A pizza shop claims its average home delivery time is 22 minutes. A sample of 40 deliveries had a sample average of 23.7 minutes. Assume the population standard deviation for the shop's deliveries is 5.2 minutes. Complete parts a and b below. a. Is there support for the shop's claim that the population mean is 22 minutes, using the 5% rule? 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) O A. The probability P (x2 23.7) =| This indicates that the probability of a sample average of 23.7 minutes is less than 5%, contradicting the shop's claim. O B. The probability P (x 2 23.7) = . This indicates that the probability of a sample average of 23.7 minutes is greater than 5%, supporting the shop's claim.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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A pizza shop claims its average home delivery time is 22 minutes. A sample of 40 deliveries had a sample average of 23.7 minutes. Assume the population standard
deviation for the shop's deliveries is 5.2 minutes. Complete parts a and b below.
a. Is there support for the shop's claim that the population mean is 22 minutes, using the 5% rule? 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.)
O A. The probability P (x2 23.7) =. This indicates that the probability of a sample average of 23.7 minutes is less than 5%, contradicting the shop's claim.
O B. The probability P (x2 23.7) = This indicates that the probability of a sample average of 23.7 minutes is greater than 5%, supporting the shop's claim.
Transcribed Image Text:A pizza shop claims its average home delivery time is 22 minutes. A sample of 40 deliveries had a sample average of 23.7 minutes. Assume the population standard deviation for the shop's deliveries is 5.2 minutes. Complete parts a and b below. a. Is there support for the shop's claim that the population mean is 22 minutes, using the 5% rule? 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.) O A. The probability P (x2 23.7) =. This indicates that the probability of a sample average of 23.7 minutes is less than 5%, contradicting the shop's claim. O B. The probability P (x2 23.7) = This indicates that the probability of a sample average of 23.7 minutes is greater than 5%, supporting the shop's claim.
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