Answer in short: Definitions / terms / explanations / short questions based on concepts of theory/practical
[14 marks]Give two examples each of Nominal and Ordinal Data to differentiate between them.
[ marks]If Mode < Median < Mean, what type of skewness does it indicate?
[ marks]Define Standard Normal Distribution.
[ marks]What is Level of Significance?
[ marks]What is Residual in regression analysis?
[ marks]Name some bivariate non-parametric tests.
[ marks]Which test is the non-parametric alternative to the One Way Analysis of Variance?
[ marks]Explain the difference between Variable and Data. Also explain briefly different types of variables like discrete, continuous, dependent, independent, intervening and extraneous with example.
[7 marks]An assembly consists of two parts A & B. The manufacturing process of each part is such that the probability of defect in part Ais 0.08 and that in part Bis 0.05. What is the probability that the assembled product will not have any defect?
[7 marks]The IQ scores of 120 students are as follows: IQ No. of Students 60 - 70 70 - 80 80 - 90 90 - 100 18 100 - 110 25 110 - 120 21 120 - 130 19 130 - 140 140 - 150 Determine whether the data is skewed or not? Also specify the type of skewness.
[4 marks]Describe Characteristics of Binomial Distribution. Page 1 of
[2 marks]Amanufacturer of pins knows that an average of 5% of his production is defective. He sells pins in boxes of 100 and guarantees that not more than 4 pins will be defective. What is the probability that a box will meet the guaranteed quality?
[7 marks]Explain the types of error in Hypothesis testing.
[7 marks]Aworkshop produces 5000 units per day. The average weight of the units is 140 Kg with a standard deviation of 8 kg. The variable weight follows a normal distribution. Find the number of units weighing less than 145 kg.
[7 marks]Write a short note on Factor Analysis.
[7 marks]Ashoka Restaurant in the city has been averaging sales of 300 lunch packets per day. Due to construction of new buildings in the nearby areas, Ashoka restaurant expects that there will be an increase in sales. During the first 16 days after the new buildings were occupied, the daily sales were : 304, 367, 385, 386, 262, 329, 302, 292, 350, 320, 298, 258, 364, 294, 276 and 333 lunch packets. On the basis of the above sample data of 16 days of sales, conclude whether the expectation of Ashoka Restaurant that the sales will increase is correct or not? Assume 5% level of significance.
[7 marks]Explain in short Kruskal – Wallis Test and its use.
[7 marks]Is the transportation mode used to ship goods independent of the type of Industry? To study this question the contingency table mentioned below represents the frequency counts of types of transportation used by the Publishing and the Computer hardware industries. Analyse the data using Chi-square test for independence to determine whether type of industry is independent of the transportation mode. Take α = 0.05. Transportation Mode Type of Industry Air Train Truck Publishing 32 12 41 Computer hardware 5 6 24
[7 marks]CASE STUDY: Aresearch firm has the following data related to 11 manufacturing units in textile industry. X = Advertisement Expenses in lakh. Y = Revenue in Lakh. X 23 41 37 29 25 17 33 41 40 28 19 Y 201 259 234 240 231 209 229 246 248 227 200
[ marks]Write down all the steps required to perform a Simple Regression Analysis of finding the regression line of Yon X.
[7 marks]Using the steps above find the equation of the regression line of Yon X.
[7 marks]Determine the co-efficient of correlation between X & Yand comment on it.
[7 marks]Convert the X & Ydata into ranks and calculate the rank co-efficient. Page 2 of
[2 marks]