#### poisonroxs

##### New member

- Joined
- Apr 12, 2008

- Messages
- 12

Here is the question: Faced with rising fax costs, a firm issued a guideleine that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the verage 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.

The hypothesis test is

Ho: µ < or equal to 10 vs. H1: µ > 10

The test statistic

z= (14.44-10)/(4.45/? (35))

z=5.902785

The p value= P(Z > z)

p= (Z > 5.902785)

=1.787077e-09

P value is less than significant level, the null hypothesis is rejected and we conclude the alternate hypothesis µ > 10 is true.