A. The CTA has a database of travel times on the blue line ever sense it began running. An analyst pulls a report of all the travel times from the UIC stop to the Oak Park stop. The average is 14 and the standard deviation is 4. B. The analyst calculates 81 average travel times based on a random sample of 49 travel times in each sample. A subset of these averages is 14.5, 16.8, 17.2, etc.
C. One of the sets of 49 travel times has values such as 12, 14, 18, 17, etc.
1. Indicate which of the three is a sample distribution.
A. Choice A
B. Choice B
C. Choice C
2. Indicate which of the three is the population distribution
A. Choice A
B. Choice B
C. Choice C
3. Indicate which of the three is a sampling distribution
A. Choice A
B. Choice B
C. Choice C
4. According to the Central Limit Theorem (and only the Central Limit Theorem) what will be the average of the sampling distribution
A) 14
B) 4/2
C) 14/81
D) 4/7
5. According to the Central Limit Theorem (and only the Central Limit Theorem) what will be the standard deviation of the sampling distribution
A) 14
B) 4/6
C) 14/10
D) 4/7
6. According to the Central Limit Theorem (and only the Central Limit Theorem) what will be the shape of the sampling distribution
A) Regular
B) Normal
C) Non-normal
D) Rectangular
7. Now suppose that the analyst calculates 100 averages each with a random set of 36 travel times in each sample. What will be the standard deviation of the sampling distribution. All other facts are the same.
A) 14
B) 4/6
C) 14/10
D) 4/7
8. Which of the two sampling distributions will have a WIDER spread?
A) The first
B) The second