• 1.Write any two different between structured & unstructured data ?
• 2.Explain different Estimates of location in statistics ?
• 3.The mean annual salary paid to all employees of a company was Rs. 5000. The mean annual salaries paid to male and female employees were Rs. 5200 and Rs. 4200 respectively. Determine the percentage of males and females employed by the company.
• 4.State central limit theorem and explain ?
• 5.State importance of normal distribution ?
• 6.For a certain normal distribution, the first moment about 10 is 40 and the fourth moment about 50 is 48. What is the arithmetic mean and standard deviation of the distribution?
• 7.If X is binomially distributed with E(X) = 2 and Var (X) = 4/3 , find the probability distribution of X ?
• 8.A variable X follows Poisson distribution with variance 3. Calculate. (i) P(X = 2), (il) P(X 24)?
• 9.The time in hours required to repair a machine is exponentially distributed with parameter A =1/2. What is the probability that a repair takes at least 10 hours given that its duration exceeds 9 hours?
• 10.Give comparison of null and alternate hypothesis ?
• 11.Explain: Level of significance ?
• 12.Explain (1) Left-tail test (il) Right-tail test ?
• 13.What is the difference between sample and population ?
• 14.Explain Analysis of variance (ANOVA) Test ?
• 15.A radio shop sells on an average 200 radios per day with a standard deviation of 50 radios. After an extensive advertising campaign, the management will compute the average sales for the next 25 days to see whether an improvement has occurred. Assume that the daily sales of radios is normally distributed. (i) Write down the null and alternative hypothesis, (ii) Test the hypothesis at 5% level of significance if x = 216. (iii) How large must x~ be in order that the null hypothesis is rejected at 5% level of significance.