
Intro to Confidence Intervals
Authored by Barbara White
Mathematics
12th Grade

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7 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the standard deviation of the distribution?
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
You sample 16 students in your school, and they average 13 hours of TV a week. Assume the standard deviation is 3. Find a 99% Confidence Interval.
Which of the following is incorrect?
μ = 13
σ = 3
Z = 1.645
n = 16
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
True or False:
The larger your confidence interval is, the more sure (higher confidence level) you can be.
True
False
4.
MULTIPLE CHOICE QUESTION
15 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 (z) value.
0.90
1.155
1.645
±1.645
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which one is the correct setup for this scenario?
300 hundred eggs were randomly chosen from a fish.
The mean weight was 0.978 g with a standard deviation of
0.042. Find the 95% confidence interval for the mean weight of the salmon eggs.
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
300 hundred eggs were randomly chosen from a fish.
The mean weight was 0.978 g with a standard deviation of
0.042. Find the 95% confidence interval for the mean weight of the salmon eggs.
(0.973, 0.983)
(1.936, 1.984)
(0.971, 0.988)
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.
We are 95% confident that the interval (150, 350) captures the true average caloric content.
We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
None of these are correct.
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