One year, the mean age of an inmate on death row was 40.9 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 39.4, with a standard deviation of 9.5. 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. Ho: ▼ H₁: ▼ ▼ (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between What does the interval imply? years and years. (Round to two decimal places as needed.) O 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. OB. 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. O C. 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. O 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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One year, the mean age of an inmate on death row was 40.9 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 39.4, with a standard deviation of 9.5. 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.
Ho:
H₁:
(Type integers or decimals. Do not round.)
Construct a 95% confidence interval about the mean age.
With 95% confidence, the mean age of a death row inmate is between
What does the interval imply?
years and
years. (Round to two decimal places as needed.)
O 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 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 not sufficient evidence to conclude that the mean age had changed.
O 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.
Transcribed Image Text:One year, the mean age of an inmate on death row was 40.9 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 39.4, with a standard deviation of 9.5. 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. Ho: H₁: (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between What does the interval imply? years and years. (Round to two decimal places as needed.) O 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 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 not sufficient evidence to conclude that the mean age had changed. O 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.
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