value in this context. Drawing apicture may be helpful.p = (please round to four decimal places)(d) What is the conclusion of the hypothesis test?
(e) If you were to construct a 90% confidence interval thatcorresponded to this hypothesis test, would you expect 8 hours tobe in the interval?