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A chain of restaurants advertises that the mean wait time, , for a customer is at most 9 minutes. To test the restaurant chain's claim, a consumer advocate takes a random sample of 44 customers. The mean wait time for the sample is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 4.1 minutes. Is there enough evidence to reject the claim that the mean wait time is at most 9 minutes? Perform a hypothesis test, using the o.0s level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,.

A chain of restaurants advertises that the mean wait time, , for a customer is at most 9 minutes. To test the restaurant chain's claim, a consumer advocate takes a random sample of 44 customers. The mean wait time for the sample is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 4.1 minutes. Is there enough evidence to reject the claim that the mean wait time is at most 9 minutes? Perform a hypothesis test, using the o.0s level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A chain of restaurants advertises that the mean wait time, µ, for a customer is at most 9 minutes. To test the restaurant chain's claim, a consumer advocate takes a random sample of 44 customers. The mean wait time for the sample is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 4.1 minutes. Is there enough evidence to reject the claim that the mean wait time is at most 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. O<O Oso O20 D=0 D=0 H1: 0 (b) Perform a z-test and find the p-value. Here is some information to help you with your z-test. • The value of the test statistic is given by . • The p-value is the area under the curve to the right of the value of the test statistic. Normal Distribution Step 1: Select ene-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value, Step 4: Enter the p-value. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.0s level of significance, about the claim made by the chain of restaurants. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean wait time is 9 minutes or less. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean wait time is 9 minutes or less. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean wait time is 9 minutes or less. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that minutor or loco tho m unit timo i
Transcribed Image Text:A chain of restaurants advertises that the mean wait time, µ, for a customer is at most 9 minutes. To test the restaurant chain's claim, a consumer advocate takes a random sample of 44 customers. The mean wait time for the sample is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 4.1 minutes. Is there enough evidence to reject the claim that the mean wait time is at most 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. O<O Oso O20 D=0 D=0 H1: 0 (b) Perform a z-test and find the p-value. Here is some information to help you with your z-test. • The value of the test statistic is given by . • The p-value is the area under the curve to the right of the value of the test statistic. Normal Distribution Step 1: Select ene-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value, Step 4: Enter the p-value. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.0s level of significance, about the claim made by the chain of restaurants. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean wait time is 9 minutes or less. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean wait time is 9 minutes or less. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean wait time is 9 minutes or less. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that minutor or loco tho m unit timo i
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