Based on a small sample of days, a 95% confidence interval for the difference in mean temperature for offices on the 3rdand 4thfloor of the mathematics department is found to be (-2.1,1.7) degrees.

a) [2 marks] If you did a test of the null hypothesis that there is no difference in means would you expect to get a p-value greater or less than 0.05? Give a reason.

b) [2 marks] Is the following interpretation of the CI valid or not? (Give a reason for your answer) "95 % of the time the difference in temperature between the 3rd and 4th floor is between -2.1 and 1.7 degrees"