Question

Utilize the following information and answer the questions below: A 95% confidence interval obtained from a sample of 100 outpatients for the true population mean normal mean systolic blood pressure is given by (114 mmHG, 120 mmHG).

Construct the confidence interval. Provide a correct interpretation of this interval. Can you think of other interpretations that would also be correct?

This confidence interval came from a single sample, would we get the same interval if we obtained a different set of 100 patients? What does this imply about your interpretation of the given interval?

If we wanted a 99% confidence interval instead, can you tell whether it would be narrower or wider? Can you tell by how much?

Answer 1

Solution:

- This interval means that you can be 95% confident that the population mean of outpatients is between 114mmHG and 120mmHG.

Also it can be interpreted that you can 95% confident that you will obtain mean of outpatients BP between 114mmHG and 120mmHG when you take another random sample from the population

- No. This shows that a given interval just predicts the range of the mean not interval

- The interval could be wider by tα_0.001*s/√n/ tα_0.05*s/√n