# SOLUTION: 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

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 Click here to see ALL problems on Probability-and-statistics Question 285646: 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) use excel to find the right-tail p-value.Answer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!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? Ho: mu = 10 Ha: mu > 10 --------------- Critical value for one-tail test with alpha=1% and df=34 is 2.3263 Test statistic: t(14.44) = (14.44-10)/[4.45/(sqrt35)] = 5.9028 Conclusion: Since test stat is greater than critical value, reject Ho. The test provides statistical evidence that mu > 10 -------------------------------------------------- (b) Use Excel to find the right-tail p-value. p-value = P(5.9028 < t < 10) = 0.00000057579... Since the p-value is so much smaller than 1% this is very stong evidence for rejecting Ho and supporting Ha. ========================= Cheers, Stan H.