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A chain of restaurants has historically had a mean wait time of 7 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 40 customers. The mean wait time for the sample is 7.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 7 minutes? Use the traditional method and significance level of 0.10 to perform a hypothesis test. a) State Hō and H₁, then identify the claim o) Find the test statistic and the critical value c)Determine if we reject or fail to reject Ho. Show your solution and use the appropriate method based on part b d)Write your conclusion

A chain of restaurants has historically had a mean wait time of 7 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 40 customers. The mean wait time for the sample is 7.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 7 minutes? Use the traditional method and significance level of 0.10 to perform a hypothesis test. a) State Hō and H₁, then identify the claim o) Find the test statistic and the critical value c)Determine if we reject or fail to reject Ho. Show your solution and use the appropriate method based on part b d)Write your conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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16. A chain of restaurants has historically had a mean wait time of 7 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 40 customers. The mean wait time for the sample is 7.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 7 minutes? Use the traditional method and significance level of 0.10 to perform a hypothesis test. a) State Ho and H₁, then identify the claim b) Find the test statistic and the critical value c)Determine if we reject or fail to reject Ho. Show your solution and use the appropriate method based on part b d)Write your conclusion
Transcribed Image Text:16. A chain of restaurants has historically had a mean wait time of 7 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 40 customers. The mean wait time for the sample is 7.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 7 minutes? Use the traditional method and significance level of 0.10 to perform a hypothesis test. a) State Ho and H₁, then identify the claim b) Find the test statistic and the critical value c)Determine if we reject or fail to reject Ho. Show your solution and use the appropriate method based on part b d)Write your conclusion
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