1.use the normal distribution of SAT critical reading scores of which the mean is 507 and the standard deviation is 120. Assume the variable x is normally distributed.

(a)What percent of the STAT verbal scores are less than 625?

(b)If 1000 SAT verbal are randomly selected, about how many would you expect to be greater than 525?

2.A population has a mean mu=80 and a standard deviation sigma=12. find the mean and standard deviation of a sampling distribution of sample means with sample size n=36.

Mu^x=___ (simplify your answer)

3.Find the probability and interpret the results. If convenient, use technology to find probability.

The population mean annual salary of environmental compliance specialists is about $60,000. A random sample of 38 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume sigma=$5,800.

The probability that the mean salary of the sample is less than $57,000 is ___ (round to four decimal places as needed)

4.The mean height of women is a country (20-29) is 63.7 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume sigma=2.75

The probability that the mean height for the sample is greater than 64 inches is ___. (round to four decimal places as needed)