BSc IT Sem IV ATKT COMPUTER ORIENTED STATISTICAL TECHNIQUES Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt any of the following: 15 marks
   • a. Compute the median
   • b. Define Geometric Mean. calculate it? Find the G.M. of 250, 12, 42, 35.4, 75, 30
   • c. From the following data, Q; and Q3, Marks more than 30 | 70
   • d. Calculate the standard deviation of the heights of 10 students given as, Height (in cms.) | 161 164
   • e. Find the quartile deviation for the following data
   • f. Define Factors and Data Frames in t0 create them in
2. Q2 Attempt any three of the following: Explain the Relation between Raw Moments and Central Moments Skewness. of Skewness for the following obs
   • c. A random variable.X has the following probability distribution valu (iv)
   • Q. P. Code: 36160
   • d. The data from a Survey Of 140 students showed that 37 study Music, 103 play a sport and 25 do neither. Create a Venn diagram to illustrate the data collected and then determine the probability that if a Student is selected at random
   • a) He or she will Study music
   • b) He or she will Study music given that he or she play sport It has been found that 2% of the tools produced by a certain machine are defective. What is the probability that in a Shipment of 400 such tools
   • a) 3% or more
   • b) 2% or less will prove defective? 3 The electric light bulbs of manufacturer A have a mean lifetime of 2800 hours With a standard deviation of 400 hours. While those of manufacturer B have a mean lifetime of 2400 hours with standard deviation of 200 hours. If random samples of:250 bulbs of each brand are tested, what is the probability that the brand A bulbs will have lifetime that is at least,
   • (a) 320 hours more the brand.B bulbs?
3. Q3 Attempt any three of the following: 15 marks
   • a. Five bolts drawn From the’ bolts produced by a certain machine have lengths 3.3, 3.28, 3.31, 3.33, 3.28 cms, Find an unbiased estimate of the variance of the length the bolts produced by the machine
   • b. A random sample of 100 articles seléctéd from a batch of 2000 articles shows the average diameter of the ‘is: 0:354 with standard deViation 0.048. find 95% confidence interval for the average
   • c. How to calculate an Interval Estimate? State the difference between a Point Estimate and For a certain test for P = 3 against : P= can be retained where P represents the probability a tail: To decide this coin is tossed four times and Ho reject only if the number of héads observed is 0 or 1. Find the probability of both types of errors A certain coin is showed up head 270 occasions in 500 tosses. Test the claim that the coin Explain with example in-built functions available in to generate normal distribution
   • Q. P. Code: 36160
4. Q4 Attempt any of the following: 1s
   • a. sample of 10 pigs fed on diet A, the increases in weight in pounds in a certain period were: For another sample of 12 pigs, fed on diet B, the increases in the same period were Test whether diets A and B differ significantly in weight. Take @
   • b. Test the significance of the following rank correlation coefficient at 5%
   • c. Suppose 3 groups each consisting of four students are taken from class XII from 3 different schools. A test of mathematics is taken. The results is: Compare the mean scores of the
   • d. {nan experiment to study the independence of hypertension on smoking habits, the following data are taken from 180 individuals Test the hypothesis at 0.05 level of significance that the presence or absence of hypertension is independent of smoking habits
   • e. The number of defects a of 330 units of a manufactured product was Fita position distribution to‘the‘data the goodness of fit How to calculate Contingency
   • Q. P. Code: 36160
5. Q5 Attempt any three of the
   • a. Find the regression lines of equation for the Fita second degree curve Y = ro the following data Calculate the Coefficient of Correlation between the Age and Blood pressure of given Age in Years 60 | 6s | 7 40 50 | 55
   • d. Given the following data estimate the linear trend equation. Find trend values and calculate the trend value of No. of cars (in Thousand) 11 | 30
   • e. Find(a) (b) (d) V(y) and (e) cov (x. y)_for-the following data: The two regression lines between x and y are given below. Find x, y andr

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