BSc IT Sem IV 2022 2023 March 2023 I T COMPUTER ORIENTED STATISTICAL TECHNIQUES Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt ( Any 15 marks
   • a) Calculate Median and Mode with the help of given data
   • b) Write a difference between Harmonic mean and Geometric mean
   • c) Calculate the following data
   • d) Calculate Dz and
   • e) Calculate Standard Deviation and coefficient of variance from the following data
   • f) The number examined ,the mean weight and the S.D each group ot and two medical examiner are given below . Find the mean weight and S.D of both group taken together ar Q.2 Attempt (Any Three) (15)
   • a) The first four raw moments about origin are 4,16,33,89 .Find mean and the first four central
   • b) Find the first four central moments from the following data also find B,, Bz Skewness and Kurtosis
   • c) Write a short nete on Kurtosis
   • d) From 40 tickets from 1 to 40. One ticket is drawn at random .Find the probability that it is marked with a multiple of 3 and 4
   • e) A population consists the five numbers 3,4, 7,9 and 12 Consider all possible sample of size 2 that can be drawn with replacement from this population ,evaluate i) Mean of the population
   • ii) Standard deviation of the population iii) The mean of the sampling distribution o means cf the Sampling ution of SYIT SEM -IV COST 75 MARKS 2%HRS
   • f) The following data are given to an economist for the purpose of economics analysis The data refer \ to the length of a certain type of batteries \ think that distribution is platykurtic ?
2. Q3 Attempt (Any Three) 15 marks
   • a) A sample of 60 typical round trips of a truck of a transport company showed the mean time of 50 hours with S.D of 4 hrs.Find the limits within which the mean required for the round trip lies almost
   • b) For a certain test for coin, Hp : P= can be retained where P represent the probability of getting a tail .To decide this coin is tossed four times and Hg reject only if the number of heads observed 0 or 1 .Find the probability of both types of error
   • c) Two sample of 150 and 250 balls drawn from two different lots gave 5% and 9% defective bails respectively . Test whether both the lots come from the balls manufactured by same process
   • d) Arandom sample of 500 found to have mean height of 69.2 inches and standard deviation of 2.7 inches Find i) 95% confidence limit confidence limit
   • e) Define -i) Level of significance ii) Probable error iii) Standard Error iv ) Critical region
   • v) One tail and two tail
   • f) A company has the head office at Dadar and a branch at Virar . The personal director wantated to know if the workers at the two places would like the introduction of a new plan of work and a survey was conducted for this purpose . Out of sample of 500 workers at Dadar ,62% favoured the new plan at Virar , Out of sample of 400 workers 41% were against the new plan Is there any significant difference between the two groups in their towards th new plan at 5% level ?
3. Q4 Attempt (Any Three ) 15 marks
   • a) Atertain medicine was given to each of the 5 patients . The results are given below = Test whether there is any change in weight after the medicine at 5% level of significance (Given t at 5% is 2.78)
   • b) The following data represents the last digit of the cars passing at a certain traffic signal observed during last 30 minutes for 180 cars. Can we retain at 5% level of significance that all the digits are equally likely to occur? 5% = 16.9190 = 9)
   • c) experiment of immunizatio: of cattle from tuberculosis the were vcD SYIT SEM -IV COST 75 MARKS 2% HRS Examine the effective of vaccine in control the incidence of the diseases at 1% level of
   • d) Examine whether the nature of the area is related to voting performance in this election with the help of given data ( Given 5% = 3.84)
   • e) Using the data given table to decide whether we can conclude that standard of a salesman has a significant effect on hid performance in field selling at 5% level of significance Performance in field
   • f) A random sample of 10 girls had the following Do tie data support the assumption of a population mean 100? Find a reasonable range in which most of the values of sample of 10 girls lie . (Given t at 5% =2.26)
4. Q5 Attempt (Any Three ) 15 marks
   • a) Find the equation of straight line by least square method
   • b) Find regression equation X on Y and regression coefficient with the help of given data vcD SYIT SEM -IV COST 75 MARKS
   • c) Find the Spearman’s Rank with the heln of given data
   • d) Find the equation of second degree of parabola with the help of given data
   • e) Fit an exponehtial curve of the form y = ab*to the following data
   • f) Find Total variation and explained variation and unexplained variation with the help of given data

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