Download GTU MBA 2016 Winter 1st Sem 2810007 Quantitative Analysis I Question Paper

FirstRanker.com

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA - SEMESTER 01- EXAMINATION - WINTER 2016

--- Content provided by​ FirstRanker.com ---

Subject Code:2810007 Date: 02/01/2017

Subject Name: Quantitative Analysis-I

Time: 10.30 a.m. to 01.30 p.m. Total Marks: 70

Instructions:

1. Attempt all questions.

--- Content provided by⁠ FirstRanker.com ---

2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Scientific calculator & statistical table (Z, t, F & chi square) are permitted.

Q.1 (a) Answer all the following multiple choice questions. 06

1. The rejection and not rejection regions are divided by a point called the
   

   --- Content provided by​ FirstRanker.com ---

   A. Divisional value B. Critical value
   C. Rejection value D. Table value
2. The matched-pairs t test deals with
   A. Independent samples B. Average sample
   C. Large sample D. Related sample

--- Content provided by‍ FirstRanker.com ---

3. Analysis of variance tests use the
   A. Z distribution B. t- distribution
   C. A distribution D. F distribution
4. A measure of the degree of relatedness of two variables is .
   A. Regression B. Correlation
   

   --- Content provided by FirstRanker.com ---

   C. Degree of association D. Least square relationship
5. In regression, the predictor is called the .
   A. Dependent variable B. Independent variable
   C. Standard error D R square
6. In regression analysis, R is also called the .
   

   --- Content provided by‌ FirstRanker.com ---

   A. Residual B. Co efficient of correlation
   C. Error D. Co efficient of determination

Q.1 (b) Define the following terms. 04

1. Mode
2. Co efficient of skewness

--- Content provided by FirstRanker.com ---

3. Independent events
4. Kurtosis

Q.1 (c) Explain Empirical rule for normally distributed data. 04

Q.2 (a) What is correlation? Determine the value of the coefficient of correlation for the 07 following data.

X 158 296 87 110 436

--- Content provided by FirstRanker.com ---

(b) According to the labor statistics in India, 75 % of the women of 25 to 50 years age 07 group participate in labor force. Suppose 78 % of the women in that age group are married. Suppose also that 61% of all women of 25 to 50 years age group are married and are participating in the labor force.

What is the probability that a randomly selected woman in that age group is married or participating in the labor force? What is the probability that a randomly selected woman in that age group is neither married nor participating in the labor force?

OR

In a manufacturing plant, machines A, B, and C all produce the same two parts, W and M. Of all the parts produced, machine A, produces 60 %, machine B produces 30 % and machine C produces 10 %. 40 % of the parts made by machine A are part W. 50 % of the parts made by machine B are part W and 70 % of the parts made by machine C are part W. A part produced by this company is randomly selected and is determined to be a W part. With the knowledge that it is an W part, revise the probabilities that the part came from machine A, B or C.

--- Content provided by⁠ FirstRanker.com ---

Q.3 (a) Explain mean, standard deviation, length of uniform distribution, height of uniform distribution and probabilities of uniform distribution. 07

(b) The Retail world lists the top 17 Indian retailers in annual sales. Star bazzar is number one followed by Big bazzar and Reliance Mart. Of the 17 retailers on the list, eight are in some type of private label related business. Suppose four firms are randomly selected. What is probability that none of the retailers are in some type of private label business? What is the probability that all four firms are in some type of private label business? 07

OR

Discuss any two non probability sampling methods. 07

Q.4 (a) Suppose the average speeds of passenger trains traveling from Delhi to Ahmedabad are normally distributed. The mean average speed of 88 miles per hour and a standard deviation of 6.4 miles per hour. What is the probability that a train will average less than 70 miles per hour? What is the probability that a train will average more than 80 miles per hour? What is the probability that a train will average between 90 and 100 miles per hour? 07

--- Content provided by⁠ FirstRanker.com ---

(b) Explain Co efficient of Determination and Standard error of estimate. 07

OR

A major auto manufacturer wants to know whether there is any difference in the average mileage of four different brands of tires, because the manufacturer is trying to select the best supplier in terms of tire’ durability. The manufacturer selects comparable levels of tires from each company and test some on comparable cars. The mileage results follow.

Brand A 31000, 25000, 28000, 29000, 32000, 27500
Brand B 24000, 25500, 27000, 26500, 25000, 28000, 27500

--- Content provided by‌ FirstRanker.com ---

Use 0.05 significance level to test whether there is a significant difference in the mean mileage of these four brands. Assume tire mileage is normally distributed.

Q.5 (a) Discuss the application of regression analysis in detail. 07

OR

--- Content provided by FirstRanker.com ---

Are the type of professional jobs held in the computing industry independent of the number of years a person has worked in the industry? Suppose 246 workers are interviewed. Use the results obtained to determine whether type of professional job held in the computer industry is independent of years worked in the industry. Use 0.01 significance level.

Professional positions

(b) The Environment protection agency (EPA) releases figures on urban air soot in selected cities in the India. For the city of Mumbai, the EPA claims that the average number of micrograms of suspended particles per cubic meter of air is 82. Suppose Mumbai officials have been working with businesses, commuters and industries to reduce this figure. These city officials hire an environmental company to take random measures of air soot over a period of several weeks. The resulting data from 32 measurements mention here.

81.6 66.6 70.9 82.5 58.3 71.6 72.4 96.6 78.6 76.1 80.0 73.2 85.5 73.2 68.6 61.7
74.0 68.7 83.0 86.9 94.9 75.6 77.3 86.6 71.7 88.5 87.0 72.5 83.0 85.8 74.9 92.2

--- Content provided by FirstRanker.com ---

Use these data to determine whether the urban air soot in Mumbai is significantly lower than it was when the EPA conducted its measurements. Use alpha 0.01. 14

OR

Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet program. The following table is the cholesterol readings of the 11 employees both before the new diet and one month after use of the diet program.

Make the statement of hypothesis. Test the hypothesis that the program was successful with its objective. Use 5 % significance level to test the hypothesis. Assume the differences in cholesterol readings are normally distributed in the population. 14

FirstRanker.com

--- Content provided by​ FirstRanker.com ---