How about this- A large university wants to compare the mathematical abilities o

Question

How about this- A large university wants to compare the mathematical abilities of its male and female students. A researcher selects 100 men and 100 women at random from each of the four classes, and administers a math test. The men average 500 on the test, with a standard deviation of 120. The women average 450 on the test, with a standard deviation of 110. What test would be appropriate to determine whether the difference between men and women is real or due to chance variation? Pearsons Correlation Coefficient (r) Regression Analysis t-test for Independent Means t-test for Correlated Means (aka Paired t-test) I think the answer is Pearsons Correlation: am I correct?

Explanation / Answer

no,correct answer is t-test for Independent Means ! The t- test for independent groups is used when comparing means derived from two different and unrelated groups. We have two independent groups in this example, men and women. To test a hypothesis regarding the differences between the two groups, we can use a t test for independent groups.

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