One year, the mean age of an inmate on death row was 39.2 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.6, with a standard deviation of 9.9. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. Choose the correct hypotheses. H0: H1: (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. The lower bound is The upper bound is (Round to two decimal places as needed.) What does the interval imply? A. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. C. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. D. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
Added by Sara M.
Close
Step 1
The null hypothesis (H0) is that the mean age has not changed, so the mean age is still 39.2 years. The alternative hypothesis (H1) is that the mean age has changed, so the mean age is not 39.2 years. H0: μ = 39.2 H1: μ ā 39.2 Show moreā¦
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 59 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Ariana N.
One year, the mean age of an inmate on death row was 39.5 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.9, with a standard deviation of 8.1. Construct a 95% confidence interval about the mean age. What does the interval imply? Choose the correct hypotheses. Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between years and years. (Round to two decimal places as needed.) What does the interval imply? A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. D. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
Jon S.
One year, the mean age of an inmate on death row was 38.8 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 36.8, with a standard deviation of 8.8. Construct a 95% confidence interval about the mean age. What does the interval imply? A) Choose the correct hypotheses. B) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between ____ years and ____ years. (Round to two decimal places as needed.) C) What does the interval imply? A. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. D. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
Marc L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD