multiple choice question on sampling


Multiple Choice question on sampling distribution.

1. Find the mean of the sampling distribution if the population's mean and standard deviation is given by: μ =4, σ = 3 and n = 36
a.4
b.2
c.1

2. Find standard error of the sampling distribution if the population's mean and standard deviation is given by: μ =4, σ = 3 and n = 36
a.3
b.1
c.0.5

3. ACE Temp Service Company has found that the mean time required for a job applicant to take an aptitude test is 24.5 minutes, with a standard deviation of 4.5 minutes. What is the mean of the sampling distribution of samples of size 81?
a.24.5
b.12.25
c.22

4. ACE Temp Service Company has found that the mean time required for a job applicant to take an aptitude test is 24.5 minutes, with a standard deviation of 4.5 minutes. What is standard error of the sampling distribution of samples of size 81?
a.4.5
b.9
c.0.5

5. A random sample of 81 files were randomly selected, what is the probability the mean time applicants need for taking the test is greater than 25 minutes?
a.0.3413
b.0.1587
c.0.4722

6. Of the 2500 middle managers in a large company, 60% hold M.B.A. degrees. You select a random sample of 81 of them. What is the probability that the proportion in the sample with M.B.A. degrees is between 59.5% and 60.5%?
a.0.0718
b.0.0398
c.0.1538

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Mathematics: multiple choice question on sampling
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