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Important Questions for "Statistical Analysis":

[1]

  1. Describe population and its types with suitable examples.
  2. Distinguish between defect and defective items with suitable examples.
  3. Define statistical control charts and describe specification and tolerance limits.

[2]

  1. What is meant by probability? What are its limitations?
  2. Distinguish between Error of Type I and Error of Type II.
  3. Is a coin biased if it falls towards the head 460 times out of 1000 tosses?

[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. What is the Quality Control chart? Describe the various control charts for variables and attributes.

[4]

  1. Explain internal and external sources of data.
  2. Write down the equation connecting mean, median, and mode.
  3. Using the method of least squares, fit a curve of the form y=axb to the given data.

[5]

  1. 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.
  2. Construct a pie-chart for the provided city population data (children, adults, and old).
  3. Explain the role of statistics in decision-making.

[6]

  1. Give formula of Newton-Raphson method.
  2. Determine the form of the function based on the provided table of x and f(x).
  3. Calculate linear regression coefficients using the provided data points.

[7]

  1. Explain the concept of T-Test.
  2. What do you mean by Z test?
  3. What is meant by Theoretical Frequency Distribution? Discuss its importance.

[8]

  1. Explain the statistical analysis of Latin Square Design.
  2. Define 'Less than' and 'More than' ogives with examples.
  3. What are the components of Bioinformatics?

[9]

  1. Explain the complete statistical analysis of Completely Randomized Block Design.
  2. Explain randomization in Design of Experiment.
  3. Calculate the standard deviation of the given marks obtained by students.

[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. 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. Find the probability that a specific player gets all four Kings in a card game.
  3. Analyze the effect of a stimulus on blood pressure changes across 12 patients and determine if it leads to an increase.

[12]

  1. What is simulation? Discuss its applications in business management.
  2. Perform an analysis of variance to determine whether three varieties of wheat differ significantly in yield.
  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. Write the steps of research proposal preparation in a systematic order and discuss the importance of each element in the process.
  3. Describe the normal probability curve and its important features.

[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. Define probability and explain the importance of this concept in statistics.
  3. What do you understand by sampling? Discuss its role in economic analysis.

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