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

question 64

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$ -test to conduct the requiredhypothesis test.
- $\mathrm { s } = 2.4 , \mathrm { n } = 17$
$\mathrm { H } _ { 0 } : \sigma = 3.5 , \mathrm { H } _ { \mathrm { a } } : \sigma \neq 3.5 , \alpha = 0.10$

• A)Test statistic: \(X ^ { 2 } = 7.523\). Critical values \(= 7.962,26.296 .\) Reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(X ^ { 2 } = 9.870\). Critical values \(= 7.962,26.296 .\) Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { X } ^ { 2 } = 7.523\). Critical values \(= 9.312,23.542\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { X } ^ { 2 } = 9.870\). Critical values \(= 9.312,23.542\). Do not reject \(\mathrm { H } _ { 0 }\).