Constructing Confidence Intervals
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Anthony Clark
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When constructing a confidence interval for a t-distribution (σ unknown), the data must be normally distributed, or n ≥ 30
True
False
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given a sample standard deviation "0.5", n=30, and a confidence interval "90%". Solve for the margin of error "E" for the t-distribution (σ unknown). Round your answer to the nearest hundredth.
0.16
1.18
0.19
1.06
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given a sample standard deviation "2", n=100, and a confidence interval "95%". What is the degree of freedom?
100
99
98
95
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given a sample standard deviation "5", n=100, and a confidence interval "99%". Solve for the margin of error "E" for the t-distribution (σ unknown). Round your answer to the nearest hundredth.
1.31
0.85
0.99
1.21
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given a sample standard deviation "0.5", n=30, and a confidence interval "99%". what is the critical value for the t-distribution (σ unknown). Round your answer to the nearest hundredth.
2.626
2.756
2.750
2.763
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
x̄= 50, s = 5.02, n = 16, CI=95%
Find the critical value (t) for the t-distribution (σ unknown)
2.120
2.131
1.676
1.677
7.
MULTIPLE CHOICE QUESTION
1 min • 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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