question 4

FP-Q.4 ( 5 marks) Each of five laboratory mice was released into a maze twice. The five pairs of times to escape were: Mouse 1 3 4 5 First release 129 89 136 163 118 Second release 113 97 139 85 75 (a) (1.5 mark) Give a point estimate of the difference in the mean time to escape between the first and the second release. Compute the sample standard deviation of the difference in time to escape between the first and the second releases. (b) (1.5 mark) Construct the 90% confidence interval for the mean difference of time to escape between the first and the second release. (c) (1.0 mark) Test, at the 10% level of significance, the hypothesis that it takes mice less time to run the maze on the second trial, on average. (d) (1.0 mark) Compute the observed significance of the test. 1