Question

SUBJECT : Quantitative Techniques (MBA)

Question 1

The Inland Revenue Board says that the average income in Taiping is RM15000. A sample of 45 people found that their mean income to be RM14300 with a standard deviation of RM2000. (a) Use a 5% significance level to check the claim. [18 marks]

(b) Test the effect of using a 1% significance level. [8 marks]

(c) If there is a difference in the two test results, explain the reason for the difference. [6 marks]

Question 2

A delivery company charges customers a flat rate for delivery based on a mean weight for packages of 1.75 kg with a standard deviation of 0.5 kg. Postage costs have risen and it seems likely that the mean weight is greater than 1.75 kg. The company checked a random sample of 100 packages and found a mean weight of 1.86 kg. Test the notion that the mean weight is more than 1.75 kg. [18 marks]

Question 3

You are a management consultant who has recently introduced a new procedure to a reception office. The receptionist should do at least 10 minutes of paperwork in each hour. You made a check on 40 random hours of work and found that the mean time spent on paperwork is 8.95 minutes with a standard deviation of 3 minutes. Test to see if the new procedure meets specifications at a 1% level of significance. [18 marks]

Answer 1