Question 1 Every applicant for the open position took a test. Results of the test are close to the Normal distribution with mean μ = 200 and standard deviation σ =50.
Company decided to call for interview applicants who’s test score is on the top 20%.
What should be the minimum test score to be called for an interview?

 

 

 

 

 

 

 

 

 

 

 

Problem 2. Compute the 90% confidence interval for population mean based on the following sample data: 10, 17, 23, 26, 29, 30, 32, 33.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Problem 3. A sample mean is xÌ… = 120 and sample size is n = 51.
Estimate Confidence Interval for the population mean with Confidence Level 99% in two cases:

Case A: The standard deviation of the population is known, σ=20.

Tip: use z-factor from the Normal Distribution Table.

 

 

 

 

 

 

 

Case B: The standard deviation of the population is unknown,

but the sample standard deviation is given s=30.
Tip: use t-factor from the t-Distribution Table.

 

 

Problem 4. Random sample of 40 applicants showed that an average waiting time for load approval is xÌ… = 62 hours with a sample standard deviation s=24 hours.

Use Confidence Level 95% to find Margin of Error and Confidence Interval for the population mean of waiting time. 

 

 

 

 

 

 

 

 

 

 

 

Problem 5.  In a poll of n = 200 people has sample proportion of p_s = 0.67.  
Compute a 90% confidence interval for the population proportion.

 

 

 

 

 

 

 

 

 

                                          

 

 

 

Question 1 Every applicant for the open position took a test. Results of the test are close to the Normal distribution with mean μ = 200 and standard deviation σ =50.
Company decided to call for interview applicants who’s test score is on the top 20%.
What should be the minimum test score to be called for an interview?

 

 

 

 

 

 

 

 

 

 

 

Problem 2. Compute the 90% confidence interval for population mean based on the following sample data: 10, 17, 23, 26, 29, 30, 32, 33.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Problem 3. A sample mean is xÌ… = 120 and sample size is n = 51.
Estimate Confidence Interval for the population mean with Confidence Level 99% in two cases:

Case A: The standard deviation of the population is known, σ=20.

Tip: use z-factor from the Normal Distribution Table.

 

 

 

 

 

 

 

Case B: The standard deviation of the population is unknown,

but the sample standard deviation is given s=30.
Tip: use t-factor from the t-Distribution Table.

 

 

Problem 4. Random sample of 40 applicants showed that an average waiting time for load approval is xÌ… = 62 hours with a sample standard deviation s=24 hours.

Use Confidence Level 95% to find Margin of Error and Confidence Interval for the population mean of waiting time. 

 

 

 

 

 

 

 

 

 

 

 

Problem 5.  In a poll of n = 200 people has sample proportion of p_s = 0.67.  
Compute a 90% confidence interval for the population proportion.

 

 

 

 

 

 

 

 

 

 

 

 

AccountingQueen

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