Question

You are the manager of a restaurant for a​ fast-food franchise. Last​ month, the mean waiting time at the​ drive-through window for branches in your geographical​ region, as measured from the time a customer places an order until the time the customer receives the​ order, was

3.7 minutes. You select a random sample of 64 orders. The sample mean waiting time is 3.41 ​minutes, with a sample standard deviation of 0.8 minute.

Find the​ p-value.

p-value= ( )

​(Round to THREE decimal places as​ needed.)

Answer 1

Solution :

= 3.7

= 3.41

s = 0.8

n = 64

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 3.7

H_a : 3.7

Test statistic = t

= ( - ) / s / n

= (3.7- 3.41) / 0.8 / 64

= − 2.90

Test statistic t value = − 2.90

P-value = 0.005