# MS-08 Dec 2012 Quantitative Analysis for Managerial Applications

1. A tour operator charges Rs 136 per passenger for 100 passengers with a discount of Rs 4 each for 10 passengers in excess of 100. Determine the number of passengers that will maximize the amount of money the tour operator receives.

2. Calculate Bowley’s coefficient of skewness (based on quartiles) from the following data

 Weight (lbs) No. of students Weight (lbs) No. of students 70-80 12 110-120 50 80-90 18 120-130 45 90-100 35 130-140 20 100-110 42 140-150 8

3. A normal curve has mean=20 and standard deviation = 10. Find the area between x1=15 and x2=40.

4. A simple random sample of the height of 6400 Englishmen has a mean of 67.85” and a standard deviation of 2.56” while a simple random sample of heights of 1600 Austrians has a mean of 68.55” and standard deviation of 2.52”. Do the data indicate that the Austrians are on average taller than the Englishmen? Give reasons for your answer.

5. Write short notes on:
a) One-tail & two-tail tests
b) Moving average models
c) Standard error of the slope