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Solved: A random sample of n observations is selected from
Chapter 7, Problem 83E(choose chapter or problem)
A random sample of n observations is selected from a normal population to test the null hypothesis that \(\sigma^2=25\). Specify the rejection region for each of the following combinations of \(H_{\mathrm{a}}, \alpha\), and n:
a. \(H_{\mathrm{a}}: \sigma^2 \neq 25 ; \alpha=.05 ; n=16\)
b. \(H_{\mathrm{a}}: \sigma^2>25 ; \alpha=.01 ; n=23\)
c. \(H_{\mathrm{a}}: \sigma^2>25 ; \alpha=.10 ; n=15\)
d. \(H_{\mathrm{a}}: \sigma^2<25 ; \alpha=.01 ; n=13\)
e. \(H_{\mathrm{a}}: \sigma^2 \neq 25 ; \alpha=.10 ; n=7\)
f. \(H_{\mathrm{a}}: \sigma^2<25 ; \alpha=.05 ; n=25\)
Questions & Answers
QUESTION:
A random sample of n observations is selected from a normal population to test the null hypothesis that \(\sigma^2=25\). Specify the rejection region for each of the following combinations of \(H_{\mathrm{a}}, \alpha\), and n:
a. \(H_{\mathrm{a}}: \sigma^2 \neq 25 ; \alpha=.05 ; n=16\)
b. \(H_{\mathrm{a}}: \sigma^2>25 ; \alpha=.01 ; n=23\)
c. \(H_{\mathrm{a}}: \sigma^2>25 ; \alpha=.10 ; n=15\)
d. \(H_{\mathrm{a}}: \sigma^2<25 ; \alpha=.01 ; n=13\)
e. \(H_{\mathrm{a}}: \sigma^2 \neq 25 ; \alpha=.10 ; n=7\)
f. \(H_{\mathrm{a}}: \sigma^2<25 ; \alpha=.05 ; n=25\)
ANSWER:Step 1 of 7
Given that, a random sample of n observations is selected from a normal population.
We have to find the rejection region for each of the given combinations of