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, H, is not equal to 92. In a sample of 68 customers chosen at random, the mean customer rating is 94.3. 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: H₁:0 H D (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. D D As

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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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, μ, is not equal to 92. In a sample of 68 customers chosen at random, the mean customer rating is 94.3. 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:
H₁:0
esc
0
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
OTwo-tailed
Explanation
@
20.025 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 z=
Check
F2
(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.
#
50 F3
000
ODD F4
$
μ
%
O<O
F5
ロマロ
Xx
X
OSO >
O=O ☐☐
F6
$
x-μ
0
Vn
44
&
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility
F7
*
FB
▶
O
F9
F10
F11
+
F12
F
D
0
dele
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, μ, is not equal to 92. In a sample of 68 customers chosen at random, the mean customer rating is 94.3. 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: H₁:0 esc 0 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Explanation @ 20.025 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 z= Check F2 (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. # 50 F3 000 ODD F4 $ μ % O<O F5 ロマロ Xx X OSO > O=O ☐☐ F6 $ x-μ 0 Vn 44 & Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility F7 * FB ▶ O F9 F10 F11 + F12 F D 0 dele
(b)
test.
na 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
• 20,025
The test statistic has a normal distribution and the value is given by z=
is the value that cuts off an area of 0.025 in the right tail.
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.)
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
Explanation
x-μ
O
√n
Check
04
0.3+
0.2+
0.1-
(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
X
MacBook Air
Español
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
?
LE)
امه
Transcribed Image Text:(b) test. na 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 • 20,025 The test statistic has a normal distribution and the value is given by z= is the value that cuts off an area of 0.025 in the right tail. 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.) Step 3: Enter the test statistic. (Round to 3 decimal places.) Explanation x-μ O √n Check 04 0.3+ 0.2+ 0.1- (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 X MacBook Air Español Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility ? LE) امه
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