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AP Statistics 4.3 C Identify the Relationships Among Sample Size Confidence Interval Width Confidence Level and Margin of Error Questions

Practise predicting how confidence level, sample size, and variability change interval width and margin of error for population means.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • hold the sample fixed and recognise that a higher confidence level produces a wider interval
  • compare margins of error using sample size and standard deviation, not sample mean or population size

AP Statistics 4.3 C Identify the Relationships Among Sample Size Confidence Interval Width Confidence Level and Margin of Error Questions question 1

[Maximum number: 1]

Two meteorologists use the same sample data to calculate the average temperature across the United States. The first meteorologist constructs a 90\% confidence interval, while the second constructs a 95\% confidence interval. Which of the following statements is true?

A

The midpoint of the first meteorologist's interval will be less than the midpoint of the second meteorologist's interval.

B

The midpoint of the first meteorologist's interval will be greater than the midpoint of the second meteorologist's interval.

C

The width of the first meteorologist's interval will be less than the width of the second meteorologist's interval.

D

The width of the first meteorologist's interval will be greater than the width of the second meteorologist's interval.

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