
Confidence Intervals for Means
Authored by Jason Scott
Mathematics
11th Grade
CCSS covered
Used 1+ times

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7 questions
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1.
MULTIPLE CHOICE QUESTION
2 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.
Tags
CCSS.HSS.IC.B.4
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Thirty randomly selected students took the calculus final. If the sample mean was 92 and the standard deviation was 9.4, construct a 99 percent confidence interval for the mean score of all students from which the sample was gathered.
89.08 < μ < 94.92
87.27 < μ < 96.73
87.29 < μ < 96.71
87.77 < μ < 96.23
Tags
CCSS.HSS.IC.B.4
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which of the following does NOT have an affect on the width of a confidence interval?
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a crash test of 15 troopers, collision repair costs are found to have a distribution that is approximately normal, with a mean of $1800 and a standard deviation of $950. Construct a 99% confidence interval for the repair cost for the population.
(1070, 2530)
(1273, 2326)
(1799, 1801)
(1776, 1823)
Tags
CCSS.HSS.IC.B.4
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 13.2, 5.1, 7.5, 8.0, 12.7, 7.6, 13.8, 14.5, 7.7, and 10.5. Determine a 95 percent confidence interval for the mean time for all players.
Tags
CCSS.HSS.IC.B.4
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
How do you calculate degrees of freedom?
n
n+1
1-n
n-1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was $139,048 to $154,144. Give the interpretation of the interval.
90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144
We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
There is a 90% chance that CEOs in the electronics industry have salaries that fall between $139,048 to $154,144
We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
Tags
CCSS.HSS.IC.B.4
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