Given the Following Null and Alternative Hypotheses H₀ : μ₁

question 86

Multiple Choice

Given the following null and alternative hypotheses H₀ : μ₁ ≥ μ₂
H_A : μ₁ < μ₂
Together with the following sample information
Assuming that the populations are normally distributed with equal variances,test at the 0.05 level of significance whether you would reject the null hypothesis based on the sample information.Use the test statistic approach.

• A)Because the calculated value of t = -2.145 is less than the critical value of t = -1.6973,reject the null hypothesis.Based on these sample data,at the α = 0.05 level of significance there is sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
• B)Because the calculated value of t = -1.814 is less than the critical value of t = -1.6973,reject the null hypothesis.Based on these sample data,at the α = 0.05 level of significance there is sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
• C)Because the calculated value of t = -1.329 is not less than the critical value of t = -1.6973,do not reject the null hypothesis.Based on these sample data,at the α = 0.05 level of significance there is not sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
• D)Because the calculated value of t = -1.415 is not less than the critical value of t = -1.6973,do not reject the null hypothesis.Based on these sample data,at the α = 0.05 level of significance there is not sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.

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Definitions:

Contribution Margin

Contribution Margin is the difference between sales revenue and variable costs of production, indicating how much revenue contributes to fixed costs and profit.

Contribution Format

A financial reporting format that highlights the contribution margin, used primarily in internal decision-making processes.

Income Statement

A financial report detailing a firm's income and expenditures within a certain timeframe, resulting in the total earnings or deficit experienced during that interval.

Net Operating Income

The income generated from normal business operations after deducting operating expenses but before interest and taxes.