When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?

The 68% confidence interval is wider than the 90% confidence interval.
The 90% confidence interval is narrower than the 95% confidence interval.
The 90% confidence interval is wider than the 99% confidence interval.
The 99% confidence interval is narrower than the 68% confidence interval

Respuesta :

A bigger confidence interval means that more values are included

Then, an interval of 68% is narrower than 90%, which is narrower than 95%, which is narrower than 98%.

The only option of the list that is right is the second one.

Answer: the 90% confidence interval is narrower than the 95% confidence interval.

The statistical inference would greatly depend on the data that is presented in the study.

What is a statistical inference?

The term statistical inference has to do with the conclusion that a person draws from the data presented. It is normally based on empirical study. The question is incomplete because the data is not shown here.

Hence, we can conclude that the statistical inference would greatly depend on the data that is presented in the study.

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