Confidence Interval Interpretations
Authored by Wendy Peske
Mathematics
12th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that 95% confidence interval for the mean number of hours that adults sleep at night is found to be (6.55,8.25) from a sleep lab experiment. Is the following statement correct?
95% of the time, the number of hours people sleep is between 6.55 and 8.25 hours.
Correct
Incorrect
Answer explanation
Incorrect because 95% confidence intervals do not contain 95% of the measurements.
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that 95% confidence interval for the mean number of hours that adults sleep at night is found to be (6.55,8.25) from a sleep lab experiment. Is the following statement correct?
95% of the confidence intervals constructed by this method will contain the mean number of hours that adults sleep at night.
Correct
Incorrect
Answer explanation
Incorrect because this is an interpretation of the confidence level, not the confidence interval.
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that 95% confidence interval for the mean number of hours that adults sleep at night is found to be (6.55,8.25) from a sleep lab experiment. Is the following statement correct?
We are 95% confident that the mean number of hours that adults sleep at night is between 6.55 hour and 8.25 hours.
Correct
Incorrect
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Correct
Incorrect
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that 95% confidence interval for the mean number of hours that adults sleep at night is found to be (6.55,8.25) from a sleep lab experiment. Is the following statement correct?
95% of the confidence intervals we construct will give us the interval (6.55, 8.25)
Correct
Incorrect
Answer explanation
Incorrect because confidence intervals will vary due to natural variation in the samples collected.
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that 95% confidence interval for the mean number of hours that adults sleep at night is found to be (6.55,8.25) from a sleep lab experiment. Is the following statement correct?
There is a 95% probability that the mean number of hours that adults sleep is between 6.55 and 8.25 hours.
Correct
Incorrect
Answer explanation
Incorrect because the interval has already been collected. We cannot talk about probability after the event, the interval either contains the true mean or not.
Tags
CCSS.HSS.IC.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that 95% confidence interval for the mean number of hours that adults sleep at night is found to be (6.55,8.25) from a sleep lab experiment. Is the following statement correct?
If 100 random samples of the given size are picked and a 95% confidence interval is calculated from each sample, then the mean number of hours that adults sleep will be in approximately 95 of the resulting intervals.
Correct
Incorrect
Answer explanation
Incorrect because this is an interpretation of the confidence level, not the confidence interval.
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
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