# math check and help

posted by .

A certain population has a mean of 472 and a standard deviation of 40. Many samples of size 46 are randomly selected and the means calculated.
(a) What value would you expect to find for the mean of all these sample means? (Give your answer correct to nearest whole number.)
472 .

(b) What value would you expect to find for the standard deviation of all these sample means? (Give your answer correct to two decimal places.)
6.78

• math check and help -

a) correct

b) SEm = SD/√n = 40/√46 = 40/6.7823 = 5.8977 = 5.90

## Similar Questions

1. ### stats

Consider an infinite population with 25% of the elements having the value 1, 25% the value 2, 25% the value 3, and 25% the value 4. If X is the value of a randomly selected item, then X is a discrete random variable whose possible …
2. ### Statistics

1. The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 60 students who took the exam is selected for …
3. ### Statistics

This is the first question..... For a population that has a standard deviation of 10, figure the standard deviation of the distribution of means for samples of size- (b) 3. This is the second question....For each of the following samples …
4. ### statistics

Suppose a population distribution of SAT scores has population mean 500 and population standard deviation 100. What is the mean of the sampling distribution of sample means, ybar , calculated from samples of size n = 36
5. ### sample size/ standard deviations

How do we compute sample size fluctuations?
6. ### statistics

IQ scores are normally distributed with a mean of 105 and a standard deviation of 18. Assume that many samples of size n are taken form a large population of people and the mean IQ score is computed for each sample. If the sample size …
7. ### math

Describe the distribution of sample means (shape, expected value, and standard error) for samples of n  36 selected from a population with a mean of μ  100 and a standard deviation of   12.
8. ### Math help

Can someone give me simple formulas for the below problems. What I found is too confusing. A sample of 145 values is randomly selected from a population with mean, ì, equal to 45 and standard deviation, ó, equal to 23. (Give your …
9. ### math

A sample of 145 values is randomly selected from a population with mean, ì, equal to 45 and standard deviation, ó, equal to 23. (Give your answers correct to one decimal place.) (a) Determine the interval (smallest value to largest …
10. ### Statistics

The number of books sold over the course of the three-day book fair were: 365, 303, 401. Assume that samples of size 2 are randomly selected with replacement from this population of three values. a. List the different possible samples, …

More Similar Questions