Problem 4. 50 rats were randomly divided into two groups of 25 each. The rats in one group were given steroids. They were then timed running a maze. The rats in the non-steroid group had an average time of 1- second with an SD equal to 2 seconds and the rats in the steroid group had an average time of 9 seconds with an SD of 5 seconds.
(a) (5 pts.) What is the SE of the difference between the two averages?
(b) (5 pts.) Use the information given to calculate a test statistic for testing the null hypothesis that steroids make no difference.
(c) (5 pts.) What is the p-value of the test? Only a z-table is given on this test. For full credit include some discussion of why using a normal table is acceptable.

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