2nd Year Statistics Chapter 3 TestEstimation

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. 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

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

   1. 1.96

   2. 2.33

   3. 1.28

   4. 2.58

3. For small sample size and unknown population standard deviation the confidence interval for the population mean  is based on:

   1. The normal distribution

   2. The "" distribution

   3. The binomial distribution

   4. The hypergeometric distribution

4. The following statistics are unbiased estimators:

   1. 

   2. 

   3. s² with n - 1 as divisor

   4. All a, b and c

5. A function/rule or formula that is used estimate a parameter is called:

   1. Estimate

   2. Estimator

   3. Estimation

   4. Bias

6. The 95% confidence interval for the population proportion p is 40% to 60%, the value of the sample proportion  is:

   1. 40%

   2. 60%

   3. 50%

   4. Outside the given range

7. If , then  is

   1. Biased

   2. Unbiased

   3. Positively biased

   4. None of these

8. For a small sample size, with known  the 99% confidence interval for the population mean  will be:

   1. 

   2. 

   3. 

   4. Both b and c and not "a"

9. If population proportion (p) is unknown, the standard error of the sample proportion (P) can be estimated by the formula:

   1. 

   2. 

   3. 

   4. 

10. When , then E(s²) is equal to:

    1. 

    2. 

    3. 

    4. None of these