Reference no: EM132256106
Question 1 - Research Question
The following question involves learning/employing research skills in searching out data on the Internet.
Search the Internet for the latest figures you can find to answer the following questions:
1. What is the average age of the Australian population?
2. What is the average age to die in Australia (for both men and women)?
3. What percentage of people work in Australia?
Question 2- Statistical Decision Making and Quality Control
Show all calculations/reasoning.
(a) A company wishes to set control limits for monitoring the direct labour time to produce an important product. Over the past the mean time has been 30 hours with a standard deviation of 6 hours and is believed to be normally distributed. The company proposes to collect random samples of 64 observations to monitor labour time.
1. If management wishes to establish x-bar control limits covering the 95% confidence interval, calculate the appropriate UCL and LCL.
2. If management wishes to use smaller samples of 9 observations calculate the control limits covering the 95% confidence interval.
(b) Hypothesis testing
The average age of employees at Sturt Ltd is 42. In a retrenchment, 49 persons were laid-off. Their mean age was 45. The Equal Opportunity Commission claimed that Sturt was guilty of age discrimination because it had laid-off older than average workers.
Is the information sufficient evidence to support the claim of age discrimination if σ (sigma) = 10.8 years? Use α = 0.05.
1. Show the null and alternative hypotheses.
2. Calculate the critical value (actual value or Z-value).
3. Sketch the situation, showing the critical value and the reject region (in terms of actual values or Z-values).
4. Explain your conclusion.
Attachment:- Assignment Files.rar