Let X1, X2, . . . , Xn be a random sample of size n from...

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Let X1, X2, . . . , Xn be a random sample of size n from...

Let X1, X2, . . . , Xn be a random sample of size n from a normal population with mean µX and variance σ ^2 . Let Y1, Y2, . . . , Ym be a random sample of size m from a normal population with mean µY and variance σ ^2 . Also, assume that these two random samples are independent.

It is desired to test the following hypotheses

H0 : σX = σY versus H1 : σX > σY

at 100α% level of significance. Find a test statistic and its sampling distribution under H0. What is the rejection region?

It is desired to test the following hypotheses

H0 : µX = µY versus H1 : µX not equal to µY

at 100α% level of significance. Assuming that σ 2 X and σ 2 Y are known, find a test statistic and its sampling distribution under H0. What is the rejection region?

It is desired to test the following hypotheses

H0 : µX = µY versus H1 : µX < µY

at 100α% level of significance. Assuming that σ 2 X and σ 2 Y are unknown but equal, find a test statistic and its sampling distribution under H0. What is the rejection region?

math Statistics-And-Probability

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Answer 1

Answer #1

let *, ,X2, Xn be random sample of sizen foon normal population with mean Mx, and variance 82 2. it Yo Y2 pormal Ym be undom The sampling distribution is standaid normal ZwN10,1). Rejection region i feject Ho if Iz172212 c) Ux lly Me: H x Lly Test

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Answer 2

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