Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H, for the given level of significance c Two-tailed test with test statistic z = - 1.85 and a = 0.03 P-value = (Round to four decimal places as needed.)

A manager states that in his warehouse, the average number of days per year missed by the employees due to illness is less than the national average of twelve. The manager took a sample of 60 employees and found that the mean number of days missed due to illness was 10.1 days. If 0 = 4. 28 and a = 0. 01, determine if there is sufficient evidence to believe the manager's statement Please show all work in performing your hypothesis test below. Be sure to include null and alternative hypotheses, critical value, tes value and your conclusion.

New York is known as “the city that never sleeps.” A random sample of 25 New Yorkers were asked howmuch sleep they get per night. Out of this sample, the man number of hours of sleep was 7.73 hours, with astandard deviation of 0.77 hours.Perform a hypothesis test at the α = 0.05 significance level to determine if this provides sufficient evidencethat the average New Yorkers sleeps less than 8 hours per night. b) State the null and alternative hypotheses symbolically.c) Which test procedure (z- or t-) is appropriate to perform the required hypothesis test? What do weneed to know in order to use this test?d) Compute the value of the test statistic.e) Determine the P-value. Please round your P-value to three decimal places.f) Should you reject the null hypotheses or not?

Both students with the rural and urban background in a college music appreciation course are given an aptitude test on the first day of class. Make any necessary assumptions and construct a 99% confidence interval for the difference in music attitude if the summary of the experiment is as follows:  type      sample size             average apitude score             standard deviation Rural              9                                  71.4                                            4.1     Urban              14                                   86.2                                         3.8   A. (-18.41, -11.19) B. ( -19.54, -10.06) C. ( -18.28, -11.32) D. (-19.19, -10.41)