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.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?i. Yes ii. No

Mean is the average of all the observations in the data set. Mean difference is calculated by…

Answered: n the following questions, random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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
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
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