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AP Statistics 4.9 B Identify the Null and Alternative Hypotheses for the Difference Between Two Population Means Questions

Practise writing null and alternative hypotheses for differences between two population means, with group order and direction matched to the claim.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Set the null as mu1 minus mu2 equals zero, or equivalently as equal population means.
  • Match less-than, greater-than, or not-equal alternatives to the directional or two-sided research claim.

AP Statistics 4.9 B Identify the Null and Alternative Hypotheses for the Difference Between Two Population Means Questions question 1

[Maximum number: 1]

A physician believes that the exercise habits of East Coast adults are different from the exercise habits of West Coast adults. To study this, she gathers information on the number of hours of exercise per week from a random sample of East Coast adults and a random sample of West Coast adults. Which of the following might be an appropriate null hypothesis for this study?

A

The average number of hours of exercise per week for East Coast adults is different from the average number of hours of exercise per week for West Coast adults.

B

The average number of hours of exercise per week for East Coast adults is the same as the average number of hours of exercise per week for West Coast adults.

C

The average number of hours of exercise per week for East Coast adults is greater than the average number of hours of exercise per week for West Coast adults.

D

The average number of hours of exercise per week for East Coast adults is less than the average number of hours of exercise per week for West Coast adults.

E

The probability is 0.5 that an East Coast adult and a West Coast adult exercise an equal number of hours per week.

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