The registrar's office at State University would like to determine a 95% confidence interval for the mean commute time of its students. A member of the staff randomly chooses a parking lot and surveys the first 125 students who park in the chosen lot on a given day. The confidence interval is

A) not meaningful because of the lack of random sampling.
B) not meaningful because the sampling distribution of the sample mean is not normal.
C) meaningful because the sample is representative of the population.
D) meaningful because the sample size exceeds 30 and the Central Limit Theorem ensures normality of the sampling distribution of the sample mean.

Question

The registrar's office at State University would like to determine a 95% confidence interval for the mean commute time of its students. A member of the staff randomly chooses a parking lot and surveys the first 125 students who park in the chosen lot on a given day. The confidence interval is

A) not meaningful because of the lack of random sampling.
B) not meaningful because the sampling distribution of the sample mean is not normal.
C) meaningful because the sample is representative of the population.
D) meaningful because the sample size exceeds 30 and the Central Limit Theorem ensures normality of the sampling distribution of the sample mean.

Quizplus · Accepted Answer

The Answer of The registrar's office at State University would like to determine a 95% confidence interval for the mean commute time of its students. A member of the staff randomly chooses a parking lot and surveys the first 125 students who park in the chosen lot on a given day. The confidence interval is

A) not meaningful because of the lack of random sampling.
B) not meaningful because the sampling distribution of the sample mean is not normal.
C) meaningful because the sample is representative of the population.
D) meaningful because the sample size exceeds 30 and the Central Limit Theorem ensures normality of the sampling distribution of the sample mean.

The Registrar's Office at State University Would Like to Determine