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Chapter 8: Q27E (page 478)

A paired difference experiment yielded ndpairs of observations. In each case, what is the rejection region for testing H0:μd>2?

a. nd=12,α=.05

b.nd=24,α=.10

c.nd=4,α=.025

d.nd=80,α=.01

Short Answer

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Step by step solution

01

Step-by-Step Solution Step 1: (a) State the rejection region when  nd= 12, α = 0.05

For a small sample size, the rejection criteria will depend upon the t-test.

Here, n=12

So, the degree of freedom will be n-1=11

α=0.05

So, the upper-tailed test rejection region will be t>1.796

02

(b) State the rejection region when nd= 24, α = 0.10

For a small sample size, the rejection criteria will depend upon the t-test.

Here, n=24

So, the degree of freedom will be n-1=23

α=0.10

So, the upper-tailed test rejection region will be t>1.319
03

(c) State the rejection region when nd= 4, α = 0.025

For a small sample size, the rejection criteria will depend upon the t-test.

Here, n=4

So, the degree of freedom will be n-1=3

α=0.025

So, the upper-tailed test rejection region will be t>3.181

04

(d) State the rejection region when nd= 80, α = 0.01

For a large sample size, the rejection criteria will depend upon the t-test.

Here,n=80

So, the degree of freedom will be =n−1=79

α=0.01

So, the upper-tailed test rejection region will bet>2.374

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