These are several sampling questions. I need to know the answer, but most importantly how to solve these.
Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than 30 of those in the sample have a computer at home?
Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. If 10% of the 5,000 payroll vouchers issued since January 1, 2000, have irregularities, the probability that Pinky's random sample of 200 vouchers will have a sample proportion greater than .06 is
Catherine Chao, Director of Marketing Research, needs a sample of Kansas City households to participate in the testing of a new toothpaste package. If 40% of the households in Kansas City prefer the new package, the probability that Catherine's random sample of 300 households will have a sample proportion greater than 0.45 is ___________.
Suppose samples of size 49 are drawn randomly from a population that has a mean of 300 and a standard deviation of 35. What are the values of the mean and the standard deviation of the distribution of the sample means?
Suppose samples of size 49 are drawn randomly from a population that has a mean of 300 and a standard deviation of 35. What is the probability of observing a sample mean equal to or greater than 310?
If 10% of the parts produced from a manufacturing process are defective, what is the probability that there are 15 or more defectives in a random sample of 100 items?