product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket ba ctors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respon satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. Supermarket 1 n₁ = 280 x₁ = 83 Supermarket 2 n₂ = 300 x₂ = 82 ulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let #₁ = the population mean satisfaction ermarket 1's customers, and let #₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.) sume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. culate the test statistic. (Use #₂ - #₂ Round your answer to two decimal places.) x ter a number. port the p-value. (Round your answer to four decimal places.) value= a 0.05 level of significance what is your conclusion? Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Which retailer, if either, appears to have the greater customer satisfaction? home end.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a
variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is
completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below.
64°F
Cloudy
Ho:
Supermarket 1
H₂
2
1
= 280
X1
(a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let μ₁
Supermarket 1's customers, and let
H4₂
the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.)
= 83
f2
Supermarket 2
72 = 300
*****
= 82
X₂²
(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test.
Calculate the test statistic. (Use µ₁ - H2. Round your answer to two decimal places.)
Enter a number.
Report the p-value. (Round your answer to four decimal places.)
p-value =
f3
=
At a 0.05 level of significance what is your conclusion?
O Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
(c) Which retailer, if either, appears to have the greater customer satisfaction?
*****
-
f5
f6
♫-
f7
♫+
fg
IAA
f9
#
DII
hp
f10
DDI
f11
f12
W
insert
-
prt sc
the population mean satisfaction score for
delete
home
end
2:45 PM
10/9/2022
pg up
Transcribed Image Text:esc A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. 64°F Cloudy Ho: Supermarket 1 H₂ 2 1 = 280 X1 (a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let μ₁ Supermarket 1's customers, and let H4₂ the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.) = 83 f2 Supermarket 2 72 = 300 ***** = 82 X₂² (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use µ₁ - H2. Round your answer to two decimal places.) Enter a number. Report the p-value. (Round your answer to four decimal places.) p-value = f3 = At a 0.05 level of significance what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Which retailer, if either, appears to have the greater customer satisfaction? ***** - f5 f6 ♫- f7 ♫+ fg IAA f9 # DII hp f10 DDI f11 f12 W insert - prt sc the population mean satisfaction score for delete home end 2:45 PM 10/9/2022 pg up
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Step 1

Given that 

Sample size n1=280 , n2=300

Sample means x1=83 , x2=82

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