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Chapter 10: Q. 10.120 (page 441)

H2*渭1鈮�渭2

Short Answer

Expert verified

Since the value of test statistics 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

02

Explanation

Let's compute the sample mean as follow

d炉=鈭�dn

=78

=0.875

Calculate the value of standard deviation is,

sd=鈭�di2-鈭�di2nn-1

=47-(7)288-1=2.4165

The test statistics are,

t=d炉sdn

Substitute the given values in the above equation.

z=0.8752.41655

=1.024

The nvalue of degree of freedom is,

dof=n-1=8-1=7

The critical value for a level of significance of 0.1is 1.895.

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Most popular questions from this chapter

A hypothesis test is to be performed to compare the means of two populations, using a paired sample. The sample of 15 paired differences contains an outlier but otherwise is roughly bell-shaped. Assuming that it is not legitimate to remove the outlier, which test is better to use-the paired t-test or the paired Wilcoxon signed-rank test? Explain your answer,

The primary concern is deciding whether the mean of Population 2 is less than the mean of Population1.

Nigerian Spleen Length. Refer to Exercise 10.49 and determine a 99% confidence interval for the difference between mean spleen lengths of Nigerian males and females.

What constitutes each pair in a paired sample?

State one possible advantage of using paired samples instead of independent samples.
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