Estimadores puntuales

1 A sample of size 100,000 is selected from a population with p = .75

What is the expected value of p bar?

1 A sample of size 100,000 is selected from a population with p = .75

What is the standard error of p bar? (remember use 4 decimal positions)

1 A sample of size 100,000 is selected from a population with p = .75

Show the sampling distribution of p bar? ( write as statistical notation as N(m,s) or Bin(n,p) etc )

1 What does the sampling distribution of p bar shows? Select all the correct answers

• It shows the probability distribution of all possible sample proportions that can be observed with random samples of size 100,000.

• This distribution can be used to compute the probability that p bar is within a specified interval ± from p.

• It shows the probability distribution of this specific sample proportion that can be observed with random samples of size 100,000.

• This distribution can NOT be used to compute the probability that p bar is within a specified ± from p.

2 Vacation Hours Earned by Blue-Collar and Service Employees. The U.S. Bureau of Labor Statistics (BLS) reported that the mean annual number of hours of vacation time earned by blue-collar and service employees who work for small private establishments and have at least 10 years of service is 100. Assume that for this population the standard deviation for the annual number of vacation hours earned is 48. Suppose the BLS would like to select a sample of 15,000 individuals from this population for a follow-up study.

What is the expected value of the mean of the distribution of x bar?

2 Vacation Hours Earned by Blue-Collar and Service Employees. The U.S. Bureau of Labor Statistics (BLS) reported that the mean annual number of hours of vacation time earned by blue-collar and service employees who work for small private establishments and have at least 10 years of service is 100. Assume that for this population the standard deviation for the annual number of vacation hours earned is 48. Suppose the BLS would like to select a sample of 15,000 individuals from this population for a follow-up study.

What is the expected value of the standar error of the distribution of x bar? (use 4 decimals)

2 Vacation Hours Earned by Blue-Collar and Service Employees. The U.S. Bureau of Labor Statistics (BLS) reported that the mean annual number of hours of vacation time earned by blue-collar and service employees who work for small private establishments and have at least 10 years of service is 100. Assume that for this population the standard deviation for the annual number of vacation hours earned is 48. Suppose the BLS would like to select a sample of 15,000 individuals from this population for a follow-up study.

What is the probability that a simple random sample of 15,000 individuals from this population will provide a sample mean that is within ONE hour of the population mean?