I\'m currently in a statistics class and I have very poor math skills. I don\'t

Question

I'm currently in a statistics class and I have very poor math skills. I don't expect someone to give me the answer to any of the problems I'm supposed to answer, but I would appreciate it if someone could explain how to find the answers (how to do the math):

Question 1) For a population that has a standard deviation of 10, figure the standard deviation of the distribution of means for samples size of 3 (Again, I don't want you to answer it, I want to know how to find the answer myself). The book tells me the answer is 5.77, but someone here said the answer is 10/3. As you can imagine I am even MORE confused.

Question 2) This is a three part question: For each of the following samples that were given an experimental treatment, test whether these samples represent populations that are different from the general population:

a) a sample of 10 with a mean of 44
b) a sample of 1 with a mean of 48

Part three to question #2: The general population of individuals has a mean of 40, a standard deviation of 6, and follows a normal curve. For each sample, carry out a Z test using the five steps hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.

For your information, the text explains the five steps hypothesis testing as follows:

1) Restate the question as a research hypothesis and a null hypothesis about populations.
2) Determine the characteristics of the comparison distribution.
3) Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
4) Determine your sample's score on the comparison distribution.
5) Decide whether to reject the null hypothesis.

The answers are in my book, but I don't understand them. I want to get the most out of this statistics experience that I can. I just need someone to explain the process to me, not do it for me.

Thank You
Rocky

Explanation / Answer

1) the SD of sample means is just the SD of the population divided by the square root of the sample size Hope that helps.

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