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 and we may assume that sleep times of New Yorkers are roughly normally distributed. Do these data provide strong evidence that New Yorkers sleep less than 8 hours a night on average? n = 25 x = 7.65 s = 0.76 a) which of the following are the appropriate null and alternative hypotheses? O HO: M = 8.00; Ha: ,u > 8.00 O HO: y = 7.65; Ha: y 7.65 OH :u=8.00;Ha:u8.00 b) Calculate the appropriate tstatistic and associated degrees of freedom. Give the value of t to 3 decimal places. 1' = df = c) Find the P-value to four decimal places. p: d) Which of the following is a reasonable conclusion from your test at level of significance a=0.05? Q We can conclude that y = 7.65, that is, the average sleep time of New Yorkers is 7.55 hours. 0 We can conclude that 7.65