3. [10 points] Clearly circle the correct conclusion from the following statemen

Question

3. [10 points] Clearly circle the correct conclusion from the following statements. If the confidence level increases, then the width of the confidence interval increases True False If we reject Ho of a two-sided test, with 5% significance, then the true mean value lies within the 95% confidence interval. True False False If we compute 100 confidence intervals with 5% significance, then 95 will not hold the population's true mean (?). True False Numerical descriptive measures of a population are called parameters True False If the sample size decreases, then the width of the confidence interval decreases True

Explanation / Answer

If the confidence level increases, then the width of the confidence interval increases.

True   ( If we increase confidence level, error will increases and so as width of CI)

If we reject Ho of a two sided test, with 5% significance, then the true mean value lies within the 95% Confidence interval.

False ( if we reject Ho then true mean will lie outside the confidence interval)

If we compute 100 confidence intervals with 5% significance, then 95 will not hold the population's true mean

False

Numerical descriptive measures of population are called parameters.

True

If the sample size decrease, then width of the CI decrease.

False   (As sample size decreases, error increases so as width )

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