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a) what test statistic should be used to show that the variances are equal b) 95% confidence interval for the ratio of σ2X/σ2Y . Here, we are no longer assuming equal variances, so σ2X denotes the population variance of each Xi and σ2Y denotes the population variance of each Yi c) 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? true or false

a) what test statistic should be used to show that the variances are equal b) 95% confidence interval for the ratio of σ2X/σ2Y . Here, we are no longer assuming equal variances, so σ2X denotes the population variance of each Xi and σ2Y denotes the population variance of each Yi c) 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? true or false

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a) what test statistic should be used to show that the variances are equal

b) 95% confidence interval for the ratio of σ2X/σ2Y .

Here, we are no longer assuming equal variances, so σ2X denotes the population variance of each Xi and σ2Y denotes the population variance of each Yi

c) 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? true or false

Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(41, 0²) and Y1,...,Y, with each Y; ~ N(µ2, 0²). We will assume that u1, µ2 and o? are unknown. We are given a = 10.1, j = 7.1, s = 5.5 and s = 6.4, with n1 = 13 and n2 = 19.
Transcribed Image Text:Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(41, 0²) and Y1,...,Y, with each Y; ~ N(µ2, 0²). We will assume that u1, µ2 and o? are unknown. We are given a = 10.1, j = 7.1, s = 5.5 and s = 6.4, with n1 = 13 and n2 = 19.
Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: F = ~ F-1 O b. W (n1-1)S 2. 6.4 Xn-1 (n2–1)S? W = ~ Xn-1 5.5
Transcribed Image Text:Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: F = ~ F-1 O b. W (n1-1)S 2. 6.4 Xn-1 (n2–1)S? W = ~ Xn-1 5.5
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