mean 176 and standard deviation, σ.(Case A) Repeatedly take samples of size 28 from this population and in each case compute the sample mean, . Let x-bar(A)and sigma(A) be respectively the mean and the standard deviation of these sample means.(Case B) Repeatedly take sample of size 64 from this population and in each case compute the sample mean, . Let x-bar(B) and sigma(B) be respectively the mean and the standard deviation of these sample means.1)Choose the most appropriate option. sigma(A) greater than sigma(B)sigma (A) not less than sigma (B)sigma (A) lessthan sigma (B)sigma (A)= sigma (B)2)If the population standard deviation, σ, is 32, then 95% of the sample means in case B fall in this interval. (168,184), (171,181),(164,188),(172,180)3)In case B, the percent of the sample means that are less than 177.2 is0.6179, 0.7376, 0.7257, 0.7179

Given: mean=176 and standard deviation, σ. In case A: sample size=28, In case B: sample size=64, As…

Answered: mean 176 and standard deviation, σ.…

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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mean 176 and standard deviation, σ.

(Case A) Repeatedly take samples of size 28 from this population and in each case compute the sample mean, . Let x-bar(A)and sigma(A) be respectively the mean and the standard deviation of these sample means.
(Case B) Repeatedly take sample of size 64 from this population and in each case compute the sample mean, . Let x-bar(B) and sigma(B) be respectively the mean and the standard deviation of these sample means.

1)Choose the most appropriate option.

sigma(A) greater than sigma(B)

sigma (A) not less than sigma (B)

sigma (A) lessthan sigma (B)

sigma (A)= sigma (B)

2)If the population standard deviation, σ, is 32, then 95% of the sample means in case B fall in this interval. (168,184), (171,181),(164,188),(172,180)

3)In case B, the percent of the sample means that are less than 177.2 is

0.6179, 0.7376, 0.7257, 0.7179

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