STT201 Business Statistics

Business Statistics TU Board 2022 question paper

10 questionsSit this paper (timed)

Tribhuvan University

Bachelor of Business Administration

Semester 3 · TU Board 2022

Course Title: Business Statistics (STT201)

Full Marks: 36Pass Marks: 18Time: 2 hrs

Candidates are required to give their answers in their own words as for as practicable.

Group A

Brief Answer Questions(4 × 2 = 8)

  1. 1.

    Consider the following set of sample data: 781211438811010762122130957813989125 Calculate the lower and upper quartiles.

    2
  2. 2.

    If the coefficient of skewness is 0.5, first quartile is 8 and third quartile is 16, find the median of the distribution.

    2
  3. 3.

    A bag contains 20 balls numbered from 1 to 20. A ball is selected at random without replacement, what is the probability of (a) multiple of 3 or 7 (b) multiple of 3 or 4?

    2
  4. 4.

    A random variable x has the following probability distribution. X01234P(x)0.220.180.350.150.10 Compute the expected value and variance.

    2

Group B

Short Answer Questions(4 × 3 = 12)

  1. 5.

    Compute the five number summaries from the following data and comment on the shape of the distribution: 71125231934293191530

    3
  2. 6.

    Find the mean and standard deviation from the following data related to age distribution of a class. Age (yrs)151617181920No of students57121574

    3
  3. 7.

    The mean height and variance of height of 500 students were found to be 165 cm and 25 cm² respectively. Find the range of height of middle 80% of the students.

    3
  4. 8.

    A sample of heights of 6400 Indian has a mean of 67.85 inches with a standard deviation of 2.56 inches, while sample of heights of 1600 British has a mean of 68.55 inches with a standard deviation of 2.52 inches. Do the data indicate that British are on the average taller than Indians at 5% level of significance?

    3

Group C

Comprehensive Answer Questions(2 × 8 = 16)

  1. 9.

    The following table shows the monthly expenditure of people living in village A and village B of a country. Expenditure (000 Rs)51015202530No. of families in village A4145120104No. of families in village B8184018129 Which village people have uniform expenditure on the basis of coefficient of variation?

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  2. 10.

    A random sample of 12 records revealed the following information concerning the number of machines serviced and the time (in minutes) to complete the routine service call: No. of machines1189107684105512Service time (minutes)11560809055657033955040110 a) Calculate coefficient of correlation and interpret. b) Estimate the regression equation. If there are six machines, how many minutes should expect a routine service call to require?

    8

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