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Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 49 10.3 9.64 15.42 2 58 8.5 A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁ - ₂ is 0.05 to 3.55. 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? Yes. The value #₁ - #₂ = 0 is not in the interval which suggests that there is likely a difference between and M₁ 1₂" No. The value #₁ - ₂ = 0 is not in the interval which does not suggest that there is a difference between #1 and #₂. No. The value #₁ - H₂ = 0 is in the interval which does not suggest that there is a difference between O Yes. The value #₁ - ₂ = 0 is in the interval which suggests that there is likely a difference between M₂ and #₂" H₂ and #₂"

Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 49 10.3 9.64 15.42 2 58 8.5 A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁ - ₂ is 0.05 to 3.55. 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? Yes. The value #₁ - #₂ = 0 is not in the interval which suggests that there is likely a difference between and M₁ 1₂" No. The value #₁ - ₂ = 0 is not in the interval which does not suggest that there is a difference between #1 and #₂. No. The value #₁ - H₂ = 0 is in the interval which does not suggest that there is a difference between O Yes. The value #₁ - ₂ = 0 is in the interval which suggests that there is likely a difference between M₂ and #₂" H₂ and #₂"

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 49 10.3 9.64 2 58 8.5 15.42 A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁-₂ is 0.05 to 3.55. 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? Ⓒ Yes. The value #₁ - ₂2=0 is not in the interval which suggests that there is likely a difference between ₁ and 1₂. ₂ = 0 is not in the interval which does not suggest that there is a difference between and H1 #₂. O No. The value μ₁ - O No. The value μ₁ - ₂ = 0 is in the interval which does not suggest that there is a difference between and M₂ 1₂" and H₂ H₂² Yes. The value and H₂ H₂" = 0 is in the interval which suggests that there is likely a difference between M₁ - H₂ Can you conclude with 99% confidence that there is a difference in the means for the two populations? O Yes. The value #₁ - #₂ = 0 is not in the interval which suggests that there is likely a difference between No. The value #₁ - ₂ = 0 is not in the interval which does not suggest that there is a difference between No. The value μ₁ −μ₂ = 0 is in the interval which does not suggest that there is a difference between O Yes. The value μ₁ - ₂ = 0 is in the interval which suggests that there is likely a difference between H₂ and 42- M1 M₂ and #₂" and ₂
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 49 10.3 9.64 2 58 8.5 15.42 A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁-₂ is 0.05 to 3.55. 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? Ⓒ Yes. The value #₁ - ₂2=0 is not in the interval which suggests that there is likely a difference between ₁ and 1₂. ₂ = 0 is not in the interval which does not suggest that there is a difference between and H1 #₂. O No. The value μ₁ - O No. The value μ₁ - ₂ = 0 is in the interval which does not suggest that there is a difference between and M₂ 1₂" and H₂ H₂² Yes. The value and H₂ H₂" = 0 is in the interval which suggests that there is likely a difference between M₁ - H₂ Can you conclude with 99% confidence that there is a difference in the means for the two populations? O Yes. The value #₁ - #₂ = 0 is not in the interval which suggests that there is likely a difference between No. The value #₁ - ₂ = 0 is not in the interval which does not suggest that there is a difference between No. The value μ₁ −μ₂ = 0 is in the interval which does not suggest that there is a difference between O Yes. The value μ₁ - ₂ = 0 is in the interval which suggests that there is likely a difference between H₂ and 42- M1 M₂ and #₂" and ₂
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