Question

A confidence interval for a population mean has a margin of error of 3.6. a. Determine the length of the confidence interval. b. If the sample mean is 52.3, obtain the confidence interval. c. Construct a graph that illustrates your results.

a. The length of the confidence interval is (Type an integer or a decimal. Do not round.)▭

Answer 1

a. The length of the confidence interval is 7.2. b. The confidence interval is (48.7, 55.9) if the sample mean is 52.3. c. The graph shows the sample mean with upper and lower bounds.

Step-by-step explanation:

a. The length of the confidence interval is 7.2.

b. To obtain the confidence interval, we add and subtract the margin of error from the sample mean. Therefore, the confidence interval is (48.7, 55.9).

c. The graph illustrating the results would show a horizontal line at the sample mean (52.3) with two vertical lines representing the upper and lower bounds of the confidence interval.