2000, Question 6 · 4 points · about 25 minutes

Heights of husbands and wives

Build and interpret an interval estimate of the share of couples where the wife is taller, find that chance for randomly paired adults, use both to judge independence, and sketch the shape of a scatterplot with a given correlation.

This exam had six free-response questions, each scored from 0 to 4. Its Question 6, the Investigative Task, is no longer part of the exam. The current exam has 4 free-response questions in 90 minutes. The skills these questions practice still count.

Not in the current course. Part (b) needs the distribution of a difference of two independent normal random variables, and combining random variables is no longer in the current course.

1 Read the question

The question is College Board's, from the 2000 exam. It starts on page 14 of the PDF. College Board no longer posts this exam, so it opens from the copy of College Board's PDF that the Internet Archive saved on November 28, 2025.

Open Question 6 (PDF, page 14)

2 Write your answer

Answer each part the way you would on the exam, in full sentences, with your work shown. Your writing saves as you type.

3 Score it

Score your answer against College Board's scoring guidelines, one point at a time. Give yourself a point only when your answer says what the guideline asks for.

Scoring guidelines (PDF, page 16)

Question, scoring guidelines and Chief Reader report: College Board, from the Internet Archive. The title, summary are ours.