Given the Following Null and Alternative Hypotheses H0 : μ1

question 110

Multiple Choice

Given the following null and alternative hypotheses H0 : μ1 ≥ μ2 HA : 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:

Memory Improvement

Techniques or strategies aimed at enhancing an individual's ability to remember information.

Random Assignment

A method used in experiments where participants are allocated to different groups in a way that each has an equal chance of being assigned to any group, ensuring variability is spread out evenly.

Experimental Groups

Groups in an experimental study that receive the treatment or intervention being tested, as opposed to control groups.

Control Groups

Control groups are used in experiments as a baseline to compare against the treatment group to determine the effect of a variable being tested.