The time needed for college students to complete a certain paper-and-pencil maze
ID: 3066015 • Letter: T
Question
The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean time is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that remains unchanged at 3 seconds. The hypotheses you decide to test are H0: = 30 versus Ha: 30. Suppose you compute the average time that it takes these students to complete the maze and you find that the results are significant at the 5% level. What can you conclude?
A)
The test would also be significant at the 10% level.
B)
The test would also be significant at the 1% level.
C)
Both of the above
D)
None of the above
The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean time is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that remains unchanged at 3 seconds. The hypotheses you decide to test are H0: = 30 versus Ha: 30. Suppose you compute the average time that it takes these students to complete the maze and you find that the results are significant at the 5% level. What can you conclude?
A)
The test would also be significant at the 10% level.
B)
The test would also be significant at the 1% level.
C)
Both of the above
D)
None of the above
Explanation / Answer
Answer:
Results for the test are significant at the 5% level of significance.
This means, P-value < = 0.05
This means, P-value < = 0.10
So, test would also be significant at the 10% level.
But, P-value < = 0.05, does not implies that P-value would be less than = 0.01, it may be 0.04, 0.03, 0.02, or any other value lies between 0.01 and 0.05.
So, correct answer is A.
The test would also be significant at the 10% level.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.