1. A researcher wanted to estimate the mean fuel economy for municipal buses in a large city. 100 buses were sampled and the sample mean fuel economy was 9.8 MPG. For the following questions, assume the population standard deviation of the fuel economy of all municipal buses in the city, is 1.2 MPG.

a. Construct a 95% confidence interval for the mean fuel economy for all municipal buses for this city.Show your work.

b. Interpret your confidence interval from the previous part in the context of the problem.

c. Construct a 98% confidence interval for the mean fuel economy for all municipal buses for this city.Show your work.

d. Interpret your confidence interval from the previous part in the context of the problem.

e. Suppose you wanted to redo the sampling of the 98% confidence interval in order to get a margin of error of plus or minus 0.1 MPG. Determine the necessary sample size.