Question 1 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A study was conducted to determine the true mean hourly wage of all working high school students. A 95% confidence interval for the true mean hourly wage of high school students is ($6.50, $13.00). Based upon this interval, what conclusion should be made about the hypotheses: = 15 versus where = the true mean hourly income of all working high school students at α = 0.05?
Answer
A
Reject H0. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is greater than $15.
B
Reject H0. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is different than $15.
C
Fail to reject H0. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is greater than $15.
D
Fail to reject H0. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is different than $15.