Show all work including proper notation two hypothesis , pvalue and decision with summary please. And any calculator functions used

automati D Question 3 10 pts A high school track and field coach designed a new starting block for the 100-meter run. He proposed to the Athletic Department that the purchase and development of the starting block will result in faster 100-meter times. The times of 7 athletes were randomly selected and recorded without the use of the new block and with the use of the new block. The results are shown below. Construct a 90% confidence interval and interpret your interval for the Athletic Department. Run Times Athlete Amy Bree Cami Denise Elayna Francine Gabby Without 15.2 15.7 14.9 16.1 13.8 14.5 15.5 With 14.9 15.9 15.0 15.5 13.6 14.0 15.1