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n the following questions, random samples of the given size are drawn from populations with the given means and standard deviations. For each question, a) find the mean and standard error of the distribution of differences in sample means (x⎯⎯⎯1−x⎯⎯⎯2x¯1−x¯2), b) indicate if the sample size is large enough for the Central Limit Theorem to apply. Give your answers to 4 decimal places. Samples of size 80 from Population 1 with mean 16 and standard deviation 5.6 and samples of size 20 from Population 2 with mean 18 and standard deviation 9.5. Mean:  Std. Error:  Is the sample size large enough for the Central Limit Theory to apply? i. Yes     ii. No   Samples of size 1000 from Population 1 with mean 36 and standard deviation 8.5 and samples of size 1000 from Population 2 with mean 28 and standard deviation 6.7. Mean:  Std. Error:  Is the sample size large enough for the Central Limit Theory to apply? i. Yes     ii. No   Samples of size 30 from Population 1 with mean 36 and standard deviation 7 and samples of size 25 from Population 2 with mean 48 and standard deviation 5.8. Mean:  Std. Error:  Is the sample size large enough for the Central Limit Theory to apply?

n the following questions, random samples of the given size are drawn from populations with the given means and standard deviations. For each question, a) find the mean and standard error of the distribution of differences in sample means (x⎯⎯⎯1−x⎯⎯⎯2x¯1−x¯2), b) indicate if the sample size is large enough for the Central Limit Theorem to apply. Give your answers to 4 decimal places. Samples of size 80 from Population 1 with mean 16 and standard deviation 5.6 and samples of size 20 from Population 2 with mean 18 and standard deviation 9.5. Mean:  Std. Error:  Is the sample size large enough for the Central Limit Theory to apply? i. Yes     ii. No   Samples of size 1000 from Population 1 with mean 36 and standard deviation 8.5 and samples of size 1000 from Population 2 with mean 28 and standard deviation 6.7. Mean:  Std. Error:  Is the sample size large enough for the Central Limit Theory to apply? i. Yes     ii. No   Samples of size 30 from Population 1 with mean 36 and standard deviation 7 and samples of size 25 from Population 2 with mean 48 and standard deviation 5.8. Mean:  Std. Error:  Is the sample size large enough for the Central Limit Theory to apply?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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In the following questions, random samples of the given size are drawn from populations with the given means and standard deviations. For each question, a) find the mean and standard error of the distribution of differences in sample means (x⎯⎯⎯1−x⎯⎯⎯2x¯1−x¯2), b) indicate if the sample size is large enough for the Central Limit Theorem to apply. Give your answers to 4 decimal places.

  1. Samples of size 80 from Population 1 with mean 16 and standard deviation 5.6 and samples of size 20 from Population 2 with mean 18 and standard deviation 9.5.
    1. Mean:  Std. Error: 
    2. Is the sample size large enough for the Central Limit Theory to apply?
      i. Yes     ii. No

     

  2. Samples of size 1000 from Population 1 with mean 36 and standard deviation 8.5 and samples of size 1000 from Population 2 with mean 28 and standard deviation 6.7.
    1. Mean:  Std. Error: 
    2. Is the sample size large enough for the Central Limit Theory to apply?
      i. Yes     ii. No

     

  3. Samples of size 30 from Population 1 with mean 36 and standard deviation 7 and samples of size 25 from Population 2 with mean 48 and standard deviation 5.8.
    1. Mean:  Std. Error: 
    2. Is the sample size large enough for the Central Limit Theory to apply?
      i. Yes     ii. No
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