We will now compute a 95% confidence interval for the ratio of. Here, we are no longer assuming equal of variances, so o denotes the population variance of each X; and o denotes the population variance of each Y¡₁. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.

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c) What is the upper endpoint of this confidence interval?

d) 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 X1₁, ... , Xn, with each X; ~ N(μ₁,0²) and
Y₁, ..., Yn with each Y; ~ N(μ₂,0²). We will assume that μ₁, μ₂ and ² are unknown.
9
n2
We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19.
We would like to test the hypothesis Ho: M₁ = μ₂ versus H₁ : M₁ ‡ M₂.
What test statistic should you use? You may assume the samples come from populations with equal
variances.
Transcribed Image Text:Suppose we observe two independent random samples X1₁, ... , Xn, with each X; ~ N(μ₁,0²) and Y₁, ..., Yn with each Y; ~ N(μ₂,0²). We will assume that μ₁, μ₂ and ² are unknown. 9 n2 We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho: M₁ = μ₂ versus H₁ : M₁ ‡ M₂. What test statistic should you use? You may assume the samples come from populations with equal variances.
We will now compute a 95% confidence interval for the ratio of 이 Here, we are no longer assuming equal
07
variances, so o denotes the population variance of each X, and o denotes the population variance of each
Y₁.
What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.
Transcribed Image Text:We will now compute a 95% confidence interval for the ratio of 이 Here, we are no longer assuming equal 07 variances, so o denotes the population variance of each X, and o denotes the population variance of each Y₁. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.
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