Assignment
1. The SAT test scores have an average value of 1200 with a standard deviation of 60. A random sample of 40 scores is selected for study.
A) What is the shape, mean(expected value) and standard deviation of the sampling distribution of the sample mean for samples of size 40?
B) What is the probability that the sample mean will be larger than 1225?
C) What is the probability that the sample mean will fall within 5 points of the population mean?
D) What is the probability that the sample mean will be less than 1180?
2. Assume that the population proportion of adults having a college degree is 0.48. A random sample of 250 adults is to be selected to test this claim.
A) What are the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 250?
B) What is the probability that the sample proportion will be less than 0.54?
C) What is the probability that the sample proportion will fall within 4 percentage points(+/- 0.04) of the population proportion?