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
Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by

1. Calculate the mean and mode of: Central size 15 25 35 45 55 65 75 85 Frequencies 5 9 13 21 20 15 8 3 The following data shows the monthly expenditure of 80 students of


Example of discrete random variable: 1. What is a discrete random variable? Give three examples from the field of business. 2. Of 1000 items produced in a day at XYZ Manufa

Chebychev inequality


#There were three types of food, and the researcher recorded which foods were bought. Peanut Butter Banana Hamburger 15

(a) Elevation (m) 0 400 800 1200 1600 2000 2400 2800 3200 4000 480

Under the standard cost method which is also referred as the standard cost method ,stock receipts are assigned a standard cost. Any variations between the actual cost and standard

a) What is meant by secular trend? Discuss any two methods of isolating trend values in a time series.