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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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2 this question has part a and b

Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.
Population
1
2
Sample Size
48
52
Sample Mean
10.4
8.5
Sample Variance
9.5
15.42
A 90% confidence interval for u, - µ, is 0.74 to 3.06 and a 99% confidence interval for u, - µ, is 0.09 to 3.71. Use these confidence intervals to answer the questions.
Can you conclude with 99% confidence that there is a difference in the means for the two populations?
O Yes. The value u, - µ, = 0 is not in the interval which suggests that there is likely a difference between u, and u,.
O No. The value u, - µ, = 0 is not in the interval which does not suggest that there is a difference between u, and µ,.
O No. The value u, - µ, = 0 is in the interval which does not suggest that there is a difference between u, and u,.
O Yes. The value u, - H, = 0 is in the interval which suggests that there is likely a difference between
and
Can you conclude with 99% confidence that there is a difference in the means for the two populations?
O Yes. The value u, - H, = 0 is not in the interval which suggests that there is likely a difference between u, and u,.
O No. The value u, - µ, = 0 is not in the interval which does not suggest that there is a difference between u, and u,.
O No. The value u, - µ, = 0 is in the interval which does not suggest that there is a difference between u, and u,.
O Yes. The value u, - µ, = 0 is in the interval which suggests that there is likely a difference between u, and µ,.
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 48 52 Sample Mean 10.4 8.5 Sample Variance 9.5 15.42 A 90% confidence interval for u, - µ, is 0.74 to 3.06 and a 99% confidence interval for u, - µ, is 0.09 to 3.71. Use these confidence intervals to answer the questions. Can you conclude with 99% confidence that there is a difference in the means for the two populations? O Yes. The value u, - µ, = 0 is not in the interval which suggests that there is likely a difference between u, and u,. O No. The value u, - µ, = 0 is not in the interval which does not suggest that there is a difference between u, and µ,. O No. The value u, - µ, = 0 is in the interval which does not suggest that there is a difference between u, and u,. O Yes. The value u, - H, = 0 is in the interval which suggests that there is likely a difference between and Can you conclude with 99% confidence that there is a difference in the means for the two populations? O Yes. The value u, - H, = 0 is not in the interval which suggests that there is likely a difference between u, and u,. O No. The value u, - µ, = 0 is not in the interval which does not suggest that there is a difference between u, and u,. O No. The value u, - µ, = 0 is in the interval which does not suggest that there is a difference between u, and u,. O Yes. The value u, - µ, = 0 is in the interval which suggests that there is likely a difference between u, and µ,.
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