**23. TV Sets:**A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. A sample of 85 households is drawn.a. What is the probability that the sample mean number of TV sets is greater than 2?b. What is the probability that the sample mean number of TV sets is between 2.5 and 3?c. Find the 30th percentile of the sample mean.d. Would it be unusual for the sample mean to be less than 2?e. Can you tell whether it would be unusual for an individual household to have fewer than 2 TV sets? Explain.

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Answered: 23. TV sets: A Nielsen Company report…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A forester measures the diameters of 40 redwood trees in a large wooded area that is for sale. It is known that the mean diameter of redwood trees is 10.4 ft and a standard deviation of 4.5 ft. a. Describe the sampling distribution of the average diameter of the sample of 40 redwood trees. b. What is the probability that the mean diameter of the sample of 40 redwood trees falls between 16 and 18 feet?
After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,575 (U.S. News & World Report, America’s Best Colleges, 2009 ed.). Assume the population standard deviation is $7200. Suppose that a random sample of 70 USC students will be taken from this population.a.What is the probability that the sample mean will be within 750 of the population mean? b. How would the probability in part (a) change if the sample size were increased to 160?
In the 1992 presidential election, Alaska's 40 election districts averaged 1833 votes per district for President Clinton. The standard deviation was 558. (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(Correct,Correct) b. Is 1833 a population mean or a sample mean? Select an answer Sample Mean Population Mean c. Find the probability that a randomly selected district had fewer than 1915 votes for President Clinton. d. Find the probability that a randomly selected district had between 1813 and 1922 votes for President Clinton. e. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.
sixteen men and sixteen women purchased magazine subscriptions.
Given a normal population whose mean is 435 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 3 has a mean between 442 and 448. Probability = B. The probability that a random sample of 18 has a mean between 442 and 448. Probability = C. The probability that a random sample of 22 has a mean between 442 and 448. Probability =
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