2. You are a nurse working for a steep clinic, and you are interested in whether clients attending the clinic are receiving the recommended amount of sleep (7-9 hours each night). You know from previous studies that sleep is approximately normally distributed. You select a random sample of 12 clients that recently enrolled in your gmjg,jgg found that they reported the average hours of sleep per night shown below. Use these data to answer the questions below. 244369771078] 1; a. Test the claim that the mean amount of sleep for adults at the clinic is less than 7 hours. Assume a 0.05 level of significance and show all 5 steps of the hypothesis test. [5 Marks] b. What is the pvalue for the test you conducted in question a? Explain how you obtained the pvalue, and how it supports the conclusion you reached in question a. [2 Marks] c. Calculation the 95% condence interval .fQFIhEmRHFLQISIEEP that adults on average obtain each night. [1 Mark]