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Chapter 7.1, Problem 2LC

All the possible random samples of size n = 2 are selected from a population with μ = 40 and σ = 10 and the mean is computed for each sample. Then all the possible samples of size n = 25 are selected from the same population and the mean is computed for each sample. How will the distribution of sample means for n = 2 compare with the distribution for n = 25?

  1. a. The two distributions will have the same mean and variance.
  2. b. The mean and the variance for n = 25 will both be larger than the mean and variance for n = 2.
  3. c. The mean and the variance for n = 25 will both be smaller than the mean and variance for n = 2.
  4. d. The variance for n = 25 will be smaller than the variance for n = 2 but the two distributions will have the same mean.
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Chapter 7 Solutions

Bundle: Essentials of Statistics for The Behavioral Sciences, Loose-Leaf Version, 9th + LMS Integrated Aplia, 1 term Printed Access Card

Ch. 7.4 - A sample obtained from a population with = 10 has...Ch. 7.4 - Prob. 3LCCh. 7.5 - A sample is obtained from a population with = 100...Ch. 7.5 - For a normal population with = 80 and = 20,...Ch. 7.5 - For a sample selected from a normal population...Ch. 7 - Briefly define each of the following: a....Ch. 7 - A sample is selected from a population with a mean...Ch. 7 - Describe the distribution of sample means (shape,...Ch. 7 - Under what circumstances is the distribution of...Ch. 7 - A random sample is selected from a population with...Ch. 7 - For a sample of n = 16 scores, what is the value...Ch. 7 - For a population with a mean of = 40 and a...Ch. 7 - A sample of n - 25 scores has a mean of M - 68...Ch. 7 - A population forms a normal distribution with a...Ch. 7 - Scores on a standardized reading test for...Ch. 7 - Scores from a questionnaire measuring social...Ch. 7 - A normal distribution has a mean of = 54 and...Ch. 7 - A population has a mean of = 30 and a standard...Ch. 7 - For random samples of size n = 16 selected from a...Ch. 7 - The distribution exam grades for an introductory...Ch. 7 - By definition, jumbo shrimp are those that require...Ch. 7 - For a population with a mean of = 72 and a...Ch. 7 - For a population with = 16, how large a sample is...Ch. 7 - If the population standard deviation is = 10, how...Ch. 7 - Junes, Thomas, and Piper (2003) conducted a study...Ch. 7 - A normal distribution has a mean of = 60 and a...Ch. 7 - A random sample is obtained from a normal...Ch. 7 - A sample of n= 36 scores is selected from a normal...
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