Question 304234: Can you help me solve this?
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(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: u = 10
Ha: u > 10
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t(14.44) = (14.44-10)/[4.45/sqrt(35)] = 5.9028
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b) find the right-tail p-value.
p-value = P(t > 5.9028 when df=34) = 0.000000576
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Since the p-value is less than 1%, reject Ho.
The test results do not support concluding that
u = 10
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Cheers,
Stan H.
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