Can I please get this in 15min.

1. (60 pts.) Two swimmers are recognized as among the best in a certain event. In a series of independent practice trials, they achieve the following times in seconds. Assume that the times are normally distributed. Swimmer A: 30.7 31.2 31.3 30.9 30.2 31.4 30.7 31.1 Swimmer B: 31.1 31.2 31.4 31.6 31.4 31.3 31.5 30.9 a. On the basis of these trials, can you detect a significant difference between the mean performance times of these two swimmers at the 1% significance level? b. Construct a 95% confidence interval for the difference in the mean times between the two swimmers. c. What is the point estimate for the difference in the mean times between the two swimmers? d. What is the margin of error for the confidence interval found in part (b)? e. Interpret the confidence interval for the difference in mean times obtained in part b