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Explanation of z-test/t-test and calc. of right-tail p-value

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Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Find the right-tail p-value.

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.

The Web-based company Oh Baby! Gifts have 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?

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?

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This solution explains the Z-test of Hypothesis for the Proportion and t-test for Hypothesis of the Mean. Step by step detailed solutions are provided for the calculation of right-tail p-value/p- value.

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Explanation of z-test, t-test and calculation of right-tail p-value

9.54 Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. At the .01 level of significance, you would like to test if the true mean greater than 10. Calculate the value of the appropriate test statistic.

9.56 A coin was flipped 60 times and came up heads 38 times. At the .10 level of significance, you want to examine if the coin biased toward heads. Calculate the value of the appropriate test statistic.

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 alpha= .025? Calculate the value of the appropriate test statistic.

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. You want to examine, at the 5 percent level of significance, if this sample demonstrate a violation of the guideline that the average patient should pay no more than $250 out-of-pocket. Calculate the value of the appropriate test statistic.

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