Introduction To Statistics And Data Analysis
Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 8.1, Problem 7E

Consider the following population: {1, 2, 3, 4}. For this population the mean is

μ = 1 + 2 + 3 + 4 4 = 2.5

Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 12 possible samples (assuming that the order in which observations are selected is taken into account):

Chapter 8.1, Problem 7E, Consider the following population: {1, 2, 3, 4}. For this population the mean is =1+2+3+44=2.5

  1. a. Calculate the sample mean for each of the 12 possible samples.
  2. b. Use the sample means to construct the sampling distribution of . Display the sampling distribution as a density histogram.
  3. c. Suppose that a random sample of size 2 is to be selected, but this time sampling will be done with replacement. Using a method similar to that of Part (a), construct the sampling distribution of . (Hint: There are 16 different possible samples in this case.)
  4. d. In what ways are the two sampling distributions of Parts (b) and (c) similar? In what ways are they different?
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Introduction To Statistics And Data Analysis

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