The following measurement were taken for five subjects on variables X and Y:
Subject: X Y
A 2 6
B 6 13
C 5 12
D 4 11
E 1 4

Please draw a scatterplot on these data to exam their relationship visually. Comment on what you see through the scatterplot. Then comput ethe Pearson r with the relevant formula and procedures.

The dean is concerned that the students’ grade-point averages have changed dramatically in recent years. The graduating seniors’ mean GPA over the past 5 years is 2.8. The dean randomly samples 256 seniors from the last graduating class and finds that their mean GPA is 2.85, with a standard deviation of 0.65. Please test the null hypothesis that the mean GPA for graduating seniors is 2.75 against the non-directional alternative.

A study was conducted on the effects of two drugs. Two random samples of rats were used for the study. One sample received Drug A, the other sample received drug B. After the experiment, the rats were measured on hyperactivity with the following results:

Drug A Drug B

Mean 75 72

n 18 24

s 3.5 3.2

Test the appropriate hypothesis (assume homogeneous variances).

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