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Important Questions for "Statistical Analysis":

[1]

  1. Describe the uses of mean, median, and mode.
  2. Find specified set operations such as union and intersection for given sets.
  3. Discuss diagrammatic presentation and its advantages.

[2]

  1. What is meant by probability? What are its limitations?
  2. Discuss the statement: 'Statistical Quality Control can never be effective as 100 percent inspection.'
  3. Distinguish between parametric and non-parametric tests.

[3]

  1. Explain why a good sample must be based on random selection.
  2. What is the difference between standard deviation and standard error?
  3. Distinguish between Error of Type I and Error of Type II.

[4]

  1. Prove that E-1 = 1-7.
  2. Solve by Gauss-Seidal method: 2x+10y+z=51, 10x+y+2z=44, x+2y+10z=61.
  3. Explain the concept of ill-conditioned systems of equations.

[5]

  1. Construct a pie-chart for the provided city population data (children, adults, and old).
  2. Find the regression line of x on y for the given data points.
  3. Find f(1.9) from the given dataset using interpolation.

[6]

  1. Give any two properties of coefficient of correlation.
  2. Find the median for the given frequency data.
  3. Apply Gauss's backward formula to find sine(45) from the provided sine table.

[7]

  1. What do you mean by Z test?
  2. Explain the concept of Regression and discuss its utility. How does it differ from correlation?
  3. Find the most likely Price in Mumbai corresponding to the price Rs 75 at Delhi from the given data.

[8]

  1. Explain the statistical analysis of Latin Square Design.
  2. What are the components of Bioinformatics?
  3. Write short notes on: Histogram, Coefficient of variation, ANOVA table, Large sample test, Local control, Scope of Bioinformatics in computers, Database searching.

[9]

  1. Explain the complete statistical analysis of Completely Randomized Block Design.
  2. Define Mode and how it is calculated.
  3. Test the hypothesis that the digits are equally distributed in a set of random numbers.

[10]

  1. Find the probability of getting 4 white balls in the first draw and 4 black balls in the second draw under different conditions.
  2. Test the significance of difference between two population proportions at 5% level of significance.
  3. Determine the optimal number of copies to order using the Expected Opportunity Loss (EOL) criterion.

[11]

  1. Calculate Yule's Coefficient of Association between literacy and unemployment in a group of 500 persons.
  2. Explain the significance test for the difference between the means of two large samples and the appropriate formulas used.
  3. Construct an empirical probability distribution of cyclones based on given relative frequency data.

[12]

  1. Find out the population for the year 1985 based on the given data.
  2. What is the probability that a specific player gets all four kings in a card game?
  3. What is simulation? Discuss its applications in business management.

[13]

  1. Explain the various steps of median test with an example.
  2. What is one-way ANOVA? Discuss hypothesis testing and assumptions for ANOVA with suitable examples.
  3. What do you mean by Correlation? Discuss different types of correlation.

[14]

  1. Explain the concept of regression in statistical analysis of data. In what situations is it beneficial for a researcher? Provide its formula with explanations.
  2. What is a research proposal? What precautions and capabilities are required for preparing a good research proposal in educational research?
  3. Explain Chi-square and calculate Chi-square from a given table to differentiate gender in relation to color preferences.

[15]

  1. In an examination, the chance of A, B, and C's success are given. Find the chance that one of them will succeed.
  2. Explain the uses and limitations of the tests of significance.
  3. Predict the probable marks in Hindi of a student whose English marks are 65.

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