### IQ scores are normally distributed with a mean of 100 and a standard deviation of 17 .

#### Description

IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample.a. If the sample size is n=49 find the mean and standard deviation of the distribution of sample means. Round to the nearest tenth.b. If the sample size is n=121, find the mean and standard deviation of the distribution of sample means. Round to the nearest tenth.c. Why is the standard deviation in part a different from the standard deviation in part b? Choose the correct answer below.A.With smaller sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation.B.With larger sample sizes (as in part b), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation.C.With larger sample sizes (as in part b), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation.D.With smaller sample sizes (as in part a), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation.

#### Question

IQ scores are normally distributed with a mean of 100 and a standard deviation of 17 .

- Written in: 17-Oct-2019
- Paper ID: 5914267

*$ 15*

#### Use the Order Now button below to Place a New Order for an Original, High-Quality Paper that passes all Plagiarism Checkers

### About this Question

STATUSApproved

DATE ANSWEREDOct 17, 2019

EXPERTN/A

ANSWER RATING