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Calculating the mean and standard error in the given cases

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1. Find the mean of the sampling distribution of the sample size n = 36 if the population mean is 4 and the standard deviation is 3.
Choose one answer.
A. 4
B. 2
C. 1

2. Find the standard error of the sampling distribution of the sample size n = 36 if the population's mean is 4 and the standard deviation is 3.
Choose one answer.
A. 3
B. 1
C. 0.5

Question 3
Marks: 1 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 sample size 81?
Choose one answer.
A. 24.5
B. 12.25
C. 22

Question 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 the standard error of the sampling distribution of sample size 81?
Choose one answer.
A. 4.5
B. 9
C. 0.5

Question 5
A random sample of 81 files was randomly selected. What is the probability that the mean time applicants need for taking the test is greater than 25 minutes?
Choose one answer.
A. 0.3413
B. 0.1587
C. 0.4722

Question 6
Of the 2500 middle managers in a large company, 60% of them 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%?
Choose one answer.
A. 0.0718
B. 0.0398
C. 0.1538

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Solution Summary

Solutions to given problems explain the methodology to calculate the mean and standard error of sampling distribution in the given cases. Solutions are derived by using standard formulas.

Solution Preview

1. Mean of the sampling distribution is the same as the population mean. So, the correct answer is A i.e. 4

2. Population standard deviation=3
Sample size=36
Standard error of sampling distribution=Population standard deviation/square root of sample size
=3/36^0.5
=0.5
Correct option is C i.e. ...

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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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