ConceptConceptDocsDocuments

AP Statistics 4.8 Using Intervals to Compare Two Means

Practise interpreting confidence intervals for differences between population means and using their position relative to zero to justify contextual claims.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Translate the interval into a statement about mu1 minus mu2, preserving group order, units, and confidence level.
  • Decide whether zero is plausible; when excluded, use the interval sign to identify the higher population mean.
  • Reject conclusions about individual outcomes, future samples, or assigning probability to the parameter.

4.8 Justifying a Claim Based on a Confidence Interval for the Difference Between Two Population Means question 1

[Maximum number: 3]

Cumulative exposure to nitrogen dioxide ( NO2\mathrm{NO}_{2} ) is a major risk factor for lung disease in tunnel construction workers. In one study, researchers compared cumulative exposure to NO2\mathrm{NO}_{2} (in parts per million per year, ppm/yr) for a random sample of drill and blast workers and for an independent random sample of concrete workers. Summary statistics are shown in the following table:
\begin{tabular}[t]{|l|l|l|l|}
\hline Tunnel Worker
Activity & Sample Size & Mean
Cumulative NO2
Exposure
(ppm/yr) & Standard
Deviation in
Cumulative NO2\mathbf{N O}_{\mathbf{2}}
Exposure
(ppm/yr) \\
\hline Drill and
blast & 115 & 4.1 & 1.8 \\
\hline Concrete & 69 & 4.8 & 2.4 \\
\hline
\end{tabular}

Figure for Question 4.8 Justifying a Claim Based on a Confidence Interval for the Difference Between Two Population Means question 1 — AP Statistics

Question (a)

(a)

Assume conditions hold and use 95 percent confidence.

[ 3 ]

Question (i)

(i)

Interpret the interval in context.

[ 1 ]

Question (ii)

(ii)

Determine whether there is evidence of a difference and justify.

[ 2 ]
All question bank results loaded