A Sample Standard Deviation and Sample Size Are Given $\mathrm { s } = 13.1 , \mathrm { n } = 22$

question 43

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation x²-test to conduct the requiredhypothesis test.
- $\mathrm { s } = 13.1 , \mathrm { n } = 22$
$\mathrm { H } _ { 0 } : \sigma = 16.1 , \mathrm { H } _ { \mathrm { a } } : \sigma < 16.1 , \alpha = 0.01$

• A)Test statistic: \(\mathrm { X } ^ { 2 } = 13.903\). Critical value \(= 8.897\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { X } ^ { 2 } = 13.903\). Critical value \(= 8.897\). Reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(X ^ { 2 } = 13.903\). Critical value \(= 38.932\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { X } ^ { 2 } = 13.903\). Critical value \(= 38.932\). Do not reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Cross-Sectional Analysis

An analytical method that involves comparing different data points at a specific point in time across a sample or population.

Common Size Statements' Analysis

A method of financial analysis that expresses each line item as a percentage of a standard value from the financial statements to allow for comparison.

Trend Analysis

The practice of collecting information and attempting to spot a pattern, often used in financial analysis to predict future movements.

Lower Profitability

A situation where a company or business generates less profit or income compared to previous periods or compared to expectations.