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# Early Solutions for the 2023 AP Statistics Exam

We hope your students were good at writing conclusions to a significance test, as this idea showed up in several different ways on the 2023 AP Statistics Exam. As usual, our AP Exam predictions for 2023 had some winners (SOCV, DUFS, purpose of random assignment, interpret slope) and some big losers (wrong significance test!).

So here goes with our first attempt at solutions (please be gentle if we have any errors!)

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Unknown member
May 11, 2023

I agree with the solution to 6(d)(ii), but multiplying the probabilities assumes the independence of the sample mean and sample range. This is true for iid samples from a normal distribution, but not obvious/I donâ€™t think it can proven using only the tools taught in AP Statisitics.

It doesnâ€™t seem fair to expect students to make this assumption.

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Matt Dodd
May 08, 2023

I'm wondering about scope of inference on question #4. Since the participants of this study were volunteers, can we generalize our findings to all people with that medical condition? Or can we only imply the causal relationship to the people in the study?

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Luke Wilcox
May 08, 2023

You are correct. We definitely can't generalize to all people with this medical condition. We add the information that our conclusion is for all people with this medial condition similar to the volunteers in the study. This language has appeared in rubrics on previous AP Exams.

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Mike McCall
May 07, 2023

Sure seems like the College Board wanted AP Stats students to understand two-way significance tests â€” a central feature in two separate problem parts. Also thought the wording and direction in FRQ 5 where a positive difference (Placebo â€” Omega 3) > 0 indicates a decrease in irritability might present some challenges for students in defining H_a and calculating a P-value. Ouch ;-)

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Unknown member
May 07, 2023

As always, thanks for all the 2 of you do.

In 6(b)(ii), since the question says different than 300 mg, I think the p-value needs to be doubled to .396.

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Mike McCall
May 07, 2023

Thanks Luke and Lindsey. You both ROCK â€” simply couldnâ€™t get my kids over the finish line without your hard work.

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