Parking at a large university can be extremely difficult at times. One particular university is trying to determine the location of a new parking garage. As part of their research, officials are interested
In estimating the average parking time of students from within the various colleges on campus. A
Survey of 338 College of Business (COBA)students yields the following descriptive information
Regarding the length of time (in minutes)it took them to find a parking spot. Note that the ʺLo
95%ʺ and ʺUp 95%ʺ refer to the endpoints of the desired confidence interval. $$\begin{array} { l c c c c c }
\text { Variable } & \text { N } & \text { Lo 95\% CI } & \text { Mean } & \text { Up 95\% CI } & \text { SD } \
\text { Parking Time } & 338 & 9.1944 & 10.466 & 11.738 & 11.885
\end{array}$$ Explain what the phrase ʺ95% confidentʺ means when working with a 95% confidence interval.
A)In repeated sampling, 95% of the population means will fall within the interval created.
B)In repeated sampling, 95% of the intervals created will contain the population mean.
C)95% of the observations in the population will fall within the endpoints of the interval.
D)In repeated sampling, 95% of the sample means will fall within the interval created.

Question

Parking at a large university can be extremely difficult at times. One particular university is trying to determine the location of a new parking garage. As part of their research, officials are interested
In estimating the average parking time of students from within the various colleges on campus. A
Survey of 338 College of Business (COBA)students yields the following descriptive information
Regarding the length of time (in minutes)it took them to find a parking spot. Note that the ʺLo
95%ʺ and ʺUp 95%ʺ refer to the endpoints of the desired confidence interval. $$\begin{array} { l c c c c c } 
\text { Variable } & \text { N } & \text { Lo 95\% CI } & \text { Mean } & \text { Up 95\% CI } & \text { SD } \
\text { Parking Time } & 338 & 9.1944 & 10.466 & 11.738 & 11.885
\end{array}$$ Explain what the phrase ʺ95% confidentʺ means when working with a 95% confidence interval.
A)In repeated sampling, 95% of the population means will fall within the interval created.
B)In repeated sampling, 95% of the intervals created will contain the population mean.
C)95% of the observations in the population will fall within the endpoints of the interval.
D)In repeated sampling, 95% of the sample means will fall within the interval created.

Quizplus · Accepted Answer

The phrase "95% confident" in the context of a 95% confidence interval means that if we were to take many samples and compute a confidence interval for each sample, we would expect 95% of those intervals to contain the true population mean. This is a statement about the procedure of constructing confidence intervals, not about the probability of a single interval containing the population mean or the distribution of individual observations.

Parking at a Large University Can Be Extremely Difficult at Times