According to a recent survey, Americans get a mean of 7 hours of sleep per night. A random sample of 50 students at West Virginia University revealed the mean length of time slept last night was 6 hours and 48 minutes (6.8 hours). The standard deviation of the sample was 0.9 hour. At the 5% level of significance, is it reasonable to conclude that students at West Virginia sleep less than the typical American?

a.State the null hypothesis and the alternate hypothesis.

b.State the decision rule for 5% significance level.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

c.Compute the value of the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

d.Is it reasonable to conclude that students at West Virginia sleep less than the typical American?

e.Compute thep-value.

Thank you!!!