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 σ = 14 is expected. In 2012, 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 follows. 95 90 83 75 95 98 80 83 82 93 86 80 94 64 62 (a) What is the sample mean customer satisfaction score for Costco? (b) What is the sample variance? (Round your answer to two decimal places.) (c) What is the sample standard deviation? (Round your answer to two decimal places.) (d) Construct a hypothesis test to determine whether the population standard deviation of σ = 14 should be rejected for Costco. With a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses. H0: σ2 = 196,Ha: σ2 ≠ 196 H0: σ2 ≥ 196,Ha: σ2 < 196 H0: σ2 ≤ 196, Ha: σ2 > 196 H0: σ2 < 196, Ha: σ2 ≥ 196 H0: σ2 > 196, Ha: σ2 ≤ 196 Find the value of the test statistic. (Round your answer to three decimal places.) ______ Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. (A)Do not reject H0. We can conclude that the population standard deviation is not 14. (B)Reject H0. We can conclude that the population standard deviation is not 14. (C) Reject H0. We cannot conclude that the population standard deviation is not 14. (D) Do not reject H0. We cannot conclude that the population standard deviation is not 14.
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 σ = 14 is expected. In 2012, 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 follows. 95 90 83 75 95 98 80 83 82 93 86 80 94 64 62 (a) What is the sample mean customer satisfaction score for Costco? (b) What is the sample variance? (Round your answer to two decimal places.) (c) What is the sample standard deviation? (Round your answer to two decimal places.) (d) Construct a hypothesis test to determine whether the population standard deviation of σ = 14 should be rejected for Costco. With a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses. H0: σ2 = 196,Ha: σ2 ≠ 196 H0: σ2 ≥ 196,Ha: σ2 < 196 H0: σ2 ≤ 196, Ha: σ2 > 196 H0: σ2 < 196, Ha: σ2 ≥ 196 H0: σ2 > 196, Ha: σ2 ≤ 196 Find the value of the test statistic. (Round your answer to three decimal places.) ______ Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. (A)Do not reject H0. We can conclude that the population standard deviation is not 14. (B)Reject H0. We can conclude that the population standard deviation is not 14. (C) Reject H0. We cannot conclude that the population standard deviation is not 14. (D) Do not reject H0. We cannot conclude that the population standard deviation is not 14.
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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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 σ = 14 is expected. In 2012, 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 follows.
| 95 | 90 | 83 | 75 | 95 |
| 98 | 80 | 83 | 82 | 93 |
| 86 | 80 | 94 | 64 | 62 |
(a) What is the sample mean customer satisfaction score for Costco?
(b) What is the sample variance? (Round your answer to two decimal places.)
(c) What is the sample standard deviation? (Round your answer to two decimal places.)
(d) Construct a hypothesis test to determine whether the population standard deviation of σ = 14 should be rejected for Costco. With a 0.05 level of significance, what is your conclusion?
State the null and alternative hypotheses.
H0: σ2 = 196,Ha: σ2 ≠ 196
H0: σ2 ≥ 196,Ha: σ2 < 196
H0: σ2 ≤ 196, Ha: σ2 > 196
H0: σ2 < 196, Ha: σ2 ≥ 196
H0: σ2 > 196, Ha: σ2 ≤ 196
Find the value of the test statistic. (Round your answer to three decimal places.) ______
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
(A)Do not reject H0. We can conclude that the population standard deviation is not 14.
(B)Reject H0. We can conclude that the population standard deviation is not 14.
(C) Reject H0. We cannot conclude that the population standard deviation is not 14.
(D) Do not reject H0. We cannot conclude that the population standard deviation is not 14.
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