Suppose we observe two independent random samples X1, ..., X, with each X¿ ~ N(µ₁,σ²) and Y₁,..., Y with each Y₁ ~N(μ2,0²). We will assume that μ1, 2 and σ² are unknown. We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We will now compute a 95% confidence interval for the ratio of 11. Here, we are no longer assuming στ equal variances, so σ denotes the population variance of each X; and σ denotes the population variance of each Y. What is the lower endpoint of this confidence interval? Give your answer to 3 decimal places. Answer: 0.310 What is the upper endpoint of this confidence interval? Answer: 2.671 Based on the confidence interval, you would reject, at 5% level of significance, the hypothesis that the two samples are from populations with equal variance? Select one: ○ True False
Suppose we observe two independent random samples X1, ..., X, with each X¿ ~ N(µ₁,σ²) and Y₁,..., Y with each Y₁ ~N(μ2,0²). We will assume that μ1, 2 and σ² are unknown. We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We will now compute a 95% confidence interval for the ratio of 11. Here, we are no longer assuming στ equal variances, so σ denotes the population variance of each X; and σ denotes the population variance of each Y. What is the lower endpoint of this confidence interval? Give your answer to 3 decimal places. Answer: 0.310 What is the upper endpoint of this confidence interval? Answer: 2.671 Based on the confidence interval, you would reject, at 5% level of significance, the hypothesis that the two samples are from populations with equal variance? Select one: ○ True False
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Please could you check if my answers are correct
Transcribed Image Text:Suppose we observe two independent random samples X1, ..., X, with each X¿ ~ N(µ₁,σ²)
and Y₁,..., Y with each Y₁ ~N(μ2,0²). We will assume that μ1, 2 and σ² are unknown.
We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19.
We will now compute a 95% confidence interval for the ratio of 11. Here, we are no longer assuming
στ
equal variances, so σ denotes the population variance of each X; and σ denotes the population
variance of each Y.
What is the lower endpoint of this confidence interval? Give your answer to 3 decimal places.
Answer: 0.310
What is the upper endpoint of this confidence interval?
Answer: 2.671
Based on the confidence interval, you would reject, at 5% level of significance, the hypothesis that
the two samples are from populations with equal variance?
Select one:
○ True
False
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