Question: A new advertising program involves placing small screens on the back of taxi front seats in order to run several advertisements continuously. The theory is

A new advertising program involves placing small screens on the back of taxi front seats in order to run several advertisements continuously. The theory is that riders give their undivided attention to these ads during the entire trip. To understand the potential of the advertising program, advertisers would like to first learn about the length of time of taxi rides. Specifically if they are different. Random samples of the taxi ride times (in minutes) in two cities were obtained. Please assume that the distributions are normal. The summary data are given in the following table. You will not need to use the information from all the rows. Please provide three decimal places for all work and answers unless explicity mentioned otherwise. this is a two sample independent test

Length of Taxi Ride (minutes) n x s
San Diego 29 20.32 6.191
Phoenix 29 15.28 5.773
San Diego - Phoenix 29 5.04 8.117

A. Is there any evidence to suggest the true mean lengths of the taxi rides are different in the two cities? Use = 0.008 Calculate the test statistic. Be sure that the information for San Diego is first and the information for Phoenix is second. Calculate the p-value. Please use at least 3 non-zero numbers. You may use exponential notation.

B. Calculate the appropriate confidence interval or bound for the mean based on the question in part c). (0.2 pts.) What is the critical value? Please use 4 decimal places. What is the interval or bound? Interpet the interval or bound

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