Confidence Intervals
Authored by Andrew Burns
Mathematics
9th - 12th Grade
CCSS covered
Used 36+ times
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24 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.
What is the point estimate?
75
105.2
10
0.90
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.
Find the critical value.
0.90
2.575
1.645
1.96
Tags
CCSS.HSS.ID.A.4
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.
Find the Margin of Error to two decimal places.
1.90
1.89
1.899
1.99
Tags
CCSS.HSS.IC.B.4
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The lifetime of a certain type of batter is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery.
What is the Confidence Interval to one decimal place?
(114.5, 125.6)
(112.8, 127.4)
(112.82, 127.38)
(114.56, 125.64)
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the 95% Confidence Interval for a population mean is (114.56, 125.54), then is it likely that the true population mean µ is greater than 130?
Yes
No
Not enough information
I have no idea what you're asking of me
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A population has a standard deviation of σ = 17.3. How large of a sample must be drawn so that a 95% confidence interval for µ will have a Margin of Error equal to 1.4?
586.6
587
586
585
Tags
CCSS.HSS.IC.B.4
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the Critical Value for an 86% Confidence Level.
-1.48
1.48
1.282
-1.47
Tags
CCSS.HSS.ID.A.4
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