Question

Faced with rising fax costs, a firm issued a guideline that transmissions of 8 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 8 or below. The firm examined 39 randomly chosen fax transmissions during the next year, yielding a sample mean of 8.81 with a standard deviation of 2.51 pages. (a-1) Find the test statistic. (Round your answer to 4 decimal places.) The test statistic (a-2) At the .01 level of significance, is the true mean greater than 8? Yes O No (b) Use Excel to find the right-tail p-value. (Round your answer to 4 decimal places.) p-value

Answer 1

a1)

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (8.81 - 8)/(2.51/sqrt(39))
t = 2.0153

a2)

No

a3)

=1-T.DIST(2.0153,38,TRUE)

p value = 0.0255