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AP Statistics 4.4 B Identify the Null and Alternative Hypotheses for a Population Mean or Population Mean Difference with Unknown Questions

State null and alternative hypotheses for a one-sample mean or mean difference, matching the equality and direction to the claim.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • write equality to the benchmark in H0 and match a one- or two-sided Ha to the claim about population mean
  • for paired data, define the subtraction order and test the population mean difference against zero

AP Statistics 4.4 B Identify the Null and Alternative Hypotheses for a Population Mean or Population Mean Difference with Unknown Questions question 1

According to a 2017 national survey in Country B, the mean number of bedrooms in newly built houses was 2.9. Rodney, a researcher, believes the mean number of bedrooms in newly built houses in the country was different in 2024 than it was in 2017. To investigate his belief, he took a large random sample of newly built houses in Country B in 2024 and recorded the number of bedrooms in each house. The distribution of the number of bedrooms for the sampled houses is summarized in the table.

Distribution of the Number of Bedrooms for the Houses Sampled in 2024

Table for Question AP Statistics 4.4 B Identify the Null and Alternative Hypotheses for a Population Mean or Population Mean Difference with Unknown Questions question 1 — AP Statistics

Rodney will use a one-sample t-test for a population mean to test his belief.

In the context of Rodney's investigation, state the hypotheses for the test.

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