1. Is the typical US runner getting faster or slower over time? We consider this question in the context of the Cherry Blossom Race, which is a 10-mile race in Washington, DC each spring. The average time for all runners who finished the Cherry Blossom Race in 2006 was 93.29 minutes (93 minutes and about 17 seconds). We want to determine using data from 100 participants in the 2017 Cherry Blossom Race whether runners in this race are getting faster or slower, versus the other possibility that there has been no change.For the simple random sample of 100 participants in the 2017 race, the mean was 97.32 minutes.Population standard deviations for this race over many years has stayed steady at 17.00 minutes.Find a 95% confidence interval for the true mean race time for the 2017 Cherry Blossom Race and interpret the result.Are the runners getting slower?