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

2024

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 Questions:

[10 × 1 = 10]

Find the quartile deviation if first and third quartiles are 18 and 30 respectively.

[1]

Calculate the combined mean from the following information.

	Group A	Group B
Mean	65	60
Number of observations	40	60

[1]

The coefficient of correlation between two variable X and Y is 0.48. The covariance is 36. The variance of X is 16. Find the standard deviation of Y.

[1]

In a moderately asymmetrical distribution, the mode and mean are 32 and 35 respectively. Calculate the median.

[1]

Calculate the Pearson's Coefficient of skewness when mean, mode and standard deviation are 25, 20 and 10 respectively.

[1]

Given \(\lambda = 1.2\) for a Poisson distribution, find \(p(x = 4)\).

[1]

If a random sample of size 36 is drawn from a finite population 400 units without replacement, then find the standard error of the sample mean if the population s.d. is 12.

[1]

Given that \(P(A) = \frac{1}{3}\), \(P(B) = \frac{3}{5}\) and \(P(A \cap B) = \frac{1}{15}\) then find out the value of \(P(A \cup B)\).

[1]

If first quartile and third quartile of a distribution are 28 and 52 and their \(90^{th}\) and \(10^{th}\) percentiles are 61 and 17 respectively then, find the value of kurtosis.

[1]

10.

List out non-random sampling methods.

[1]

"Group "B""

Short Answer Questions: (Attempt any FIVE Questions)

[5 × 3 = 15]

The following table represents the weekly expenditure of 100 families.

Expenditure	0-20	20-40	40-60	60-80	80-100
No. of Families	14	-	27	-	15

If the mean value is 48 find the missing frequencies.

[3]

A sample of 500 bulbs of a company shows that an average life of 1400 hours with standard deviation of 30 hours. Find 95% confidence limits for population mean.

[3]

Calculate coefficient of quartile deviation from the following distribution of expenditure of one thousand households of Pokhara city.

Expenditure (Rs.'00)	No. of households
30-50	54
50-70	100
70-90	140
90-110	300
110-130	230
130-150	125
Above 150	51

[3]

The mark distribution of 104 students are given below:

Marks	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70
No. of Students	7	8	13	29	35	9	3

Find the lowest marks of the top 10% of the students.

[3]

Five dice were thrown for 96 times. The observed number of times for getting 4, 5 or 6 was recorded by the table below. Fit the binomial distribution for the given data.

No. of face 4,5 or 6	0	1	2	3	4	5
Observed frequency	2	10	26	35	15	8

[3]

A committee of 5 is to be formed out of a group of 8 boys and 7 girls. Find the probability that in the committee.

a. There will be all boys.

b. There will be all girls.

[3]

"Group "C""

Long Answer Questions: (Attempt any THREE Questions)

[3 × 5 = 15]

Calculate the percentile coefficient of kurtosis from the income distribution of sixty-two randomly selected employees of Nepal Bank Limited. Also interpret the result.

Income (Rs '000)	20-30	30-40	40-50	50-60	60-70	Total
No. of employees	7	10	20	18	7	62

[5]

The following table shows average marks of students in two classes.

	Class A	Class B
No. of students	150	100
Average marks	45	43
Standard deviation of marks	5	4

Test whether there is any significant difference in average marks of students of two classes at 5% level of significance.

[5]

The running capacity of two horses is given below, state which is more consistent and why?

Horse A	250	255	280	290	295	300
Horse B	280	282	290	295	298	295

[5]

Students of a class are given a test. Their marks were normally distributed with mean 60 and standard deviation 5. What percentage of students scored:

a. More than 65 marks.

b. Between 50 and 65 marks.

[5]

"Group "D""

Comprehensive Answer Questions:

[20]

The following table gives the marks in mathematics and statistics of ten students.

Marks in mathematics	45	70	65	30	90	40	50	75	85	60
Marks in statistics	35	90	70	40	95	40	60	80	80	50

a. Calculate two regression coefficients.

b. Calculate two regression lines.

c. Find Karl Pearson's coefficient of correlation and test its significance.

d. Estimate the most likely marks in statistics when the marks in mathematics is 52.

[6+6+6+2]

BITM Business Statistics

BITM Semester 3 Business Statistics Question Paper 2024 – Solved

Faculty of Management