University of Mumbai
Examinations Summer 2022
Quantitative Analysis
Time: 2 hour 30 minutes
Max. Marks: 80
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Choose the correct option for following questions. All the Questions are
Q1.
compulsory and carry equal marks
1.
Which of the following are known as the types of research data?
Option A: Organised data and unorganised data
Option B: Qualitative data and quantitative data
Option C: Processed data and unprocessed data
Option D: Original data and non original data
2.
Option A:
Option B:
Option C:
Option D:
Which of the following statements is true about the census?
The census involves a process of choosing a few units out of the entire population
for collecting data
The census involves a process of organising and publishing the data
The census involves a process of collecting data from each and every unit
The census involves a process of segregating the data
3.
Option A:
Option B:
Option C:
Option D:
Of the following sampling methods, which is a probability method?
Judgement
Quota
Simple random
Convenience
4.
Option A:
Option B:
Option C:
Option D:
In regression analysis, the variable that is being predicted is;
the independent variable
the dependent variable
usually denoted by x
usually denoted by r
5.
Option A:
Option B:
Option C:
Option D:
If the slope of the regression equation y = bo + b1x is positive, then;
as x increases y decreases
as x increases so does y
either a or b is correct
as x decreases y increases
6.
Option A:
Option B:
Option C:
Option D:
Estimation is the branch of.
Statistic
Statistical Method
Both A and B
Statistical Inference
7.
Option A:
Option B:
Option C:
Option D:
A statement made about a population for testing purpose is called?
Statistic
Hypothesis
Level of Significance
Test-Statistic
8.
If the null hypothesis is false then which of the following is accepted?
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Option A:
Option B:
Option C:
Option D:
Null Hypothesis
Positive Hypothesis
Negative Hypothesis
Alternative Hypothesis
9.
Option A:
Option B:
Option C:
Option D:
In MLR, the square of the multiple correlation coefficient or R2 is called the
Coefficient of determination
Variance
Covariance
Cross-product
10.
Option A:
Option B:
Option C:
Option D:
Among these, which sampling is based on equal probability?
Simple random sampling
Stratified random sampling
Systematic sampling
Probability sampling
Q2
Solve any Four Questions out of Six
A
B
C
D
E
F
Distinguish between Histogram and Component Bar Diagram
Explain the different sources of collecting primary data
Explain MAE, MAPE, MSE, RMSE and R2
Write a note on Multiple Linear Regression with different regression lines
Explain properties of good estimators
Explain null and alternate hypothesis
Q3
Solve any Two Questions out of Three
A
Explain Type I and Type II error in testing of hypothesis
Analyse the data and draw all possible samples of size 2 from the population [8,
12, 16] and verify the following
i.
E(ȳ) = Ȳ
ii.
E(s2) = S2
iii.
Find the variance of estimate of sample mean ȳ and show that it
agrees with the formula (N – n / nN) S2
iv.
V (ȳSRSWR) = V (ȳSRSWOR)
Analyse the data and calculate the following
B
i.
ii.
C
5 marks each
10 marks each
Regression equation of sales on intelligence test scores of
salesmen
If the intelligence test score of a salesmen is 45 what would be
the expected weekly sales
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Q4
A
B
C
Solve any Two Questions out of Three
10 marks each
Analyse the data find the goodness of fit
Y -> -3.7, 3.5, 2.5, 11.5, 5.7
X1 -> 3, 4, 5, 6, 2
X2 -> 8, 5, 7, 3, 1
Analyse the data and find the Biased and Unbaised population parameter
n = 6, {6, 10, 13, 14, 18, 20}
Explain Neyman Pearson Lemma – MP and UMP tests
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