Seat No.: Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
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MBA - SEMESTER I — EXAMINATION - SUMMER 2019
Subject Code:2810007 Date:22/05/2019
Subject Name: Quantitative Analysis-I
Time:02.30 PM To 05.30 PM Total Marks: 70
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1
- (a) Answer the following questions 6
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The simple probability of occurrence of an event is called the
A. Joint Probability B. Marginal probability
C. Conditional Probability D. Bayesian Probability
For two tail test of hypothesis, the acceptance region is the entire region
A. To right of negative critical value B. Between two critical values--- Content provided by FirstRanker.com ---
C. Outside the two critical values D To left of positive critical value
The central limit theorem assures us that the sampling distribution of the mean
A. Is always normal B. Is always normal for large sample
C. Approaches normality as sample D. Appears normal when n=1000
size increases--- Content provided by FirstRanker.com ---
A chi square test on a contingency table with four rows and four columns will have
degrees of freedom
A 16 B. 8
C. 6 D. 9
Which of the following is an example of a parameter?--- Content provided by FirstRanker.com ---
A X B. <<
C. N D. All of these
With lower significance level, the probability of rejecting a null hypothesis that is actually
true:
A. Decreases B. Increases--- Content provided by FirstRanker.com ---
C. Remains same D. None of these - (b) Discuss descriptive and inferential statistics. 4
- (c) What do you mean by skewness? Explain types of skewness with appropriate figures. 4
Q.2
- (a) Discuss basic levels of data measurement with appropriate examples. 7
- (b) A private sector bank conducted a survey to assess the investment intention of people 7
after the crash of share market in October 2008. In all, 70% people responded that they
will invest in government schemes, 65% responded that they will invest in mutual
funds. If a researcher selected 25 potential customers at random:
i. What is the probability that exactly 14 customers said that they will invest in--- Content provided by FirstRanker.com ---
government schemes?
ii. What is the probability that 10 or fewer customers will invest in government
investment schemes?
iii. What is the probability that more than 20 customers invest in Government
bonds?
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OR
- (b) A public interest group was planning to make a court challenge to auto insurance 7
rates in one of the three cities: A, B, or C. The prob. that it would select A was
0.40, B-0.35, and C is O.25. The group knows that it had a 45% chance of a
favorable ruling if it chose A, 60% if it chooses B and 35% if it chose C. If the--- Content provided by FirstRanker.com ---
group did receive favourable ruling, what is the probability that they choose (i) city
A, (ii) City B (iii) City C.
Q.3
- (a) Discuss characteristics of Uniform and Poisson distribution 7
- (b) A brand manager is concerned that her brand’s share may be unevenly distributed 7
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throughout the country. In a survey in which the country was divided into four
geographic regions, a random sampling of 100 consumers in each region was
surveyed , with the following results:
NE NW SE SW Purchase the brand 40 55 45 50 Do not purchase 60 45 55 50
Calculate the expected frequencies and test whether brand share is the same across--- Content provided by FirstRanker.com ---
the four regions. Use significance level of 0.05
OR
- (a) What is stratified sampling? How is it different from cluster sampling? 7
- (b) An insurance company has developed a training program that is entirely self- paced. In 7
last several years, the average completion of training program is 44 days with a--- Content provided by FirstRanker.com ---
standard deviation of 12 days.
(i) What is the probability an employee will finish the program in 33 to 42 days?
(ii) What the probability of finishing the program in fewer 30 days?
(iii) More than 60 days?
Q.4
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- (a) What are types of error in hypothesis testing? Discuss one tail and two tail test with 7
appropriate figures. - (b) Two research laboratories have independently produced drugs that provide relief to 7
arthritis patients. The first drug was tested on a group of 90 arthritis patients and
produced an average of 8.5 hours of relief and a standard deviation of 1.8 hour. The--- Content provided by FirstRanker.com ---
second drug was tested on 80 patients producing an average of 7.9 hours and a standard
deviation of 2.I hours. At the 0.05 level of significance, does the second drug provide a
significantly shorter period of relief?
OR
- (a) Explain in detail graphical representation of data. 7
- (b) A television documentary on overeating claimed that Indians are about 10 kgs 7
overweight on average. To test this claim, 18 randomly selected individuals were
examined, their average excess weight was found to be 12.4 kgs and the sample
standard deviation was 2.7 kgs. At significance level of 0.01, test the whether the
average excess weight is different from the claim.
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Q.5
An investment company is interested to know how interest rates are affecting the new 14
housing starts in the area To explore this question; the company has gathered data on
new housing starts during the past three quarters for the five surrounding regions. This
information is presented in the following table. At the 0.05 level of significance, are
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there any differences of new housing starts during the three quarters?| Quarter 1 | 41 | 53 | 54 | 55 | 43 |
| Quarter 2 | 45 | 51 | 48 | 43 | 39 |
| Quarter 3 | 34 | 44 | 46 | 45 | 51 |
Also discuss the assumptions of Analysis of variance (ANOVA) test.
OR
Happy Cola is studying the effect of its latest advertising campaign. People chosen at 14
random were called and asked how many cans of Happy cola they had brought in the
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past week and how many advertisements of Happy cola they have either read or seen inthe past week.
X( number of ads) 3 7 4 2 0 4 1 2
Y ( cans Purchased) 11 18 9
(a) Develop the estimating equation that best fits the data
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(b) Discuss and calculate the coefficient of determination and correlationcoefficient
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