Given the Following Null and Alternative Hypotheses H₀ : μ₁

question 121

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 0.10 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 = -1.415 is less than the critical value of t=-1.3104,reject the null hypothesis.Based on these sample data,at the α = 0.10 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 = -1.329 is less than the critical value of t=-1.3104,reject the null hypothesis.Based on these sample data,at the α = 0.10 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 = -0.429 is not less than the critical value of t=-1.3104,do not reject the null hypothesis.Based on these sample data,at the α = 0.10 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 = -0.021 is not less than the critical value of t=-1.3104,do not reject the null hypothesis.Based on these sample data,at the α = 0.10 level of significance there is not sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.

---

Definitions:

SEC Regulation

Refers to official rules and laws that govern securities and financial markets, enforced by the U.S. Securities and Exchange Commission.

Income Statements

A financial statement that reports a company's financial performance over a specific accounting period, detailing revenues, expenses, and profits or losses.

Balance Sheets

Financial statements that list an entity's assets, liabilities, and shareholders' equity at a specific point in time, providing a snapshot of its financial condition.

Securities Registration Statement

A document filed with the SEC that discloses essential information regarding a company's securities offering.