Let X - N(ux, o3) and Y N(Hy,ož) where all parameters are not known. We would like to know if it is reasonable to assume that ož = o3. From 6 observations of X, we calculate a sample mean of 0.31 and a sample variance of 0.0526. From 8 observations of Y, we calculate a sample mean of 4.97 and a sample variance of alitu of th 0 O613 bunoth

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Let X - N(ux, ož) and Y - N(uy, o) where all parameters are not known. We
would like to know if it is reasonable to assume that o = o. From 6 observations
of X, we calculate a sample mean of 0.31 and a sample variance of 0.0526. From 8
observations of Y, we calculate a sample mean of 4.97 and a sample variance of
0.0612. Use an appropriate hypothesis test to investigate the equality of the
variances. (It might be useful to know that Fo.025,5.7 = 0.15 and
Fo.975,5,7 = F5,7(2.5%) = 5.29.)
Transcribed Image Text:Question Let X - N(ux, ož) and Y - N(uy, o) where all parameters are not known. We would like to know if it is reasonable to assume that o = o. From 6 observations of X, we calculate a sample mean of 0.31 and a sample variance of 0.0526. From 8 observations of Y, we calculate a sample mean of 4.97 and a sample variance of 0.0612. Use an appropriate hypothesis test to investigate the equality of the variances. (It might be useful to know that Fo.025,5.7 = 0.15 and Fo.975,5,7 = F5,7(2.5%) = 5.29.)
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