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

question 76

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$ -test to conduct the required hypothesis test.
- $\mathrm { s } = 12 , \mathrm { n } = 13$
$\mathrm { H } _ { 0 } : \sigma = 7 , \mathrm { H } _ { \mathrm { a } } : \sigma > 7 , \alpha = 0.05$

• A)Test statistic: \(\mathrm { X } ^ { 2 } = 4.083\), Critical value \(= 23.337\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(X ^ { 2 } = 4.083\), Critical value \(= 21.026\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { X } ^ { 2 } = 35.265\), Critical value \(= 23.337\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { X } ^ { 2 } = 35.265\), Critical value \(= 21.026\). Reject \(\mathrm { H } _ { 0 }\).

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