Over the years, the mean customer satisfaction rating at a local restaurant has been 92. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 92. In a sample of 68 customers chosen at random, the mean customer rating is 87.4. Assume that the population standard deviation of customer ratings is 14.3. Is there enough evidence to support the claim that the mean customer rating is different from 92? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: 0 μ Xx 0<0 Oz0 ローロロメロ x (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 0.025 is the value that cuts off an area of 0.025 in the right tail. The test statistic has a normal distribution and the value is given by == Standard Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.3 0.2 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the management. Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal 92. Since the value of the test-statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean customer rating is not equal 92. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal 92. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean customer rating is not equal 92. X Submit Assignment 2024 McGraw Hill LLC. All Rights Reserved Terms of Use | Privacy Center Accessibility

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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Over the years, the mean customer satisfaction rating at a local restaurant has been 92. The restaurant was recently
remodeled, and now the management claims the mean customer rating, u, is not equal to 92. In a sample of 68 customers
chosen at random, the mean customer rating is 87.4. Assume that the population standard deviation of customer ratings is
14.3.
Is there enough evidence to support the claim that the mean customer rating is different from 92? Perform a hypothesis test,
using the 0.05 level of significance.
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho: 0
μ
Xx
0<0
Oz0
ローロロメロ
x
(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other
information to help you with your test.
0.025 is the value that cuts off an area of 0.025 in the right tail.
The test statistic has a normal distribution and the value is given by ==
Standard Normal
Distribution
Step 1: Select one-tailed
or two-tailed.
o One-tailed
O Two-tailed
Step 2: Enter the critical
value(s).
(Round to 3 decimal
places.)
0.3
0.2
(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim
made by the management.
Since the value of the test statistic lies in the rejection region, the null hypothesis is
rejected. So, there is enough evidence to support the claim that the mean customer rating
is not equal 92.
Since the value of the test-statistic lies in the rejection region, the null hypothesis is not
rejected. So, there is not enough evidence to support the claim that the mean customer
rating is not equal 92.
Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is
rejected. So, there is enough evidence to support the claim that the mean customer rating
is not equal 92.
Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is
not rejected. So, there is not enough evidence to support the claim that the mean customer
rating is not equal 92.
X
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Transcribed Image Text:Over the years, the mean customer satisfaction rating at a local restaurant has been 92. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 92. In a sample of 68 customers chosen at random, the mean customer rating is 87.4. Assume that the population standard deviation of customer ratings is 14.3. Is there enough evidence to support the claim that the mean customer rating is different from 92? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: 0 μ Xx 0<0 Oz0 ローロロメロ x (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 0.025 is the value that cuts off an area of 0.025 in the right tail. The test statistic has a normal distribution and the value is given by == Standard Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.3 0.2 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the management. Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal 92. Since the value of the test-statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean customer rating is not equal 92. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal 92. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean customer rating is not equal 92. X Submit Assignment 2024 McGraw Hill LLC. All Rights Reserved Terms of Use | Privacy Center Accessibility
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