Exercise 3: Sample Distribution of the Sample Means 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 Madison Jefferson Washington Lincoln 10 16 28 30 34 1. Calculate the population mean, µ; 2. How many samples of two players from the five players are possible? 3. List the names of the two players on each sample. Calculate the samples means for each sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Exercise 3: Sample Distribution of the Sample Means
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
Madison
Jefferson
10
16
28
Washington
30
Lincoln
34
1. Calculate the population mean, µ;
2. How many samples of two players from the five players are possible?
3. List the names of the two players on each sample. Calculate the samples means for each sample.
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 for both the population and sampling distribution of the sample means. Compare the
ranges. What does your comparison say about the variability in the population and variability in the
sampling distribution?
Transcribed Image Text:Exercise 3: Sample Distribution of the Sample Means 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 Madison Jefferson 10 16 28 Washington 30 Lincoln 34 1. Calculate the population mean, µ; 2. How many samples of two players from the five players are possible? 3. List the names of the two players on each sample. Calculate the samples means for each sample. 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 for both the population and sampling distribution of the sample means. Compare the ranges. What does your comparison say about the variability in the population and variability in the sampling distribution?
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