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Punjab (PTB) · Full book test · Free

2nd Year Statistics Full Book Paper

75 marks · 2 hours 30 minutes · 39 questions. Covers: 8 chapters (CHAP 10: Normal Distribution to CHAP 17: Orientation Of Computers ).

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2nd Year Statistics Full Book Paper

2nd Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 75Time: 2 hours 30 minutes

Q1. Multiple choice questions (Attempt all · 15 × 1 = 15)

  1. The formula for the regression coefficient of y on x is:

  2. If the two attributes A and B have perfect negative association, then the Yates coefficient of Association is equal to:

    1. +1

    2. 0.87

    3. -1

    4. -0.83

  3. A sample of size n is called a small sample if n is:

    1. Less than 30

    2. Greater than or equal to 30

    3. Equal to 30

    4. Less than or equal to 30

  4. In a normal distribution , Q1 is equal to:

  5. If an annual time series consisting of an even number of years is coded, then each coded interval is equal to:

    1. One year

    2. Half year

    3. Two years

    4. None of these

  6. The standard error increase when the sample size is:

    1. Increased

    2. Decreased

    3. Fixed

    4. Small

  7. When the null hypothesis is , the alternative hypothesis for a "less than" test of hypothesis is:

  8. The standard keyboards has buttons:

    1. 100

    2. 101

    3. 103

    4. 102

  9. y is the ...... of two regression coefficients bxy and byx

    1. Arithmetic Mean

    2. Geometric Mean

    3. Harmonic Mean

    4. None of these

  10. A characteristic which varies in quality from one individual to another is called:

    1. Variable

    2. Statistics

    3. Attributes

    4. Regression

  11. For , the critical value for two tailed test is equal to:

    1. 1.96

    2. 2.33

    3. 1.28

    4. 2.58

  12. In a standard normal distribution, Q1 is equal to:

    1. 0.7979

    2. 0.6745

    3. -0.6745

    4. -0.7979

  13. Increase is demand of ice in summer is an example of:

    1. Secular trend

    2. Seasonal variation

    3. Cyclical variation

    4. Random variation

  14. The population about which some information is required is called:

    1. Finite population

    2. Infinite population

    3. Target population

    4. Sampled population

  15. The critical region for  when  is:

Q2. Short questions (Attempt any 12 of 18 · 12 × 2 = 24)

  1. Define Type II error with example.

  2. The grade-point averages of 300 college freshmen follow approximately a normal distribution with a mean of 2.1 and a standard deviation of 0.8. How many of these freshmen would you expect to have a score between 2.5 and 3.5 inclusive if the point averages are computed to the nearest tenth?

  3. Define 'signal' and 'noise'.

  4. Given n = 9, and , find and .

  5. Explain the term data.

  6. What is rank correlation?

  7. Explain correlation and causation.

  8. When setting a two-sided  confidence interval for , based on a random sample of size n from a normal population, how the following change will affect the length of the confidence interval for ; (Assume all other quantities remain fixed.) decreasing 

  9. Distinguish/Differentiate between simple and composite hypotheses.

  10. If the random variable Z has the standard normal distribution, find. (i) P(Z>1.96)

  11. What is forecasting?

  12. Explain the properties of the sampling distribution of a mean.

  13. What are the main distinctions between storage and memory?

  14. What is the criterion of independence with respect to the two attributes A and B?

  15. Determine the estimated regression equation  in the following case: n = 8, .

  16. Specify the estimator and the estimate in the following: A sample of 35 students gave an average height of 62 inches.

  17. What is meant by critical region?

  18. If  find. (i) P(|Z| < 3)

Q3. Long questions (Attempt any 4 of 6 · 4 × 9 = 36)

  1. Explain the Control Unit.

  2. If the linear trend in the data for the years 1960 to 1965 both inclusive with origin at the middle of 1962 and 1963 is , the unit of x being one year, then determine the trend line with origin at 1960 and hence determine the trend values.

  3. Give that:  and assuming that the two samples were randomly selected from two normal populations in which  (but unknown), calculate an 80% confidence interval for the difference between the two population means.

  4. Two samples of sizes 400 and 300 having means 52 and 50 are drawn from the same population of s.d. 3. Test the hypothesis  vs. . Use .

  5. Find correlation coefficient for the following information. , Sx = 7.73, Sy = 8.04, n = 10.

  6. From the given rankings of 10 students in Statistics and Economics

    Statistics (x) 1 2 3 4 5 6 7 8 9 10
    Economics (y) 2 4 3 1 7 5 8 10 6 9

    Compute the coefficient of rank correlation.