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:

Indefinitely

An undefined period of time without any set end date or limit.

Ordinary Annuity

A sequence of identical disbursements occurring at consecutive periods' conclusion, spanning a determined duration.

Infinite Stream

An endless sequence of cash flows, often used in the analysis of investments or financial models.

Unequal Payments

Payments that vary in amount over time, as opposed to equal or fixed payments.