A commonly cited standard for one-way length (duration) of school bus rides for

Question

A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area randomly samples 100 elementary school children in their district and find an average one-way commute time of 38 minutes with a standard deviation of 8 minutes. A 95% confidence interval calculated based on this sample is (36.4, 39.6). Which of the following is the correct interpretation of this interval?

A. 95% of the time the elementary school children in this district commute to school in 36.4 to 39.6 minutes.

B. We are 95% confident that the average commute time of elementary school children in this sample is between 36.4 and 39.6 minutes.

C. We are 95% confident that the average commute time of all elementary school children in this district is between 36.4 and 39.6 minutes.

D. 95% of random samples yield a sample mean between 36.4 and 39.6 minutes.

Explanation / Answer

Answer:

C. We are 95% confident that the average commute time of all elementary school children in this district is between 36.4 and 39.6 minutes.

Explanation:

For the 95% confidence interval, we are 95% confident or there is 0.95 probability that the population mean contains in the given confidence interval. For the given scenario, the population under study is all elementary school children in the district.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.