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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:渭d>2?

a. nd=12,伪=.05

b.nd=24,伪=.10

c.nd=4,伪=.025

d.nd=80,伪=.01

Short Answer

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Checking items and paperwork to assess how well demands or criteria are satisfied, finding flaws, measuring excellence as well as danger, establishing trust, and preventing problems.

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

伪=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

伪=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

伪=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鈭�1=79

伪=0.01

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

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