quiz factors that affect ci width

Calculate the margin-of-error for a 2SD confidence interval. Round to two decimal places.

Calculate the lower bound of your 2SD confidence interval using the MOE from the previous question. Round to 2 decimal places.

Calculate the upper bound of a 2SD CI using the MOE from the first question. Round to 2 decimal places.

Could the theory based approach be used to calculate a CI for this data?

Yes, because there are at least 10 successes and failures.

Yes, because the sample size is greater than 20 and the data is not too strongly skewed.

I don’t know but this might be the right answer.

There is not enough information to answer this question.

Without recalculating the CI, if the sample size were smaller than n = 286, would the width of the CI become wider, narrower, or remain the same?

Group of answer choices

The width of the CI will remain the same.

The width of the CI will become narrower.

The width of the CI will become wider.

Without recalculating and using the original sample size of n = 286, if the confidence level were increased from 95% to 99.9%, would the width of the interval become wider, narrower, or remain the same?

Group of answer choices

The width of the CI will become narrower.

The width of the CI will become wider.

The width of the CI will remain the same.

Suppose Bobby Bashful conducts the same study but with a sample size of n=185. He calculates a 99.9% CI for the mean hours spent watching Netflix for Joliet, IL residents to be (4.38, 6.12). Is it possible that
$\mathrm{μ}=4$?

Group of answer choices

No

Yes

Not enough information.

Use the same CI as in the previous problem, a 99.9% CI for the mean hours spent watching Netflix for Joliet, IL residents is (4.38, 6.12). Does this interval contain
$\mathrm{μ}$?

Group of answer choices

Yes

No

Probably

Assume that a 99.9% CI for the mean hours spent watching Netflix for Joliet, IL residents is (4.38, 6.12). Which of the following are plausible values for
$\mathrm{μ}$? Mark all that apply.

Group of answer choices

6.18

4.22 hours

5.92 hours

5.54 hours

 

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