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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Definitions:

Dangerous Species

Species that pose a threat to human health or safety, either through direct aggression, toxicity, or disease transmission.

Keystone Species

A species that plays a crucial role in maintaining the structure of an ecological community, affecting many other organisms in an ecosystem.

Proportionate

Being in correct relation or balance between parts in terms of size, quantity, or degree.

Abundance

The large quantity or concentration of something in a particular area or environment.