A study was carried out to compare mean customer satisfaction scores at service center city A, in city B, and in city C. The sample means on a scale of 0 to 10 were 8.4 in city A, city B, and 7.9 in city C. Each sample size = 100, MS error = 0.41, and the F test statistic has P-value <0.001. Complete parts a through d. interpret the confidence intervals. A. Since 0 falls in at least one of the intervals, we cannot infer that all three pairs of population means are different. OB. Since 0 does not fall in any of these intervals, we can infer that all three pairs of

A First Course in Probability (10th Edition)
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The image presents a statistical analysis scenario conducted to compare mean customer satisfaction scores at service centers in three cities: A, B, and C. The sample means on a scale of 0 to 10 were reported as follows: 8.4 in city A, 8.6 in city B, and 7.9 in city C. Each sample size is 100, with an MS (Mean Square) error of 0.41. The F test statistic is 22, and the given p-value is less than 0.001. The task includes completing parts a through d of the analysis.

The image also provides options for interpreting the confidence intervals:

- **Option A:** Indicates that if 0 falls in at least one of the intervals, it cannot be inferred that all three pairs of population means are different.

- **Option B:** States that if 0 does not fall in any of these intervals, it can be inferred that all three pairs of population means are different. City A is higher than cities B and C. City C is higher than city B.

- **Option C (Correct Answer):** Suggests that if 0 does not fall in any of these intervals, we can infer all three pairs of population means are different. City C is higher than cities A and B. City B is higher than city A.

- **Option D:** Proposes that if 0 does not fall in any of these intervals, it can be inferred all three pairs of population means are different. City B is higher than cities A and C. City A is higher than city C.

Additionally, part c mentions constructing the Tukey 95% multiple comparison confidence intervals for comparing the service centers, with an error margin of 0.22. The intervals are yet to be filled in the provided space.

No graphs or diagrams are present in the image.
Transcribed Image Text:The image presents a statistical analysis scenario conducted to compare mean customer satisfaction scores at service centers in three cities: A, B, and C. The sample means on a scale of 0 to 10 were reported as follows: 8.4 in city A, 8.6 in city B, and 7.9 in city C. Each sample size is 100, with an MS (Mean Square) error of 0.41. The F test statistic is 22, and the given p-value is less than 0.001. The task includes completing parts a through d of the analysis. The image also provides options for interpreting the confidence intervals: - **Option A:** Indicates that if 0 falls in at least one of the intervals, it cannot be inferred that all three pairs of population means are different. - **Option B:** States that if 0 does not fall in any of these intervals, it can be inferred that all three pairs of population means are different. City A is higher than cities B and C. City C is higher than city B. - **Option C (Correct Answer):** Suggests that if 0 does not fall in any of these intervals, we can infer all three pairs of population means are different. City C is higher than cities A and B. City B is higher than city A. - **Option D:** Proposes that if 0 does not fall in any of these intervals, it can be inferred all three pairs of population means are different. City B is higher than cities A and C. City A is higher than city C. Additionally, part c mentions constructing the Tukey 95% multiple comparison confidence intervals for comparing the service centers, with an error margin of 0.22. The intervals are yet to be filled in the provided space. No graphs or diagrams are present in the image.
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