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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. Distinguish between Error of Type I and Error of Type II.
  2. What is test of significance?
  3. Do given data support that the population mean I.Q. is 100?

[3]

  1. Find the probability of 53 Sundays in a randomly chosen year.
  2. 10 coins are tossed 100 times. Find out the expected frequencies for specific results.
  3. Distinguish between parametric and non-parametric tests.

[4]

  1. Find the absolute, relative, and percentage error when x = 22/7 is approximated as 3.14.
  2. Explain internal and external sources of data.
  3. Explain the concept of ill-conditioned systems of equations.

[5]

  1. Differentiate between correlation and regression.
  2. Use Gauss forward formula to find y for x = 30, given a specific dataset.
  3. Calculate a cubic polynomial for the given data points.

[6]

  1. What are internal and external sources of data?
  2. Write a C program for computing the root of (31)^(1/4) using Newton-Raphson method.
  3. Evaluate a definite integral of a trigonometric function with constants.

[7]

  1. Discuss the F-test for testing the quality of two sample variances. State clearly the assumptions involved in F-Test.
  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 are the various measures of central tendency? Explain any one of them.
  3. Explain mean deviation and standard deviation.

[9]

  1. Explain the complete statistical analysis of Completely Randomized Block Design.
  2. When might you use FASTA align?
  3. Complete the given ANOVA Table.

[10]

  1. Find out the number of students who obtained marks in different categories.
  2. Find the probability of getting 4 white balls in the first draw and 4 black balls in the second draw under different conditions.
  3. Find binomial distribution and calculate its mean and standard deviation for the given experiment.

[11]

  1. Explain the significance test for the difference between the means of two large samples and the appropriate formulas used.
  2. Describe the meaning, uses, and techniques of analysis of variance for a two-way classification.
  3. Construct an empirical probability distribution of cyclones based on given relative frequency data.

[12]

  1. What is Chi-square test of goodness of fit? Discuss its uses and limitations.
  2. What is simulation? Discuss its applications in business management.
  3. Test the claim that only 4% of the apples supplied by a wholesaler are defective using sample data.

[13]

  1. Differentiate between Regression and Correlation.
  2. What is the need of Bibliography?
  3. Calculate the coefficient of correlation by Rank-Difference Method using given scores of students in Maths and Science.

[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. What do you mean by qualitative research? Describe its nature, steps, and characteristics.

[15]

  1. Describe the chi square test of significance and state its various uses.
  2. One card is drawn from a standard pack of 52. What is the probability that it is either a king or a queen?
  3. Given data for two tests in English and Hindi, work out the regression equations.

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