In your "Introduction to College Mathematics" class last semester, the instructor gave four tests.  You received scores of 90, 86, 70, and 80. List all possible samples and compute the mean of each. Contruct a sampling distrubution Suppose the instructor offered you the option of randomly selecting two scores and basing your course grade on the mean of those two tests.  Would you accept the instructor's grade offer? Explain

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 5E
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In your "Introduction to College Mathematics" class last semester, the instructor gave four tests.  You received scores of 90, 86, 70, and 80.

  • List all possible samples and compute the mean of each.
  • Contruct a sampling distrubution
  • Suppose the instructor offered you the option of randomly selecting two scores and basing your course grade on the mean of those two tests.  Would you accept the instructor's grade offer? Explain
Expert Solution
Step 1

Given Scores

90, 86, 70 , 80

Possible sample size will be 1,2,3,4

The data has been entered into excel and sample mean has been calculated for each sample

Statistics homework question answer, Step 1, Image 1
Step 2

Sampling Distribution of mean is plotted below

4.5
Frequency
4
3.5
3
2.5
2
1.5
1
0.5
81.50
83.00
90.000
70
75
78
78.66666667
80.00
82.00
85.33333333
86.000
88.000
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