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Important Questions for "Statistical Analysis":

[1]

  1. Describe the requirements of a good measure of central tendency.
  2. Find the chances of throwing specific totals in a single throw with two dice.
  3. Explain how to calculate a control chart for a C-chart and discuss its assumptions and approximations.

[2]

  1. How does hypothesis testing get affected by large and small samples?
  2. State clearly the assumptions involved in 'F' test.
  3. Compare Binomial, Poisson, and Normal distribution.

[3]

  1. Given the following positive class frequencies, find all the rest of class frequencies.
  2. State clearly the assumptions involved in 'F' test.
  3. What is the Quality Control chart? Describe the various control charts for variables and attributes.

[4]

  1. Explain the difference between correlation and regression analysis.
  2. Discuss the rate of convergence of Newton Raphson method.
  3. Discuss frequency charts used in statistical documentation.

[5]

  1. Differentiate between correlation and regression.
  2. Solve the system of equations using Gauss-Elimination method: x + y + 54z = 110, 27x + 6y - z = 85, 6x + 15y + 2z = 72.
  3. Discuss frequency distribution and its applications.

[6]

  1. Find the real root of the equation x * log x = 1.2 by Bisection method correct to four decimal places.
  2. Find a real root of the equation 3x + sin(x) - e = 0 by the method of false position correct to four decimal places.
  3. Calculate linear regression coefficients using the provided data points.

[7]

  1. What is meant by probability?
  2. Explain the concept of Independent and mutually exclusive events in probability.
  3. At an examination of 600 candidates, calculate the coefficient of association between boys and success given specific data points.

[8]

  1. Explain the statistical analysis of Latin Square Design.
  2. What are the various measures of central tendency? Explain any one of them.
  3. Compute the value of standard deviation from the given frequency distribution.

[9]

  1. Explain the complete statistical analysis of Completely Randomized Block Design.
  2. Define the following terms: (i) Mean deviation, (ii) Standard deviation.
  3. Calculate the standard deviation of the given marks obtained by students.

[10]

  1. Can it be said that there are relatively more women owners in villages than in towns using x test?
  2. What is simulation? Discuss its advantages and limitations.
  3. Determine the optimal number of copies to order using the Expected Opportunity Loss (EOL) criterion.

[11]

  1. Find the probability that a specific player gets all four Kings in a card game.
  2. Analyze the effect of a stimulus on blood pressure changes across 12 patients and determine if it leads to an increase.
  3. Construct an empirical probability distribution of cyclones based on given relative frequency data.

[12]

  1. What is the probability that a specific player gets all four kings in a card game?
  2. Explain the pay-off table with an example and convert it into an opportunity loss table.
  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 one-way ANOVA? Discuss hypothesis testing and assumptions for ANOVA with suitable examples.
  2. What are Non-Parametric tests? How do they differ from Parametric tests? Illustrate with suitable examples.
  3. Explain in brief the various chapters which are included in the report writing of research.

[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. Describe the t-test. Who propounded it, and why is it used in inferential statistics?

[15]

  1. What is the probability of getting either 1 or 3 from the throw of a dice?
  2. Given data for two tests in English and Hindi, work out the regression equations.
  3. Predict the probable marks in Hindi of a student whose English marks are 65.

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