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Important Questions for "Statistical Analysis":

[1]

  1. Explain frequency, cumulative frequency, class intervals, midpoints, and class width.
  2. Tabulate the provided scores into two frequency distributions using intervals of three units and five units.
  3. Explain how to calculate a control chart for a C-chart and discuss its assumptions and approximations.

[2]

  1. What is theoretical frequency distribution?
  2. What is test of significance?
  3. What is the Quality Control chart? Describe the various control charts for variables and attributes.

[3]

  1. What is meant by consistency of data?
  2. Discuss the statement: 'Statistical Quality Control can never be effective as 100 percent inspection.'
  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.

[4]

  1. State the merits of Mode as a measure of central tendency.
  2. Prove that E-1 = 1-7.
  3. Using the method of least squares, fit a curve of the form y=axb to the given data.

[5]

  1. What is an ill-conditioned system of equations?
  2. Prove that = {1 + 82} / 821.
  3. Prove that the relative error of a product of three non-zero numbers does not exceed the sum of the relative errors in the result.

[6]

  1. How will you find standard deviation?
  2. What do you mean by refinement of solution in simultaneous equations?
  3. Define the term divided difference.

[7]

  1. Explain the concept of R chart.
  2. Find the most likely Price in Mumbai corresponding to the price Rs 75 at Delhi from the given data.
  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. What do you mean by testing of hypothesis? Also explain t-test for testing significance difference between two population means.
  3. What are the advantages of preparing biological databases? Describe any two databases exclusively devoted to nucleotides and/or proteins.

[9]

  1. Explain the complete statistical analysis of Completely Randomized Block Design.
  2. When might you use FASTA align?
  3. Test the hypothesis that the digits are equally distributed in a set of random numbers.

[10]

  1. What is simulation? Discuss its advantages and limitations.
  2. Find binomial distribution and calculate its mean and standard deviation for the given experiment.
  3. Briefly explain the technique of analysis of variance.

[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. Illustrate the selection of a suitable decision criterion for a decision problem using examples.

[12]

  1. What is the probability that a specific player gets all four kings in a card game?
  2. Test the claim that only 4% of the apples supplied by a wholesaler are defective using sample data.
  3. Construct the nine-square association table and calculate the coefficient of association between male sex and success in an examination.

[13]

  1. What is Directional Hypothesis and describe how to test Null-Hypothesis?
  2. Mention the condition in which the chi-square test is applied.
  3. The 2x2 frequency distribution was prepared according to the passed and failed results of male and female students appearing in an examination. The table is provided.

[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. Prepare a list of tools and techniques widely in use in research methodology. Explain any two in reference to their nature, applicability, and feasibility for data collection.
  3. Explain the meaning of historical research in education. Describe its nature, steps, and applications.

[15]

  1. What is the probability of getting either 1 or 3 from the throw of a dice?
  2. In an examination, the chance of A, B, and C's success are given. Find the chance that one of them will succeed.
  3. What do you understand by statistical quality control? Point out its usefulness in industry.

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