5.7 Sleep habits of New Yorkers: New York is known as the city that never sleeps....

     

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5.7 Sleep habits of New Yorkers: New York is known as "the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. Do these data provide strong evidence that New Yorkers sleep less than 8 hours a night on average? n s min max 25 7.73 0.77 6.17 9.78 (a) Write the hypotheses in symbols. Ho: μ-8 Ha: <8 ⒸHo: µ-8 Ha: >8 Ho: µ-8 Ha: 8 (b) Calculate the test statistic, T, and the degrees of freedom. TH (please round to two decimal places) There are ( associated with this test. degrees of freedom (c) Find and interpret the p-value in this context. Drawing a picture may be helpful. Op>0.100 ○0.050<p<0.100 0.010<p<0.025 0.025<p<0.050 (d) What is the conclusion of the hypothesis test? Since p2 a we reject the null hypothesis and accept the alternative Since pa we fail to reject the null hypothesis Since p<a we reject the null hypothesis and accept the alternative OSince p 2 a we do not have enough evidence to reject the null hypothesis Since p2 a we accept the null hypothesis 5.7 Sleep habits of New Yorkers: New York is known as "the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. Do these data provide strong evidence that New Yorkers sleep less than 8 hours a night on average? n s min max 25 7.73 0.77 6.17 9.78 (a) Write the hypotheses in symbols. Ho: μ-8 Ha: <8 ⒸHo: µ-8 Ha: >8 Ho: µ-8 Ha: 8 (b) Calculate the test statistic, T, and the degrees of freedom. TH (please round to two decimal places) There are ( associated with this test. degrees of freedom (c) Find and interpret the p-value in this context. Drawing a picture may be helpful. Op>0.100 ○0.050<p<0.100 0.010<p<0.025 0.025<p<0.050 (d) What is the conclusion of the hypothesis test? Since p2 a we reject the null hypothesis and accept the alternative Since pa we fail to reject the null hypothesis Since p<a we reject the null hypothesis and accept the alternative OSince p 2 a we do not have enough evidence to reject the null hypothesis Since p2 a we accept the null hypothesis

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given N 25 7735077 min 617 max 978 as Null and Alter... View the full answer