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 x 5 min max 25 7.73 0.77 6.17 9.78 [a] Write the hypotheses in symbols. Hozp=8 Ha:p>8 Hozp=8 Ha:p:8 Hozp=8 Ha:p 50 Ho: [1:50 Ha: u :50 \\/ To execute this hypothesis test we should use a: T-Test Z-test \\/ because: ' G is known, but the sample size is less than 30 ' a is known and the population is normal G is unknown and the sample size is less than 30 ~/ There are 13 J degrees of freedom for this test. The test statistic is: (please round to two decimal places) The p-value for this hypothesis test is: 0.0337!r J (please round to four decimal places) The conclusion for the hypothesis test is: Since p I-lmanual HO: \"automatic = \"manual. Ha: \"automatic '5 I-lmanual HO: \"automatic = \"manual. Ha: \"automatic \"distraction s/ The test statistic for the hypothesis test is: i 2.24 J (please round to two decimal places) The p-value for the hypothesis test is: [0.0315 j {please round to four decimal places) Interpret the result of the hypothesis test in the context of the study: we have enough evidence to reject the idea that the average biscuit consumption in the two groups was the same, and accept the alternative that distracted eaters will eat a different amount than non- distracted eaters, on average. A