Data Analysis – December 2014

Part – A

    1. Define Range.
    2. What is Standard Deviation?
    3. The Standard Deviation of a Binomial Distribution is __________
    4. What is joint probability?
    5. What is alternative hypothesis?
    6. What is Type-I and Type-II error?
    7. What is paired difference test?
    8. What is contingency table?
    9. Define Regression.
    10. The __________ is a statistic used to test the significance of a Regression as a whole.

Part – B

Unit -I

    1. The following data relate to the Ages of a group of workers in a factory.
      Age in Years 20-25 25-30 30-35 35-40 40-45 45-50
      No. of workers 35 45 70 105 90 74

      Find Mean, Median and Mode

    1. List out the various measures of central tendency and measures of dispersion.
    2. For the given data calculate Standard Deviation and Coefficient of Variation. 120, 100, 160, 100, 220, 130, 150, 170, 150, 200

Unit -II

  1. Determine the probabilities of the following events in drawing a card at random from a standard deck of 52 cards:
    1. A seven
    2. A Black
    3. An Ace or a king
    4. A black two or A Black three
    5. A red face card
    1. State normal distribution and its properties.
    2. A coin is tossed 6 times find the probability of getting:
      1. No heads
      2. At least one head
      3. All tails

Unit -III

    1. Explain the concept of degree of freedom.
    2. For a population with a known variance of 185 a sample of 64 individuals leads to 217 as an estimate of the mean:
      1. Find standard error of mean
      2. Establish interval estimate that should include the population mean 68.3 percent of the time.
  1. It is claimed that a random sample of 100 tyres with a mean life of 15269 k.m. is drawn from a population of tyres which has a mean life of 15200 km and S.D of 1248 k.m. Test the validity of claim.

Unit -IV

    1. Describe the procedure for testing the quality of two population proportions.
    2. In a simple random sample of 600 men taken from a big city 425 are found to be tea drinkers in another simple random sample of 900 men taken from another city 425 are found to be tea drinkers. Do the data indicate that there significant difference in the proportion of tea drinkers in two cities?
    1. A sample study of educational level of political party workers and their political party affiliations yields the following results
      Education Level Part A Part B Part C Part D
      Did not complete High School 40 20 10 10
      High School 30 35 45 20
      College Degree 30 45 25 30

      Use ∝= 05 and determine whether party affiliations is independent of education level of the workers.
      [Table value 59].

Unit -V

    1. State the properties of correlation and regression.
    2. Calculate the coefficient of correlation for the following data.
      X 10 6 9 10 12 13 11 9
      Y 9 4 6 9 11 13 8 4
  1. You are given below the following information about advertising and sales
      Advertising Expenditure
    (X) Rx. crores
    (Y) Rs. crores
    Mean 10 90
    S.D 3 12

    Correlation Coefficient is 0.8

    1. Calculate the two regression lines.
    2. Find the likely sales when the advertisement expenditure is Rs. 18 crores.
    3. What should be advertising expenditure if the company wants to attain sales target of Rs. 150 crores.

Attention : This exam questions are converted from the real exam paper to a digital text format by using an OCR Software that may made some mistakes, I reviewed it many times to correct it, But may still there some errors that I missed or misspelled, So if you detect an error or mistake PLEASE report by adding a comment or contact me.