A university that offers evening classes to a large number of students who commute to campus wants to estimate the mean commute time of all evening students. A parking facilities attendant selects one parking lot on campus, then selects the first 60 students who drive into the lot on a certain evening. Each of the 60 students is asked to provide their typical commute time to campus. The university will create a confidence interval for the mean commute time of evening students. Are the conditions for inference satisfied? (A) Yes, all conditions for inference are satisfied. (B) No, because the distribution of the population mean commute time is not known to be normally distributed. (C) No, because the sample size is greater than 10% of the population size. (D) No, because the students selected are not a random sample of all evening students. (E) No, because the sample size of 60 is not large enough to assume that the sampling distribution of the sample mean commute time is approximately normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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A university that offers evening classes to a large number of students who commute to campus wants to estimate the
mean commute time of all evening students. A parking facilities attendant selects one parking lot on campus, then
selects the first 60 students who drive into the lot on a certain evening. Each of the 60 students is asked to provide
their typical commute time to campus. The university will create a confidence interval for the mean commute time
of evening students.
Are the conditions for inference satisfied?
(A) Yes, all conditions for inference are satisfied.
(B) No, because the distribution of the population mean commute time is not known to be normally distributed.
(C) No, because the sample size is greater than 10% of the population size.
(D) No, because the students selected are not a random sample of all evening students.
(E)
No, because the sample size of 60 is not large enough to assume that the sampling distribution of the sample
mean commute time is approximately normal.
Transcribed Image Text:A university that offers evening classes to a large number of students who commute to campus wants to estimate the mean commute time of all evening students. A parking facilities attendant selects one parking lot on campus, then selects the first 60 students who drive into the lot on a certain evening. Each of the 60 students is asked to provide their typical commute time to campus. The university will create a confidence interval for the mean commute time of evening students. Are the conditions for inference satisfied? (A) Yes, all conditions for inference are satisfied. (B) No, because the distribution of the population mean commute time is not known to be normally distributed. (C) No, because the sample size is greater than 10% of the population size. (D) No, because the students selected are not a random sample of all evening students. (E) No, because the sample size of 60 is not large enough to assume that the sampling distribution of the sample mean commute time is approximately normal.
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