A pizza shop claims its average home delivery time is 28 minutes. A sample of

40 deliveries had a sample average of 30.3 minutes. Assume the population standard deviation for the shop's deliveries is 6.3 minutes. Complete parts a and b below.

a. Is there support for the shop's claim using the criteria that the sample average of

30.3minutes falls within the symmetrical interval that includes 95% of the sample means if the true population mean is 28 minutes? Select the correct choice below and fill in the answer box within your choice.

(Type an integer or decimal rounded to four decimal places as needed.)

A.

The probability

Px30.3=enter your response here.

This indicates that the sample average of

30.3

minutes falls outside the 95% symmetrical interval, contradicting the shop's claim.

B.

The probability

Px30.3=enter your response here.

This indicates that the sample average of

30.3

minutes falls within the 95% symmetrical interval, supporting the shop's claim.