Suppose we observe two independent random samples X1,..., X, with each X; ~ N(u1, 0²) and Y1,... ,Yng with each Y; ~ N(42, o?). We will assume that 41, 42 and o? are unknown. We are given = 10.1, ỹ = 7.1, s = 5.5 and s = 6.4, with ny = 13 and ng = 19. We will now compute a 95% contidence interval tor the ratio ot . Here, we are no longer assuming equal variances, so o denotes the population variance of each X; and of denotes the population variance of each Y,. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places. What is the upper endpoint of this confidence interval? 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: O True O False

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Suppose we observe two independent random samples X1,..., Xm, with each X; ~ N (141, 0²) and Y1,.…,Yng with each Y; ~ N(µ2,0²).
We will assume that µ1, µz and o? are unknown.
We are given z = 10.1, ỹ = 7.1, s = 5.5 and s = 6.4, with ny = 13 and n2 = 19.
We will now compute a 95% contidence interval tor the ratio ot Here, we are no longer assuming equal variances, so o denotes the
%3D
population variance of each X; and of denotes the population variance of each Y;.
What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.
What is the upper endpoint of this confidence interval?
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:
O True
O False
Transcribed Image Text:Suppose we observe two independent random samples X1,..., Xm, with each X; ~ N (141, 0²) and Y1,.…,Yng with each Y; ~ N(µ2,0²). We will assume that µ1, µz and o? are unknown. We are given z = 10.1, ỹ = 7.1, s = 5.5 and s = 6.4, with ny = 13 and n2 = 19. We will now compute a 95% contidence interval tor the ratio ot Here, we are no longer assuming equal variances, so o denotes the %3D population variance of each X; and of denotes the population variance of each Y;. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places. What is the upper endpoint of this confidence interval? 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: O True O False
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