Discuss the below:
Faced with rising FAX costs, a firm issued a guideline that transmissions of 10 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.
Claim: True mean greater than 10.
The level of significance of the test a =0.01
(a) State the null and alternative hypothesis symbolically.
(b) The value of the test statistic is found to be t=.5.90 At a=0.01, can it be concluded that the true mean is greater than 10 pages? Why or why not? Explain