Consumer Reports uses a 100-point customer satisfaction score to rate the nation's major chain stores. Assume that from past experience with the satisfaction rating score, a population standard deviation of a = 12 is expected. Costco with its 432 warehouses in 40 states was the only chain store to earn an outstanding rating for overall quality. A sample of 15 Costco customer satisfaction scores is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Open spreadsheet a. What is the sample mean customer satisfaction score for Costco (to 2 decimals)? b. What is the sample variance (to 2 decimals)? c. What is the sample standard deviation (to 2 decimals)? d. Construct a hypothesis test to determine whether the population standard deviation of a = 12 should be rejected for Costco. State the null and alternative hypotheses. Ho: o² = 144 H₂:0² Ⓒ144 Calculate the value of the test statistic (to 2 decimals). p-value is With a .05 level of significance, what is your conclusion?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Consumer Reports uses a 100-point customer satisfaction score to rate the nation's major chain stores. Assume that from past experience with the satisfaction rating score, a
population standard deviation of o = 12 is expected. Costco with its 432 warehouses in 40 states was the only chain store to earn an outstanding rating for overall quality. A sample of
15 Costco customer satisfaction scores is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
X
Open spreadsheet
a. What is the sample mean customer satisfaction score for Costco (to 2 decimals)?
b. What is the sample variance (to 2 decimals)?
c. What is the sample standard deviation (to 2 decimals)?
d. Construct a hypothesis test to determine whether the population standard deviation of a = 12 should be rejected for Costco.
State the null and alternative hypotheses.
Ho: 0²
H₂ : 0²
Calculate the value of the test statistic (to 2 decimals).
= 144
144
p-value is
With a .05 level of significance, what is your conclusion?
(
Transcribed Image Text:Consumer Reports uses a 100-point customer satisfaction score to rate the nation's major chain stores. Assume that from past experience with the satisfaction rating score, a population standard deviation of o = 12 is expected. Costco with its 432 warehouses in 40 states was the only chain store to earn an outstanding rating for overall quality. A sample of 15 Costco customer satisfaction scores is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. X Open spreadsheet a. What is the sample mean customer satisfaction score for Costco (to 2 decimals)? b. What is the sample variance (to 2 decimals)? c. What is the sample standard deviation (to 2 decimals)? d. Construct a hypothesis test to determine whether the population standard deviation of a = 12 should be rejected for Costco. State the null and alternative hypotheses. Ho: 0² H₂ : 0² Calculate the value of the test statistic (to 2 decimals). = 144 144 p-value is With a .05 level of significance, what is your conclusion? (
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Home
A
Satisfaction
Score
95
90
83
76
95
98
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97
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64
Insert
B
Arial
fx
Draw
Part a
Mean
Part b
Variance
Page Layout
✓ 10
Part c
Standard Deviation
Part d
Degrees of Freedom
с
Hypothesized Standard Deviation
Chi Square Test Statistics
Lower-Tail p-value
Upper-Tail p-value
Two-Tail p-value
Significance Level (alpha)
Data +
Calculation Mode: Automatic Workbook Statistics
B
Formulas
Can the hypothesis that the population
standard deviation is 12 be rejected? (Enter
"Can be rejected" or "Cannot be rejected")
4.
Data
D
Review
12
0.05
View
E
ab
Formula
Help
Number
F
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
←0
.00
.00
→.0
G
H
Ev
J
Editing
27
K
Give Feedback to Microsoft
L
Comments
M
100% +
Transcribed Image Text:D2 File 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 วา Home A Satisfaction Score 95 90 83 76 95 98 80 80 80 92 88 80 97 67 64 Insert B Arial fx Draw Part a Mean Part b Variance Page Layout ✓ 10 Part c Standard Deviation Part d Degrees of Freedom с Hypothesized Standard Deviation Chi Square Test Statistics Lower-Tail p-value Upper-Tail p-value Two-Tail p-value Significance Level (alpha) Data + Calculation Mode: Automatic Workbook Statistics B Formulas Can the hypothesis that the population standard deviation is 12 be rejected? (Enter "Can be rejected" or "Cannot be rejected") 4. Data D Review 12 0.05 View E ab Formula Help Number F #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A ←0 .00 .00 →.0 G H Ev J Editing 27 K Give Feedback to Microsoft L Comments M 100% +
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