A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decid experiment. Each day he flips a coin to determine which way to go, driving each route 20 days. He finds that Route A takes an average of 45 minutes, with standard deviation 3 minutes, and Route B takes a average of 49 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (B-HA) The confidence interval is (.). (Round to two decimal places as needed.)

A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.

PLEASE DONT USE EXCEL AND SHOW STEP BY STEP SOLUTION

According to the Pew Research Center, 14% of adults rate basketball as their favorite sport. Your boss believes the proportion may be lower among adults over age 65, and wants you to collect evidence to see if this is true. You take a survey of adults over age 65, and only 12 out of 120 of them rate basketball as their favorite sport. You would like to set �=0.05. Your boss tells you that your firm will base some expensive decisions on the results of your hypothesis test, so a higher standard of evidence for rejecting the null hypothesis is needed. What should you do? Group of answer choices Keep the significance level the same but collect more data Increase the significance level to 10% Reduce the significance level to 1% Throw out observations that look suspicious thanks