56 A coin was flipped 60 times and came up heads 38 times.

(a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. 

(b) Calculate a p-value and

interpret it 

9.62 The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = .025? (See story.news.yahoo.com accessed

June 25, 2004.)

9.64 An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. 

(a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? 

State your hypotheses and decision rule. 

(b) Is this a close decision?