Question

Pottery Barn is a United States-based upscale home furnishing store chain with retail stores in the United States, Canada, Mexico, Puerto Rico, the Philippines and Australia. Pottery Barn is a wholly owned subsidiary of Williams-Sonoma, Inc. The company is headquartered in San Francisco, California. Pottery Barn advertises that it fulfills customers’ orders in less than two business days. Periodically, the operations manager selects a random sample of customer orders and determines the number of business days required to fill the orders. On one occasion when a sample of 36 orders was selected, the average number of business days was 2.08. Based on extensive data from similar companies, the population standard deviation is known to be equal to 0.75 days. Using α = .04, does it appear that the standard of filling customers’ orders in less than two business days is being met? Do a complete and appropriate hypothesis test.

Step 1 (Hypotheses)

H₀:  (Click to select)πx-barnμspσ  (Click to select)=≠≤>≥<  

H_A:  (Click to select)μx-barπpσsn  (Click to select)=≠≤>≥<  

Step 2 (Decision rule)

Using only the appropriate statistical table in your textbook, the critical value for rejecting H₀ is (Click to select)+-± . (report your answer to 2 decimal places, using conventional rounding rules)

Step 3 (Test statistic)

Using the sample data, the calculated value of the test statistic is (Click to select)+-± . (report your answer to 2 decimal places, using conventional rounding rules)

Step 4 (Evaluate the null hypothesis)

Should the null hypothesis be rejected?  (Click to select)yesno

Step 5 (Practical conclusion)

Should Pottery Barn conclude that the standard of filling customers’ orders in less than two calendar days is being met? (Click to select)yesno

Using only the appropriate statistical table in your textbook, what is the p-value of this hypothesis test?  

Answer:  (Report your answer to 4 decimal places, using conventional rounding rules)

Answer 1

Step 5: No. P-value 0.7389