BSc IT Sem IV 2018 19 April 2019 Computer Oriented Statistical Techniques Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt of the following: 15 marks
   • a. Define the following
   • b. Calculate the mean and standard deviation for the following table giving the age distribution of 542 members Age (in years) | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | | 80-90
   • c. Calculate the Semi-inter quartile range, coefficient of variation for the following data
   • d. From the following data calculate Qi and Q3 and Quartile deviation Number of Students
   • e. Find the Geometric mean for the following distribution
   • f. Compute Mean deviation and semi-interquartile range (Q. D.) for the following data
2. Q2 Attempt any three of the following: 15 marks
   • a. Obtain Karl Pearson’s measure of skewness for the following data
   • b. the second, third and fourth central moments of the frequency distribution given
   • c. What is kurtosis? Explain types of kurtosis and measures of kurtosis
   • d. A survey of 500 television viewers produced the following information; 285 watch football 195 watch hockey, 115 watch basketball, 45 watch football and basketball, 70 watch football and hockey, 50 watch hockey and basketball, 50 d not watch any of the tree games. Create a Venn diagram and then determine the probability that if a viewer is selected at random
3. Q1 Watch all three games
4. Q2 Exactly one of the three games
   • e. If a pair of dice is thrown and X denotes the sum of the numbers on them. Find the probability distribution of find the expectation of X
   • f. sample of 400 men is found to have a mean height of 69.2 inches and a standard deviation of 2.7 inches. Find
   • a) The 95 percent confidence limits of the true average height
   • b) The 99 percent confidence limits of the true average height
5. Q3 Attempt of the following: 15 marks
   • a. What is hypothesis test? Explain types of hypothesis. Explain level of significance
   • b. A random sample of 100 balls selected from a large consignment of cricket balls gave 10% defective balls. Find 99% confidence limits for the percentage of defective balls in
   • c. of 40 retired women revealed the mean age at which their income was maximum to be 45 years with a standard deviation of 6.3 years. Find 95% confidence limits for the mean age of maximum earnings of women who survive till they retire
   • d. manufacturer claims that 40% of all cars built by his concern will be still in running condition after 10 years. A random sample of 400 cars built by his concern showed that 150 cars were still in running condition after 10 years. Test the claim at 1% level
   • e. Obtain 99% confidence limits for the population mean using the following sample
   • f. Form the given sample of 100, 35 are working as a professor. Construct a 95% confidence interval for the probability that almost most of the education people from the sample are working as a professor
6. Q4 Attempt of the following: 15 marks
   • a. 20% of apples in a large consignment are found to be bad. For the probability that at least 25% apples are bad in a sample size of 400 drawn from it
   • b. It is known that 30% male adults are unmarried in a certain city. A sample of 100 male adults is selected at random from the city. Find the chance that the sample includes
7. Q1 25% to 32% ii) at most 33% of an unmarried male adults
   • c. Twenty sample of size 100 each are selected from a very large consignment of blades Find the expected number of samples that will have at least 14 defective blades if the consignment has 10% defective blades
   • d. Inan experiment of immunization of cattle from tuberculosis the following results were Examine the effective of vaccine in control the incidence of the disease at 1% level of
   • e. Using the data given in below table to decide whether we can conclude that standard of a salesman has. significant effect on hD performance in field selling at 5% level of Performance in field Total Two sample polls of votes for two candidates. A and B for a public office are taken, one from among the residents of rural areas. The results are given in the adjoining table Examine whether the nature of the area is related to voting preference in this election
8. Q5 Attempt of the following: 15 marks
   • a. straight line trend value for the following series. Estimate the number of production
   • b. Fit a parabola for the given data
   • c. Explain the following
9. Q1 Coefficient of correlation li) Standard Error of Estimate
   • d. The following data relate to advertising and sales Obtain the two regression equations
   • e. The marks obtained by 10 students in Mathematics (X) and Statistics (Y) are given below Find the coefficient of correlation between X and Y
   • f. On the basis of a sample size 27, a regression equation of y on x was found to be y = 0.25 + 2.00x. If and oxy = 750 find 95% and 99% confidence limits for the regression

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