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Question No. 1 (for the variance, research for the formula) Suppose that we will take a random sample of size n from a population having mean țu and standard deviation a. For each of the following situations, find the mean, variance, and standard deviation of the sampling đistribution of the sample mean X: a u = 10, o = 2, n= 25 bu = 500, o = .5, n = 100 CH = 3, o = .1, n=4 du = 100, o= 1, n=1,600

Question No. 1 (for the variance, research for the formula) Suppose that we will take a random sample of size n from a population having mean țu and standard deviation a. For each of the following situations, find the mean, variance, and standard deviation of the sampling đistribution of the sample mean X: a u = 10, o = 2, n= 25 bu = 500, o = .5, n = 100 CH = 3, o = .1, n=4 du = 100, o= 1, n=1,600

MATLAB: An Introduction with Applications
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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Answer the following questions. It is much better to submit using an MS Excel file. Segregate each item using sheets. Question No. 1 (for the variance, research for the formula) Suppose that we will take a random sample of size n from a population having mean u and standard deviation o. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean T: aμ= 10 , σ=2, n = 25 bu = 500, o= .5, n = 100 Cu = 3, o =.1, n = 4 du= 100, o= 1, n = 1,600 Question No. 2 Suppose that we will randonmly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. a Describe the shape of the sampling distribution of the sample mean T. Do we need to make any assumptions about the shape of the population? Why or why not? b Find the mean and the standard deviation of the sampling distribution of the sample mean I. Question No. 3 If the sample size n is large, the sampling distribution of p is approximately a normal distribution. What condition must be satisfied to guarantee that n is large enough to say that p is approximately normally distributed? Question No. 4 In each of the following cases, determine whether the sample sizen is large enouglh to say that the sampling distribution of p is a normal distribution. a p= 4, n = 100 b p = .1, n = 10 C P=.1, n = 50 d p= .8, n = 400 e p= .98, n = 1,000 f p= .99, n = 400
Transcribed Image Text:Answer the following questions. It is much better to submit using an MS Excel file. Segregate each item using sheets. Question No. 1 (for the variance, research for the formula) Suppose that we will take a random sample of size n from a population having mean u and standard deviation o. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean T: aμ= 10 , σ=2, n = 25 bu = 500, o= .5, n = 100 Cu = 3, o =.1, n = 4 du= 100, o= 1, n = 1,600 Question No. 2 Suppose that we will randonmly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. a Describe the shape of the sampling distribution of the sample mean T. Do we need to make any assumptions about the shape of the population? Why or why not? b Find the mean and the standard deviation of the sampling distribution of the sample mean I. Question No. 3 If the sample size n is large, the sampling distribution of p is approximately a normal distribution. What condition must be satisfied to guarantee that n is large enough to say that p is approximately normally distributed? Question No. 4 In each of the following cases, determine whether the sample sizen is large enouglh to say that the sampling distribution of p is a normal distribution. a p= 4, n = 100 b p = .1, n = 10 C P=.1, n = 50 d p= .8, n = 400 e p= .98, n = 1,000 f p= .99, n = 400
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