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
Evaluate Gross Reproduction Rate: From the data given below compute : i)   General  Fertility  Rate ii)  Specific  Fertility  Rate iii)  Total  Fertility  Rate iv)

The Harmonic Mean is based on the reciprocals of numbers averaged. It is defined as the reciprocal of the arithmetic mean of the reciprocal of the given individual observations. Th

Accident proneness  A personal psychological issue which affects the individual's probability of suffering the accident. The concept has been studied statistically under the num

1) Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative that the response for A tend to be larger than those of B. You plan to

what is the use of applied statistic in our daily routin life

In a study of outcomes for patients who had been in the Intensive care Unit (ICU) at a large hospital, the records from last 150 patients who had been in the ICU for more than one

Central Tendency and Dispersion in Statistics: Write a note on the following : i)    What is the importance of Measures Of Central Tendency and Dispersion in Statistics ?

b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y

Your company operates a machine shop, and, having heard you had experience in statistics and design of experiments, consulted you for your opinion on an experiment they want to run

Create the Venn diagram: A   - you work for an insurance company.  80% of your company's staff is sales force and 70% of your company's sales is force is male. in your company