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 30 participants on the drug had an average test score of 32.74 (SD = 4.858) while those 28 participants not on the drug (taking the placebo) had an average score of 30.23 (SD = 5.807). 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 14 options:

1)	Test Statistic: 1.79, P-Value: 0.9606

2)	Test Statistic: 1.79, P-Value: 0.0789

3)	Test Statistic: -1.79, P-Value: 0.0789

4)	Test Statistic: 1.79, P-Value: 1.9606

5)	Test Statistic: 1.79, P-Value: 0.0394

Answer 1