After a disappointing season, President Adams, who is 5’7” tall, is voted off the Presidents’ intermural basketball team. His replacement is a lanky newcomer, President Abraham Lincoln, who is 6’4” tall. The average points per game for the Presidents’ team after President Lincoln’s first thirty games. President Points Monroe 10 Madison 16 Jefferson 22 Washington 28 Lincoln 34 Calculate the population mean, μ; How many samples of two players from the five players are possible? List the names of each member for each of the two-player samples. Calculate the samples means for each sample, show your results as a sampling distribution of all the sample means; How many of the samples have sample error? Which ones, if any, do not? Calculate the mean of the sampling distribution of sample means and compare it to the population mean; Using the range, compare variability in the population to variability in the sampling distribution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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After a disappointing season, President Adams, who is 5’7” tall, is voted off the Presidents’ intermural basketball team. His replacement is a lanky newcomer, President Abraham Lincoln, who is 6’4” tall. The average points per game for the Presidents’ team after President Lincoln’s first thirty games.

 

President

Points

Monroe

10

Madison

16

Jefferson

22

Washington

28

Lincoln

34


  1. Calculate the population mean, μ;
  2.  How many samples of two players from the five players are possible? List the names of each member for each of the two-player samples.

  3.  Calculate the samples means for each sample, show your results as a sampling distribution of all the sample means;

  4.  How many of the samples have sample error? Which ones, if any, do not?

  5.  Calculate the mean of the sampling distribution of sample means and compare it to the population mean;
  6.  Using the range, compare variability in the population to variability in the sampling distribution.
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