Question 1: Using the National League workbook and the procedure to select a simple random sample (RAND function explained in textbook and in a class lecture) select a simple random sample of 5 teams.

Question 2: The following data are from a simple random sample.
5 8 10 7 12 15 14 9 10 11
a. What is the point estimate of the population mean?
b. What is the point estimate of the population standard deviation?

Question 3: Using the MetAreas.xls Excel workbook which includes 100 metropolitan areas.
a. Select a simple random sample of 50 metropolitan areas.
b. Using your sample of 50 areas, develop a point estimate of the mean for the variable Rating.
c. Using your sample of 50 areas, develop a point estimate of the population standard deviation for the variable Rating.
d. Using your sample of 50 areas, develop a point estimate of the proportion having a voter majority as Democrat.

Question 4: Suppose a random sample of size 50 is selected from a population with a standard deviation equal to 10. Find the value of the standard error of the mean in each of the following cases (use finite population correction factor if appropriate).
a. The population size is N = 50,000.
b. The population size is N = 5,000.
c. The population size is N = 500.

Question 5:
The state of California (CA) has a mean annual rainfall of 22 inches and the state for New York (NY) has mean annual rainfall of 42 inches.

Assume that the standard deviation for CA is 4 inches of rain and for NY it is 3 inches.

A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken.
a. Determine the probability distribution (standard error) for the sample mean annual rainfall for New York.
b. What is the probability that the sample mean is within 2 inches of the population mean for California?
c. What is the probability that the sample mean is within 2 inches of the population mean for New York?
d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 2/1 inch of the population greater? Why?

Question 6: A population proportion is 0.40. A random sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion.
a. What is the probability that the sample proportion will be within + 0.05 of the population proportion?
b. What is the probability that the sample proportion will be within + 0.02 of the population proportion?

Question 7: People throw away 14% of what they buy at the grocery store. Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. Use five (5) decimal places while working on Question 7.
a. Determine the sampling distribution of a p, the proportion of groceries thrown out by your sample respondents.
b. What is the probability that your survey will provide a sample proportion within + .02 of the population proportion?
c. What is the probability that your survey will provide a sample proportion within + .015 of the population proportion?

Question 1: Using the National League workbook and the procedure to...