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Confidence Interval Worksheet

This worksheet focuses on understanding and calculating confidence intervals for grade 10 students, covering key concepts and applications.

Grade 10 Math Probability and StatisticsConfidence Interval
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Multiple ChoiceTrue / FalseFill in the BlanksShort Answer

Standards

CCSS.HSS-IC.A.4

Topics

Confidence IntervalStatisticsProbabilityMathGrade 10
6 sections · Free to use · Printable
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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?

a

There is a 95% chance that the sample mean is equal to the population mean.

b

If we take 100 samples, approximately 95 of them will contain the true population mean.

c

The population mean is 95% of the sample mean.

d

The data is 95% accurate.

2. Which of the following will decrease the width of a confidence interval?

a

Increasing the confidence level

b

Decreasing the sample size

c

Decreasing the standard deviation

d

All of the above

1. A confidence interval always contains the true population parameter.

T

True

F

False

2. Increasing the sample size will generally lead to a wider confidence interval.

T

True

F

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.