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Statistics tests of means and proportions

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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 0.01 level of significance, is the true mean greater than 10?
b) Use excel to find the right-tail p-value

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