Practice Confidence Intervals - 4.5 | 4. Statistical Inference and Hypothesis Testing | Data Science Advance
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4.5 - Confidence Intervals

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a confidence interval?

💡 Hint: Think about what it means to estimate a parameter.

Question 2

Easy

What is the purpose of the population standard deviation in the confidence interval formula?

💡 Hint: Consider how variability impacts your estimates.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a 95% confidence interval imply?

  • It contains the true population parameter in 95% of cases
  • It guarantees the true parameter is within the range
  • It implies absolute certainty in estimates

💡 Hint: Think about how confidence intervals reflect sampling behavior.

Question 2

True or False: A wider confidence interval indicates greater precision in estimating the population parameter.

  • True
  • False

💡 Hint: Consider the relationship between width and certainty.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A researcher claims the average height of a species of tree is 15 feet. They collect a sample of 50 trees, which has a mean height of 14.5 feet and a standard deviation of 2 feet. Calculate the 95% confidence interval and discuss its implications.

💡 Hint: Use the provided formula and keep the critical z-value in mind for your calculations.

Question 2

If a sample of 30 students has a mean score of 85 on a final exam with a standard deviation of 5, construct a 99% confidence interval. What does this say about the strength of your estimate?

💡 Hint: Remember to find the appropriate z-value for the 99% confidence level.

Challenge and get performance evaluation