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 \(\mathrm { H } _ { 0 }\).

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Definitions:

1700s

The 1700s, or the 18th century, was a period marked by significant political, cultural, and scientific developments, including the Enlightenment and the start of the Industrial Revolution.

Gini Index

A measure of income inequality. Its value ranges from 0 (which means that every household earns exactly the same amount of money) to 1 (which means that all income is earned by a single household).

Household

A household consists of one or more people who live in the same dwelling and share living accommodations, which could include families, roommates, or individuals living alone.

National Income

The total monetary value of all goods and services produced over a specific time period within a country’s borders, used as an indicator of economic health.