In the 1992 presidential election, Alaska's 40 election districts averaged 1946 votes per district for President Clinton. The standard deviation was 551. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N(,) b. Is 1946 a population mean or a sample mean? c. Find the probability that a randomly selected district had fewer than 2004 votes for President Clinton. d. Find the probability that a randomly selected district had between 2029 and 2166 votes for President Clinton. e. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.