Suppose there are only five students in BUS 172 statistics class and the midterm-I scores of these five students are: 19, 21, 18, 22 and 20. Let x denote the score of a student. a) Write the population probability distribution of x. b) List all possible samples of size two that can be selected without replacement. Calculate the mean for each of these samples. Write the sampling distribution of x̅ (sample mean). c) Calculate the mean for the population data. Select one random sample of size two and calculate the sample mean x̅. Compute the sampling error.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Suppose there are only five students in BUS 172 statistics class and the midterm-I scores of these five
students are: 19, 21, 18, 22 and 20. Let x denote the score of a student.
a) Write the population probability distribution of x.
b) List all possible samples of size two that can be selected without replacement. Calculate the
mean for each of these samples. Write the sampling distribution of x̅ (sample mean).
c) Calculate the mean for the population data. Select one random sample of size two and
calculate the sample mean x̅. Compute the sampling error.

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