Skip to content

Punjab (PTB) · Chapter test · Free

2nd Year Statistics Chapter 4 TestHypothesis Testing

30 marks · 40 minutes · 21 questions. Covers: CHAP 13: Hypothesis Testing .

Your school name

2nd Year Statistics Chapter 4 Test

2nd Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

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

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

  2. The critical region for  when  is:

  3. For a particular hypothesis test,  and . The power of the test is equal to

    1. 0.14

    2. 0.90

    3. 0.95

    4. 0.25

  4. A good scheme of education is rejected by Education Department. It is an example of:

    1. Type I error

    2. Type II error

    3. Correct decision

    4. None of these

  5. To test hypotheses about the mean of a normal population with a known standard deviation, we can compare:

    1. The observed value of  with the critical value of 

    2. The observed value of  with the critical value of z

    3. The observed value of z with the critical value of z

    4. Either (a) or (c)

  6. For , the critical values of z for two-tailed test are equal to:

    1. -2.58 and 2.58

    2. -2.33 and 2.33

    3. -1.645 and 1.645

    4. -1.96 and 1.98

  7. The hypothesis which is to be tested for possible rejection is:

    1. Simple

    2. Composite

    3. Null

    4. Alternative

  8. If a hypothesis does not completely specify the value of all parameters, then it is called:

    1. Composite hypothesis

    2. Null hypothesis

    3. Alternative hypothesis

    4. Simple hypothesis

  9. For , the critical values of z for two-tailed test are equal to:

    1. -1.96 and 1.96

    2. -2.33 and 2.33

    3. -1.645 and 1.645

    4. -1.28 and 1.28

  10. 'A deserving player is not selected in the team'. It is an example of:

    1. Type I error

    2. Type II error

    3. Correct decision

    4. None of these

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Define Type II error with example.

  2. Distinguish/Differentiate between simple and composite hypotheses.

  3. What is meant by critical region?

  4. How do you select a best test of a statistical hypothesis?

  5. Explain what is meant by test.

  6. Given , then find the degree of freedom for t while comparing two population means.

  7. Formulate alternative hypothesis from the following null hypotheses:  vs H1 : ?

  8. What is critical value or rejection region?

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. 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 .

  2. The lives in hours of 10 bulbs were found to be 1250, 1187, 1201, 1300, 1100, 1050, 1240, 1150, 1075, 1260. Test the hypothesis that the mean life in the population of bulbs is 1200 hours at (i) 5% (ii) 1% level of significance.

  3. For the following, a random sample of size n is taken from a normal distribution with mean  and variance . The sample mean is . Test the hypothesis stated, at the level of significance indicated. 

    Sample n Hypotheses Level of Significance
    H0 H1
    (i) 65 100 842.4 5%