A Sample Standard Deviation and Sample Size Are Given $x ^ { 2 }$

question 51

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $x ^ { 2 }$ -test to conduct the requiredhypothesis test.
- $\mathrm { s } = 4 , \mathrm { n } = 29$
$\mathrm { H } _ { 0 } : \sigma = 5.2 , \mathrm { H } _ { \mathrm { a } } : \sigma < 5.2 , \alpha = 0.025$

• A)Test statistic: \(X ^ { 2 } = 16.568\). Critical value \(= 44.461\). Reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(X ^ { 2 } = 21.182\). Critical value \(= 44.461\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(X ^ { 2 } = 16.568\). Critical value \(= 15.308\). Do not reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(X ^ { 2 } = 16.568\). Critical value \(= 15.308\). Reject \(\mathrm { H } _ { 0 }\).

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