The proportion of adult women in the United States is approximately 51%. A marketing survey telephones 400 people at random. a. What is the sampling distribution of the observed proportion that are women? b. What proportion of women in the sample of 400 would you expect to see? c. What is the standard deviation of that proportion?

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows: # of movies      Frequency0                       51                       92                       63                      44                      1Table 2.83 a. Find the sample mean x¯.b. Find the approximate sample standard deviation, s

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $47,000 and a standard deviation of $4,600. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)a. Find the 90th percentile for an individual teacher's salary b. Find the 90th percentile for the average teacher's salary.

In the 1992 presidential election, Alaska's 40 election districts averaged 1824 votes per district for President Clinton. The standard deviation was 573. (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 1824 a population mean or a sample mean?    c. Find the probability that a randomly selected district had fewer than 1872 votes for President Clinton. d. Find the probability that a randomly selected district had between 1842 and 2091 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.