There is sufficient evidence to conclude that the population standard deviation is different from 0.1.
What is test statistic?
A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.
Given,
[tex]H_0:\sigma =0.1\\H_a:\sigma \neq 0.1[/tex]
Test statistic:
Chi square=(20-1)*0.25^2/0.1^2=118.75
df=20-1=19
p-value=CHIDIST(118.75,19)=0.0000
Reject the null hypothesis.
Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.
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