In a Harris Poll conducted October 20-25, 2004, 50of 2114 randomly selected adults who follow professional football said that the Green Bay

Packers were their favorite team.

a)What is the point estimate for the % of adults who favor the Green Bay

Packers?

b)Find a 90% confidence interval for the % of adults who follow

professional football who say the Green Bay Packers is their favorite team.

Interpret your interval.

c)What is the margin of error for your above interval.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.