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Important Questions for "Statistical Analysis":

[1]

  1. Calculate the quartile and mean deviation from the provided data.
  2. Explain how to calculate a control chart for a C-chart and discuss its assumptions and approximations.
  3. Explain classification of data, its uses, and basis.

[2]

  1. What is meant by probability? What are its limitations?
  2. Explain why a good sample must be based on random selection.
  3. Is there any sex bias in education among the people? Also examine the claim that no distinction is made in appointments in respect of sex.

[3]

  1. Find the probability of 53 Sundays in a randomly chosen year.
  2. Distinguish between null hypothesis and alternative hypothesis.
  3. Distinguish between parametric and non-parametric tests.

[4]

  1. Define multiple correlation and explain its practical use.
  2. Find the missing frequencies in the given incomplete distribution.
  3. Derive the line of regression of y on x and x on y using the method of least squares.

[5]

  1. Suppose 1.414 is used as an approximation of 2. Find the absolute and relative error.
  2. Describe briefly the floating point representation of numbers.
  3. Solve the system of equations using Gauss-Elimination method: x + y + 54z = 110, 27x + 6y - z = 85, 6x + 15y + 2z = 72.

[6]

  1. Write the difference between Interpolation and Extrapolation.
  2. Prove Lagrange's formula using the given notation.
  3. Find the median for the given frequency data.

[7]

  1. Explain the concept of T-Test.
  2. What is analysis of variance?
  3. Construct a control chart for Range and determine whether the process is within control or not.

[8]

  1. Explain the statistical analysis of Latin Square Design.
  2. Explain mean deviation and standard deviation.
  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. Find the mean deviation about median from the given data.
  3. Write short notes on any four of the following: (a) Histogram, (b) Coefficient of variation, (c) Large sample test, (d) Replication, (e) NCBI, (f) Applications of Bioinformatics.

[10]

  1. What is simulation? Discuss its advantages and limitations.
  2. Write short notes on the following: (i) Decision tree diagram, (ii) Decision environment.
  3. Test the significance of difference between two population proportions at 5% level of significance.

[11]

  1. Explain the chi-square test of goodness of fit along with its uses and limitations.
  2. Calculate the probability that no phone call occurs in a particular minute based on given data.
  3. Construct an empirical probability distribution of cyclones based on given relative frequency data.

[12]

  1. What is simulation? Discuss its applications in business management.
  2. Explain the pay-off table with an example and convert it into an opportunity loss table.
  3. Perform an analysis of variance to determine whether three varieties of wheat differ significantly in yield.

[13]

  1. What are the criteria for framing a good research topic?
  2. Differentiate between Type I and Type II error.
  3. What is one-way ANOVA? Discuss hypothesis testing and assumptions for ANOVA with suitable examples.

[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. Differentiate between Questionnaire and Schedule. Can schedule be fused with an interview? How could you construct a good Questionnaire for data collection?
  3. What is a research proposal? What precautions and capabilities are required for preparing a good research proposal in educational research?

[15]

  1. Describe the chi square test of significance and state its various uses.
  2. Explain the uses and limitations of the tests of significance.
  3. Given data for two tests in English and Hindi, work out the regression equations.

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