Would you be able to baby step walk me through the formulas needed to solve this problem? ie; step 1, step 2, etc. Maybe you could use a similar problem to this one so I can at least understand the process I need to do to get this answer? This book I have does not simplify and step through the method for solving this in a way that I can understand. I have other similar questions, and if I understand this one I might be able to do the rest.

SAT Scores and the Central Limit Theorem. Assume that SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. Suppose that many samples of size n are taken from a large population of students and the mean SAT score is computer for each sample. Find the mean and standard deviation of the resulting distribution of sample means for n = 100 and for n = 400. Briefly explain why the standard deviation is different for the two values of n.

Solution Summary

This solution uses the mean of the sample, standard deviation, and distribution to determine sample mean and deviation for n=100 and n=400. All steps are shown and brief explanations.

... By the Central Limit Theorem (as n=75>30), roughly follows a normal distribution with a ... sample of 75 students will provide a sample mean Sat score within 20 of ...

... A simple random sample of 225 SAT scores has a sample mean of 1500 and a sample standard ... I will use normal distribution because I apply central limit theorem. ...

... and a standard deviation of 2.5 in., can she use the central limit theorem when analyzing the ... From this z score sitting distance at 5th percentile is calculated ...

... provide enough evidence to support the claim that the mean score on the math portion of the SAT ≠ 496 ...Central Limit Theorem Midpoint Sampling distribution. ...

... As sample sizes get larger, the Central Limit Theorem equalizes the t ... administrator says that the standard deviation of SAT verbal test scores is 105. ...

... For example, the SAT's traditional range of 200 ... grades based on a normal distribution of scores. ... be practically normal according to the central limit theorem. ...

... a sample mean Sat score within 10 of the population mean? σ N µ, Since the sample size is fairly large, by Central Limit Theorem, X . n ...

... system or organization outlives the individual that sits in the ... it is impossible to get fast results or elicit ... There is a central authority but authority also ...