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AP Statistics 4.2.E t-Interval Standard Error & Margin

Practise using a confidence level and an estimated population standard deviation to calculate margin of error and choose the smallest viable sample size.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Solve the margin-of-error inequality to select the smallest whole-number sample size.

4.2.E—Calculate the standard error and margin of error for a sample size for a one-sample t-interval question 1

[Maximum number: 1]

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?

A

400

B

900

C

1,300

D

1,600

E

2,100

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