This set of Probability and Statistics Quiz focuses on "Testing of Hypothesis Concerning Single Population Mean".

IF IM NOT SATISFIED WITH YOUR ANSWER, I WILL UNHELPFUL. Im just being honest here

1. What is the assumption made for performing the hypothesis test with T distribution?

a) the distribution is non-symmetric

b) the distribution has more than one modal class

c) the distribution has a constant variance

d) the distribution follows a normal distribution

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2. If a hypothesis is rejected at 0.6 Level of Significance then ______________

a) it will be rejected at any level

b) it must be rejected at 0.5 level

c) it may be rejected at 0.5 level

d) it cannot be rejected at 0.5 level

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3. In a two tailed test when a Null Hypothesis is rejected for a True Alternative Hypothesis then it has ____________

a) Type 1 error

b) Type 2 error

c) No error

d) Many errors

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4. In a hypothesis test, what does the p value signify?

a) smallest level of significance for rejection of Null Hypothesis

b) largest level of significance for rejection of Null Hypothesis

c) smallest level of significance for acceptance of Null Hypothesis

d) smallest level of significance for acceptance of Null Hypothesis

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5. A Null Hypothesis has Level of Significance 9%. For what values of Level of Significances it will be rejected?

a) 0.99

b) 0.009

c) 0.099

d) 0.9

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6. Consider a trial of a criminal. If a type 1 error has occurred in thee judgement then which of the following statement is true?

a) a guilty person is set free

b) an innocent person is convicted

c) a guilty person is convicted

d) an innocent person is set free

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7. If a Null Hypothesis is accepted then the value of Test statistic lies in the ____________

a) Acceptance region

b) Rejection region

c) Critical region

d) Sample region

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8. The Test Statistic for a Hypothesis testing is given by the formula ____________

a) Sample-Population/Standard Error

b) Sample statistic-Parameter/Standard Error

c) Sample mean-Population mean/Population standard deviation

d) Statistic-E(statistic)/Variance

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Answer: b

Explanation: The Test Statistic of a hypothesis is given as the Sample statistic-Parameter/Standard Error.

The Test statistic provides a basis for testing a Null Hypothesis.

9. The range of Level of Significance lies between ____________

a) - and 0

b) - and

c) 0 and

d) 0 and 1

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10. The effect of rejection of a hypothesis with decrease in sample size ____________

a) decreases

b) increases

c) remains constant

d) fluctuates