A manager of a pizza restaurant has changed the​ restaurant's delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.5 minutes and a sample standard deviation of 6 minutes. 1. Using the​ p-value approach, at the 0.05 level of​ significance, is there evidence that the population means delivery time has been reduced below the previous population means value of 25 minutes? p-value=___ 2. Interpret the meaning of the​ p-value in this problem. Choose the correct answer below.   A. The​ p-value is the probability of selecting a sample of deliveries that has a mean delivery time of 25 minutes or​ more, given that the population means delivery time is 22.5 minutes.   B. The​ p-value is the probability of selecting a sample of deliveries that has a mean delivery time of 22.5 minutes or​ less, given that the population means delivery time is 25 minutes.

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A manager of a pizza restaurant has changed the​ restaurant's delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.5 minutes and a sample standard deviation of 6 minutes.

1. Using the​ p-value approach, at the 0.05 level of​ significance, is there evidence that the population means delivery time has been reduced below the previous population means value of 25 minutes?

p-value=___

2. Interpret the meaning of the​ p-value in this problem. Choose the correct answer below.

 
A. The​ p-value is the probability of selecting a sample of deliveries that has a mean delivery time of 25 minutes or​ more, given that the population means delivery time is 22.5 minutes.
 
B. The​ p-value is the probability of selecting a sample of deliveries that has a mean delivery time of 22.5 minutes or​ less, given that the population means delivery time is 25 minutes.
 
C. The​ p-value is the probability of selecting a sample of deliveries that has a mean delivery time of 22.5 minutes or​ more, given that the population means delivery time is 25 minutes.
 
D. The​ p-value is the probability of selecting a sample of deliveries that has a mean delivery time of 25 minutes or​ less, given that the population means delivery time is 22.5 minutes.
 
3. Since the​ p-value is ___A___ than α, __B__ the null hypothesis and conclude that there is __C__ evidence that the population means the delivery time has been reduced below the previous population means the value of 25 minutes.
 
A: less or greater
B: reject or do not reject
C: sufficient or insufficient 
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