The focus this week is on confidence intervals. Utilize the following informatio
ID: 3300604 • Letter: T
Question
The focus this week is on confidence intervals. 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).
a. Provide a correct interpretation of this interval. Can you think of other interpretations that would also be correct?
b. 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?
c. If we wanted a 99% confidence interval instead, can you tell whether it would be narrower or wider? Can you tell by how much?
Explanation / Answer
Q1.
interpretations:
1. we are 95% sure that the interval (114 mmHG, 120 mmHG) contains the true population mean
2. if a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contains the true population mean
Q2.
if we obtained a different set of 100 patients we would n't be get the same interval as confidence level changes
based on the level of marginal error value
Q3.
it would be wider , as z value is larger when compared to 95% confidence