1. Why is the population shape a concern when estimating a mean?What effect does sample size n have on the estimate of the mean?Is it possible to normalize the data when the population shape hasa known skew? How would you demonstrate the central limit theoremto your classmates?2. A mayoral election race is tightly contested. In a random sampleof 1100 likely voters 572 said they were planning to vote for thecurrent mayor. Based on this sample what is your initial hunch?Would you claim with 95% confidence that the mayor will win amajority of the votes? Explain.