For question 1 and 2. Use the 5 step method and discuss type 1 and type 2 error. 1. An article on CNN.com reports that Americans are increasingly skim ping on their sleep. A researcher wants to determine if Americans are sleeping less than the recom mended 7 hours a night. He takes a random sample of 150 Americans and computes the average sleep time of 6.7 hours a night. The standard deviation is known to be 2.1 hours. The level of significance is .01. 2. A local bottler, Fossil Cove, wants to ensure that an average of 16 ounces of beer is used to fill each bottle . Ben takes a random sample of 48 bottles and finds the average weight to be 15.8 ounces . Historically, the standard deviation has been 0.8 ounces. Alpha is .05. 3. Open the Undergrad Debt data in the Excel file. Nationally, on average, a college student last year graduated with $27,200 in debt with a historical standard deviation of $5,000. The file gives sample date from Arkansas. Does Arkansas students have higher debt than the national average at alpha equal to .10? a. Write the hypothesis. b. Using Excel, what is the p-value? Also, specify the Excel function. c. Based on the p-value. what is the conclusion