Question
Asked By StormChaser83 at
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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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