Question 127725: Please help me. This question is taken from the Stats and Econ Question # 9.54 I checked the answers and this one is not answered.
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.
Thank you for your kind assistance.
Answer by stanbon(75887)   (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
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one-tail t-test with alpha=1%; critical value for 34 df = 2.326
Test statistic:
t(14.44) = (14.44-10)/[4.45/sqrt(35)] = 5.9028
Reject Ho; there is significal statistical evidence that the true mean
is not <= 10
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(b) Use Excel to find the right-tail p-value.
p-value = 0.00000057579
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Cheers,
Stan H.
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