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Chapter 10: Q. 10.119 (page 441)

H2:渭1>渭2

Short Answer

Expert verified

Since the value of the test statistic is fall in the accepted region. Thus, the null hypothesis is not 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 is 0.1.

02

Explanation: Step 2

Let's compute the sample mean

d炉=鈭�dn

=18

=0.125

The value of the standard deviation is:

sd=鈭�di2-鈭�di2nn-I

=113-(1)288-1

=4.0156

The test statistics are,

t=d炉sdn炉

Replace the above value in the given equation

z=0.1254.01568

=0.09

The value of degree of freedom is,

df=n-1

=8-1=7

The critical value for the level of significance of 0.1is -1.44.

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Most popular questions from this chapter

10.33 Regarding the four conditions required for using the pooled t-procedures:
a. what are they?
b. how important is each condition?

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In each of Exercises 10.75-10.80, we have provided summary statistics for independent simple random samples from two populations. In each case, use the non pooled t-test and the non pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval,

x炉1=20,s1=4,n1=10,x炉2=23,s2=5,n2=15.

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