Question 233489: 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. (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.
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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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Sample mean = 14.44 ; sample standard dev = 4.45
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I ran a Ttest and got the following:
test statistic: t = 5.7582..
p-value = P(t > 5.9028.. with df=34) = 0.0000005758
(b) Use Excel to find the right-tail p-value.
I used a TI calculator to get the p-value.
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Conclusion:
Since the p-value is less than 1%, reject Ho.
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Cheers,
Stan H.
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