Grade 12 Math: Confidence Intervals
A worksheet for Grade 12 students covering the fundamentals of confidence intervals, including calculation and interpretation.
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Grade 12 Math: Confidence Intervals
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Read each question carefully and provide your answer in the space provided. Show all your work for calculations.
1. Which of the following is NOT a component of a confidence interval?
Sample mean
Confidence level
Population standard deviation
Margin of error
2. As the sample size increases, the width of the confidence interval generally:
Increases
Decreases
Stays the same
Cannot be determined
3. A confidence interval provides a range of values within which the true population parameter is likely to fall, with a certain level of .
4. The is the value we are trying to estimate using a confidence interval.
5. A random sample of 100 students from a large university showed that the average GPA was 3.2 with a standard deviation of 0.4. Construct a 95% confidence interval for the true mean GPA of all students at the university.
6. Explain the difference between a point estimate and an interval estimate.
7. A 99% confidence interval is wider than a 90% confidence interval for the same data.
True
False
8. Increasing the sample size always leads to a higher confidence level.
True
False
9. Consider a 95% confidence interval for a population mean. If we were to take many samples and construct a confidence interval for each, approximately how many of these intervals would contain the true population mean? Illustrate this concept by sketching a few possible confidence intervals on the number line below.