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Chapter 9: Q.101 (page 592)

You are testing H0:μ=10against Hα:μ≠10based on an SRS of 15tobservations from a Normal population. What values of the statistic are statistically significant at theα=0.005level?

(a) t>3.326

(b) t>3.286

(c) t>2.977

(d) t<-3.326ort>3.326

(c)t<-3.286ort>3.286

Short Answer

Expert verified

The values of the statistic are statistically significant at the α=0.005level is (d)t<-3.325ort>3.326

Step by step solution

01

Given Information

Given in the question that,

H0:μ=10

Hα:μ≠10

n=15

α=0.005we have to find the correct option.

02

Step 2:  Explanation

Identifying the important values in the row with the degree of freedom

df=n-1

=15-1

=14

and in the column withα/2=0.005/2

=0.0025

in table B :

t=±3.326

The test is then statistically significance for values more extreme than the critical values and therefore it is t<-3.326ort>3.326

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