A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and sp

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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 27
participants on the drug had an average test score of 25.84 (SD =
4.92) while those 20 participants not on the drug (taking the
placebo) had an average score of 22.6 (SD = 6.417). 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.A options:
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5)
The federal government recently granted funds for a special
program designed to reduce crime in high-crime areas. A study of
the results of the program in high-crime areas of Miami, Florida,
are being examined to test the effectiveness of the program. The
difference in crimes reported is calculated as (crimes after -
crimes before). You want to test whether the crimes reported after
is greater than those reported before and, thus, the hypotheses are
as follows: Null Hypothesis: μD ≤ 0, Alternative
Hypothesis: μD > 0. You perform a paired sample
t-test and see a p-value of 0.1832. What is the appropriate
conclusion?
Question 14.B options:
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5)