Posted by **T** on Sunday, February 27, 2011 at 4:06pm.

The population of SAT scores forms a normal distribution with a mean of µ =500 and a standard deviation of σ =100. If the average SAT score calculated for a sample of n = 25 students,

a. What is the probability that the sample mean will be greater than M= 510. In symbols, what is p (M >520?

b. What is the probability that the sample mean will be greater than M = 520. In symbols, what is p (M>520?

c. What is the probability that the sample mean will be between M =510 and M = 520? In symbols, what is p (510 < M < 520?

- statistics -
**PsyDAG**, Monday, February 28, 2011 at 10:51am
Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√(n-1)

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.

## Answer this Question

## Related Questions

- probability and statistics - the population of sat scores forms a normal ...
- statistics - Suppose a population distribution of SAT scores has population mean...
- statistics - The distribution of scores on the SAT is approx. normal with mu= ...
- statistics - sat scores around the nation tend to have a mean score of about 500...
- stats - SAT math scores approx. follow a normal distribution, with mean 500 and ...
- statistics - Suppose scores on the mathematics section of the SAT follow a ...
- statistics - The mean of math SAT scores is 500 and the standard deviation is ...
- statistics - Suppose scores on the mathematics section of the SAT follow a ...
- statistics - what are the mean and standard deviation of a sampling distribution...
- statistics - Sat scores l around the nation tend to have a mean score around 500...

More Related Questions