BITM Business Statistics

bitmsemester 3

Statistics in business and management, describing data using graphs and tables. Numerical measures: central tendency, dispersion, skewness and kurtosis. Probability: laws of probability, conditional probability. Probability distribution: discrete probability distribution and continuous probability distribution. Sampling theory: sampling techniques, sampling and non-sampling errors. Estimation: point and interval estimates. Hypothesis testing: test of significance for large samples. Linear correlation and regression.

Chapter Wise Notes Question Banks Syllabus Chapter Wise Questions Viva Practical

Faculty of Management

2023

Bachelor of Information Technology Management

Business Statistics

STT201

Full Marks: 60

Pass Marks: 30

Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.

"Group A"

Brief Answer Question (Attempt all questions)

[10 × 1 = 10]

In a moderately asymmetric distribution, the values of mean and median are 16 and 20 respectively. Compute the value of mode.

[1]

If the values of lower and upper quartiles are 40 and 70 respectively, then calculate the quartile deviation.

[1]

Calculate combined mean from the following information:

	Group A	Group B
Mean	120	130
Number of observation	20	15

[1]

The coefficient of correlation between two variates X and Y is 0.8. Their covariance is 20. The variance of X is 16. Find the standard deviation of Y.

[1]

If quartile deviation of a distribution is 2 and their 90^th and 10^th percentiles are 24 and 16 respectively then find the value of kurtosis.

[1]

Calculate the Pearson’s coefficient of skewness when mean, mode and standard deviation are 65 , 62 and 5 respectively.

[1]

Given that \(P(A \cap B)\)=0.2, P(A)= 0.5 and P(B)= 0.4,then findout the value of \(P(A \cup B)\).

[1]

The mean of Poisson distribution (\(\lambda\)) = 2, find P(x=2).

[1]

Calculate the standard error of mean when population size (N) = 500, sample size (n) =50 and standard deviation (\(\sigma\))=5.

[1]

10.

List out the types of random sampling techniques.

[1]

"Group B"

Short Answer Question (Attempt any FIVE questions)

[5 × 3 = 15]

Find missing frequencies when mean value is 35 and total number of workers is 60.

Wage(Rs)	0-10	10-20	20-30	30-40	40-50	50-60
Workers	4	6	-	20	-	10

[3]

Systolic blood pressure of a sample of 400 males was taken. A sample mean blood pressure was found to be 128 mm and standard deviation 13 mm. Find 95% confidence limits of blood pressure within which the population mean would lie?

[3]

Find coefficient of quartile deviation from the following income table.

Monthly income (Rs)	Number of persons
Below 1000	50
1000-1999	500
2000-2999	555
3000-3999	100
4000-4999	300
5000 and above	15

[3]

The following information was obtained from two brand of cars A and B:

	A	B
No. of cars	50	60
Average life in years	11	12
Standard deviation	5	6

Which of the two brands shows greater consistency in its performance regarding to their life?

[3]

The following table shows the marks distribution of students in a campus.

Marks	0-10	10-20	20-30	30-40	40-50	50-60
frequency	10	20	45	15	8	3

Compute mode value of the marks distribution..

[3]

From the following distribution of marks of 500 students of a campus, find the lowest marks of the top 10% students.

Marks	No. of students
0-20	50
20-40	100
40-50	150
50-60	90
60-80	60
80-100	50

[3]

"Group C"

Long Answer Questions (Attempt any THREE questions)

[3 × 5 = 15]

From the following distribution of marks of 500 students of a campus, calculate the coefficient of skewness. Also, interpret the results.

Marks	No. of students
0-20	50
20-40	100
40-50	150
50-60	90
60-80	60
80-100	50

[5]

From the following distribution, find the percentile coefficient of kurtosis. Also comment the result.

Monthly income (Rs 000)	Number of workers
Below 100	5
100-199	50
200-299	55
300-399	10
400-499	30
500 and above	10

[5]

Daily expenditure on lunch of the staff of a bank of 400 employees was found to be normally distributed with mean of Rs 120 and standard deviation of Rs 20. Find the probability of employees having expenditure (a) between Rs 105 to Rs 140 (b) between Rs 125 to Rs 150.

[5]

A random sample of 100 students is found to have a mean weight of 65 kg and standard deviation of 20 kg. Test the hypothesis that at 5% level of significance the mean weight of the population is 60 kg.

[5]

"Group D"

Comprehensive Answer Question

[1 × 20 = 20]

Following table shows the income and expenditure of people of certain locality of small town city of Nepal.

Expenditure in Rs	Income in Rs
Expenditure in Rs	0-5000	500-1000	1000-1500	1500-2000	2000-2500
0-4000	12	6	8	-	-
400-800	12	18	4	5	1
800-1200	-	8	10	2	4
1200-1600	-	1	10	2	1
1600-2000	-	-	1	2	3

Find out

(a) Equation of two regression lines.

(b) Correlation coefficient.

(d) Estimate the expenditure of a person whose income is Rs. 4000.

[10+3+5+2=20]

BITM Business Statistics

BITM Semester 3 Business Statistics Question Paper 2023 – Solved

Faculty of Management