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

question 19

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $x ^ { 2 }$ -test to conduct the requiredhypothesis test.
- $\mathrm { s } = 979 , \mathrm { n } = 22$
$\mathrm { H } _ { 0 } : \sigma = 650 , \mathrm { H } _ { \mathrm { a } } : \sigma > 650 , \alpha = 0.01$

• A)Test statistic: \(X ^ { 2 } = 47.638\). Critical value \(= 38.932\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(X ^ { 2 } = 37.115\). Critical value \(= 38.932\). Reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(X ^ { 2 } = 37.115\). Critical value \(= 38.932\). Do not reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(X ^ { 2 } = 47.638\). Critical value \(= 38.932\). Reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.