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Chapter 10: Q. 10.121 (page 442)

Ha*渭1<渭2

Short Answer

Expert verified

Since the value of the test statistic is fall in the rejection region. Thus, the null hypothesis is rejected.

Step by step solution

01

Given Information

The hypothesis is

H0:渭1=渭2,Ha:渭1<渭2

and the level of significance is0.1.

02

Explanation

Let's compute the sample mean as follow

d炉=鈭�dn

=-219

=-2.333.

Compute the value of standard deviation:

sd=鈭�di2-鈭�di2nn-1

=121-(-21)299-1=3

The test statistics are,

t=d炉sdn

Substitute the given values in the above equation.

t=-2.33399=-2.333

The value of degree of freedom is,

dof=n-1=9-1=8

The critical value for the level of significance of 0.1 is -1.397.

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