Business Statistics (BS) — Winter 2021

Find the median and median class of the following data: 7 Marks Class- 15-25 25-35 35-45 45-55 55-65 65-75 Interval Frequency 5 10 15 20 25 30

Write a short note on level of data management. 7 Marks

Find standard Deviation of the following figures: 7 Marks Height 44-46 46-48 48-50 50-52 52-54 total (Inches) No. of 5 25 28 22 5 85 Children

Write a note on statistical graphs and charts? 7 Marks

Find out the inter quartile range and quartile deviation. 7 Marks X 1 2 3 4 5 6 7 8 9 Y 2 4 8 12 14 13 6 10 21

Explain the term giving salient features – Bayes’ theorem 7 Marks

The bolts produced by a certain machine were checked by examining sample of 12. The following table shows the distribution of 130 samples according to the number of defective items they contained: 7 Marks Nos. of defectives in sample of 12 0 1 2 3 4 5 6 7 Total Nos. of samples 7 6 19 35 30 23 8 2 130 Fit the binomial distribution and find the expected frequencies if the chance of a bolt being defective is ½. Find the mean and variance of the fitted distribution. Page 1 of

Explain the term Random variable associated with an experiment. Thereafter distinguish between discrete and continuous probability distributions also mentioning types of discrete and continuous distributions? 7 Marks

According to the HRD Statistics in India, 75% of the women of 18 to 25 years age group are student. Suppose 78% of the women in that age group are married. Suppose also that 61% of all women of 18 to 25 years age group are married and are student. What is the probability that a randomly selected woman in that age group is married or is student? What is the probability that a randomly selected woman in the age group is married or is student but not both? What is the probability that a randomly selected woman in that age group is neither married nor student? 7 Marks

Differentiate Type Iand Type II error and Explain with examples 7 Marks

Data was collected over a period of 10 years, showing number of deaths from heart attack in each of the 200 army crops. The distribution of deaths was as follows: 7 Marks No. of Deaths 0 1 2 3 4 Total Frequency 112 72 28 9 4 225

151.8, 71.4,65.5,36.4,25.0,24.5,20.4,19.8,17.7,16.0,15.9,15.1,13.4,12.9,12.1 14 marks Find the following: 1. Mean 2. Median 3. Mode 4. Quartile range 5. Quartile deviation 6. Standard deviation

Is the type of beverage ordered with lunch at a restaurant independent of the age of the consumer? Arandom poll of 309 lunch customers is taken, resulting in the following contingency table of observed values. Use α= 0.01 to determine whether the two variables are independent. 14 marks Preferred Beverage Coffee/Tea Soft Drink Other (Milk, etc.) 21-34 26 95 18 139 35-55 41 40 20 101 ≥ 55 24 13 32 69 Page 2 of