Question

A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups: group 1 takes the drug, group 2 takes a placebo. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. Those 20 participants on the drug had an average test score of 24.62 (SD = 4.649) while those 27 participants not on the drug (taking the placebo) had an average score of 28.85 (SD = 6.365). You use this information to perform a test for two independent samples with hypotheses Null Hypothesis: μ₁ ≥ μ₂, Alternative Hypothesis: μ₁ < μ₂. What is the test statistic and p-value? Assume the population standard deviations are equal.

Question 3 options:

	1) Test Statistic: -2.514, P-Value: 0.9922
	2) Test Statistic: -2.514, P-Value: 0.0156
	3) Test Statistic: -2.514, P-Value: 0.0078
	4) Test Statistic: 2.514, P-Value: 0.9922
	5) Test Statistic: 2.514, P-Value: 0.0078

Answer 1

Test Statistic is  - 2.514, P -value 0.0078

Option ' 3 ' is correct.