Question

faced with the 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 25 randomly chosen fax transmissions during the next year, yielding a sample mean of 12.11 with a standard deviation of 4.74 pages. Find the test statistic (Round 4 decimal places) and find the right tail p-value (round 4 decimals)

Answer 1

Solution :

= 10

=12.11

S =4.74

n = 25

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :    = 10

H_a : < 10

Test statistic = t

= ( - ) / S / n

= (12.11-10) / 4.74 / 25

= 2.226

Test statistic = t = 2.226

P-value =0.9822