Confidence Interval Worksheet
This worksheet focuses on understanding and calculating confidence intervals for grade 10 students, covering key concepts and applications.
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Confidence Interval Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for calculations.
1. What does a 95% confidence interval mean?
There is a 95% chance that the sample mean is equal to the population mean.
If we take 100 samples, approximately 95 of them will contain the true population mean.
The population mean is 95% of the sample mean.
The data is 95% accurate.
2. Which of the following will decrease the width of a confidence interval?
Increasing the confidence level
Decreasing the sample size
Decreasing the standard deviation
All of the above
1. A confidence interval always contains the true population parameter.
True
False
2. Increasing the sample size will generally lead to a wider confidence interval.
True
False
1. A confidence interval provides a range of plausible values for a population .
2. The of a confidence interval is the probability that the interval contains the true population parameter.
3. As the sample size increases, the margin of error typically .
1. A sample of 50 students has a mean score of 75 on a test with a standard deviation of 8. Calculate a 90% confidence interval for the true mean test score of all students. (Assume the population standard deviation is known)
2. Explain the difference between a point estimate and an interval estimate.
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