Practice Confidence Intervals (1.4.5) - Unit 11: Measurement and Data Processing
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Confidence Intervals

Practice - Confidence Intervals

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Practice Questions

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Question 1 Easy

What is a confidence interval?

💡 Hint: Think about the meaning of confidence in statistics.

Question 2 Easy

What do we use to determine the width of a confidence interval?

💡 Hint: Consider what 'error' signifies in sampling.

4 more questions available

Interactive Quizzes

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Question 1

What does a 95% confidence interval mean?

95% of sample means fall within the interval
95% of intervals contain the true mean
95% likelihood of the sample mean being accurate

💡 Hint: Think about what the interval is intended to reflect in repeated studies.

Question 2

For small samples, which distribution do we use to calculate confidence intervals?

True
False

💡 Hint: Consider how different sample sizes affect statistical calculations.

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Challenge Problems

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Challenge 1 Hard

A study on relaxation techniques finds different sample means for various techniques. Calculate the 90% CI for a mean relax time of 15 minutes with a standard deviation of 4 minutes from 25 participants.

💡 Hint: Use the t-value for 90% confidence, adjusting according to the sample size.

Challenge 2 Hard

Two different classrooms' test scores were gathered: Class A mean is 80 with a standard deviation of 5; Class B mean is 85 with a standard deviation of 10. Compare the 95% confidence intervals for both classes to determine which class's performance is more reliable.

💡 Hint: Calculate the intervals for both classes based on their respective means & standard deviations.

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