Question

A paired difference experiment yielded ??nD pairs of observations. In each case described below, what is the rejection region for testing ?0: ?=2 against ??: ? > 2? Use ??=10.
(a)    ??=49, ?=0.04

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(b)    ??=9, ?=0.06

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(c)    ??=13, ?=0.07

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Answer 1

a)

Rejection Region
This is right tailed test, for α = 0.04 and df = 48
Critical value of t is 1.789.
Hence reject H0 if t > 1.789

By using z,

This is right tailed test, for α = 0.04
Critical value of z is 1.751.
Hence reject H0 if z > 1.751

b)

This is right tailed test, for α = 0.06 and df = 8
Critical value of t is 1.74.
Hence reject H0 if t > 1.74

c)

Rejection Region
This is right tailed test, for α = 0.07 and df = 12
Critical value of t is 1.58.
Hence reject H0 if t > 1.58