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Business Statistics

bbasemester 3
Chapter Wise NotesQuestion BanksSyllabusChapter Wise Questions
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Faculty of Management

2024

Bachelor in Business Administration

Business Statistics

STT 201

Full Marks: 60

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

"Section A"

Brief Answer Questions

[10*1=10 ]

1.

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

[1]
2.

Calculate the combined mean from the following information.

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

[1]
3.

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]
4.

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

[1]
5.

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

[1]
6.

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

[1]
7.

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]
8.

Given that P(A) = 1/3, P(B) = 3/5 and P(A∩B) = 1/15 then find out the value of P(A ∪ B).

[1]
9.

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

[1]
10.

List out non-random sampling methods.

[1]

"Section B"

Short Answer Questions : (Attempt any FIVE Questions )

[5*3=15 ]

1.

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]
2.

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]
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]
4.

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]
5.

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]
6.

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]

"Section C"

Long Answer Questions : (Attempt any THREE Questions )

[3*5=15]

1.

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]
2.

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

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

[5]
3.

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]
4.

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]