Distribution of sample means, Applied Statistics

1. Use the concepts of sampling error and z-scores to explain the concept of distribution of sample means.

2. Describe the distribution of sample means shape for samples of n=36 selected from a population with a mean of μ=100 and a standard deviation of o=12.  , expected value, and standard error)

3. The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?

4. For a population with a mean of μ=70 and a standard deviation of o=20, how much error, on average, would you expect between the sample mean (M) and the population mean for each of the following sample sizes?

a. n=4 scores

b. n=16 scores

c. n=25 scores

5. If the population standard deviation is o=8, how large a sample is necessary to have a standard error that is:

a. less than 4 points?

b. less than 2 points?

c. less than 1 point?

6. For a population with a mean of μ=80 and a standard deviation of o=12, find the z-score corresponding to each of the following samples.

a. M=83 for a sample of n=4 scores

b. M=83 for a sample of n=16 scores

c. M=83 for a sample of n=36 scores

7. A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For each of the following samples, compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size.

a. M=84 for n=9 scores

b. M=84 for n=100 scores

Posted Date: 2/19/2013 12:04:32 AM | Location : United States







Related Discussions:- Distribution of sample means, Assignment Help, Ask Question on Distribution of sample means, Get Answer, Expert's Help, Distribution of sample means Discussions

Write discussion on Distribution of sample means
Your posts are moderated
Related Questions
Problem : A company supplying electrical products, places a rush order for electric wires. Consignments of wires are to be sent immediately when they are available. Previous

The data in the data frame compensation are from Myers (1990), Classical andModern Regression with Applications (Second Edition)," Duxbury. The response y here is executive compens

Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Estimate the standard deviation of the process: Draw the X (bar) and R charts for the data given and give your comments about the process under study. Estimate the standard de

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Assumption of extrapolation


method for solving assingnment problem

Analysis of Variance for the data: Draw a random sample of size 25 from the following data : (a) With Replacement and   (b) Without Replacement and obtain Mean and Varia

Suppose that in the actual survey of 50 prospective customers, 6 subscribe to the 3 for all offer, what does this tell you about the previous estimate of the proportion of customer