Address the following questions:
1. The Democrat and Chronicle reported that 25% of the flights arriving at the San Diego airport during the first five months of 2001 were late (Democrat and Chronicle), July 23, 2001). Assume the population proportion is p = .25
A. Show the sampling distribution of _ , the proportion of late flights in a sample of1000flights
P
B. What is the probability that the sample proportion will be within .03 of the population proportion if a sample of size 1000 is selected?
C. Answer part (b) for a sample of 500 flights.
2. The mean television viewing time for Americans is 15 hours per week (Money, November 2003.) Suppose a sample of 60 Americans is taken to further investigates viewing habits.
Assume the population standard deviation for weekly viewing time is = 4 hours.
A. What is the probability the sample mean will be within 1 hour of the population mean?
B. What is the probability the sample mean will be within 45 minutes of the population mean?