The Difference in Mean Times Case Study - Statistics Assignment Help

Assignment Task

This homework assignment is voluntary and for extra credit.

1. Suppose you conduct an experiment and inject a drug into three mice. Their times for running a maze are 8, 10, and 15s; the times for two control mice are 5 and 9s.

a) Compute the difference in mean times between the treatment group and the control group.

b) Write out all possible permutations of these times to the two groups (i.e. you have always three times assigned to the treatment group and two times assigned to the control group) and calculate the difference in means for each permutation.

c) What proportion of the differences are as large or larger than the observed difference in mean times?

d) For each permutation, calculate the mean of the treatment group only. What proportion of these means are as large or larger than the observed mean of the treatment group?

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