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Question

Question
Which of the following is false?

Asked By StormChaser83 at

Answered By Expert

Patrick

Expert · 2.1k answers · 2k people helped

Step 1/2

The following statement is False.

III. We can pool our estimates of the population variance if we want a narrower confidence interval for a given confidence level.

Explanation:

Pooling estimates of the population variance `s_p^2` does not necessarily gives the narrower confidence interval. It entirely depends on the magnitude of the sample variances and the sample sizes.

Step 2/2

When the samples are dependent and equal in size, then the procedure is same as ordinary one-sample test. Hence statement I is correct.

The confidence interval is narrower for larger sample size (larger degrees of freedom, `15` ) compared to the smaller sample size (smaller degrees of freedom, `10` ) . Hence statement II is correct.

Explanation:

Therefore the only false statement is mentioned in option III.

Final Answer

The correct answer is option C. III only.

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