Interpret a Confidence Interval
Authored by Barbara White
Mathematics
11th - 12th Grade
Used 1+ times
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14 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the format for interpreting a confidence interval?
The interval from ___ to ___ captures the true mean in context.
C% of samples of the same size taken from the same population will capture the parameter in question
There is convincing evidence that C% gives the interval (___, ___) capturing the parameter in question.
We are C% confident that the interval from ___ to ___ captures the [parameter in context].
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Suppose that $51,759 was the median income for all households in 2012. Does the interval ($51,484, $52,394) provide convincing evidence that the median household income increased in 2013?
Yes
No
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
In a recent poll of 803 randomly selected baseball fans in Connecticut, 44% said their favorite team was the Yankees. If researchers wanted to reduce the margin of error to at most 2%, how many baseball fans do they have to randomly select?
1564
2367
803
3170
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which of the following changes to a study would result in a narrower confidence interval?
increasing the confidence level, increasing the sample size
decreasing the confidence level, decreasing the sample size
increasing the confidence level, decreasing the sample size
decreasing the confidence level, increasing the sample size.
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A 90% confidence interval for a population mean is determined to be 800 to 900. If the confidence is increased to 95% confidence while the sample statistics and sample size remain the same, the confidence interval
becomes wider
becomes narrower
does not change
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Agricultural researchers plant 100 plots with a new variety of corn and measure the mean yield for these plots in bushels per acre. They treat the 100 plots as a simple random sample of possible plots of corn (as researchers often do) and report a 95% confidence interval for the mean corn yield of (128.4, 131.6) bushels per acre. Which of the following is a correct interpretation of the 95% confidence level?
We are 95% confident that the true mean yield for this new variety of corn is captured by the interval (128.4, 131.6) bushels per acre
If many intervals were constructed this way from many independent sets of 100 plots, 95% of the intervals would capture the true mean corn yield.
If many intervals were constructed this way from many independent sets of 100 plots, 95% of the time the true mean corn yield would be in the interval (128.4, 131.6) bushels per acre.
7.
MULTIPLE CHOICE QUESTION
2 mins • 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, $154,144). Give a practical 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.
90% of all 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.
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