Download JNTUA MBA 2018 May-June Supply 1st Sem 17E00105 Statistics for Managers Question Paper

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Code: 17E00105

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MBA & MBA (Finance) I Semester Supplementary Examinations June/July 2018

STATISTICS FOR MANAGERS

(For students admitted in 2017 only)

Time: 3 hours

Max. Marks: 60

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SECTION -A

(Answer the following: (05 X 10 = 50 Marks)

1. Calculate arithmetic mean for the following data by short-cut method:

   Marks 0-10 10-20 20-30 30-40 40-50 50-60

   Frequency 4 8 11 15 12 6

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2. Find mode from the following data:

   OR

   Monthly salary 1000-1500 1500-2000 2000-2500 2500-3000 3000-3500 3500-4000 4000-4500 4500-5000
   No. of employees 3 8 16 25 18 7 5 2

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3. Obtain the regression lines associated with the following data by the method of least squares.

   X 2 3 4 1 5

   y 166 184 142 180 338

   OR

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   Given that x = 4y + 5 and y = kx + 4 are the regression lines of x on y and y on x respectively. Show that 0 = k = 0.25. If k = 0.1 actually, find the means of the variables x and y and their coefficient of correlation.

4. 5 unbiased coins were tossed simultaneously then what is the probability of getting: (i) Exactly 3 heads. (ii) At least 3 heads. (iii) Zero heads. (iv) At most 2 heads

5. Fit a binomial distribution to a following data and fore cast theoretical or expected frequencies.

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   X 0 1 2 3 4 5 6

   f 2 10 25 42 20 11 3

6. Distinguish between large and small

   OR

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   The average hourly wage of a sample of 150 workers in plant A is Rs. 256 with a standard deviation of Rs. 1.08. Average wage of a sample of 200 workers in plant B Rs. 2.87 with a standard deviation of Rs. 1.28 can be applicant safely. Assume that the hourly wages paid by plant B is higher than plant A.

7. The following data from a study in which random samples of the employees of three government agencies were asked questions about their pension plan.

   Agency | Agency II | Agency III

   For the pension plan 67 84 109

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   Against the pension plan 33 66 41

   Use the 0.01 level of significance to test the null hypothesis that the actual proportions of employees favoring the pension plan are the same.

   OR

   A die is thrown 60 times with the following results:

   Face 1 2 3 4 5 6

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   Frequency 8 7 12 8 14 11

   Test at 5% level of significance, if the die is honest.

SECTION -B

(Compulsory question, 01 X 10 = 10 Marks)

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1. Case Study/Problem:

   Prepare the analysis of variance for the following data relating to per acre production data of wheat.

   Type of land

   Type of seeds A B C

   W 6 5 5

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   X 7 5 4

   Y 3 3 3

   Z 8 7 4

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