2023 AP Statistics Free Response #6

Walkthrough of the 2023 AP Statistics FRQ #6

[AllenTsaoSTEMCoach]

Corrections:

For parts b) ii), you could have used 2x the probability since it is technically a two-tailed test. The conclusion would still be the same.

For parts d) ii), I made a separate video explaining how I'd adjust my answer a bit.

[randalattar]

i messed up so bad on this one😭😭i did well on the 5 other questions so i hope it’s good enough to get a good score

[Pufferfishh]

i did basically exactly what u said for a and b but c and d is where i fell apart 💀

[vedantvashi]

For D ii I multiplied the P(x > 308) * P(x<298) because both events are mutual exclusive and Independent to find a very low probability so the 303 mean and 10 range is very significant

[tjd]

On d ii, I split them into their individual observations, then found the probability of getting a single observation of 308 or higher was 0.055, then said I would reject at 0.1. Not sure if that’s anywhere close, but it’s my best guess.

[shakeyourtds]

Physics exams coming up next week! I am hype and ready to crush them!

[adityaarora]

I was worried for part d i I because I couldn’t do it computationally but used the graph but you did that too, so it should be fine right?

[adityaarora]

Wow given your answers it seems like I basically aced it

[the_plugfather]

for c ii I put that as the population standard deviation increases the distribution becomes more approximately normal. looking back now I may not have understood the question, but would that gotten me the point?

[tonyzhang]

for bii, it asks what would be the probability that it is different so you would multiply 0.198 by two

[jasminle]

Can u say for 6c ii that the shape of the distribution becomes more uniform

[CherryMiiverse]

Would it be correct to describe the distribution for c(i) as unimodal? Would I lose points for saying so?

[hisigma]

For b ii, I dont understand. Wouldn't you multiply 20% by 2 since we are looking for convincing proof that it is DIFFERENT than 300 (it is two sided)

[tyler-whyu]

it all makes sense until d ii. I don’t understand how you get a quantitative result unless you assume independence (which these events aren’t independent??). There’s got to be some specific method to determining the answer.

[nihalshetty]

For part d, I used a 95% interval with the empirical rule to come to a conclusion. Is that fine?

[BereZone]

For 6 d ii, do you have to multiply the chances of getting 298 and 308 together? that would get a probability low enough, because it has to have a spread of 10 right?

[atomic]

wait for the last question I originally said that it was within a standard deviation but then i erased it because it sounded too simple, instead I found out that the only way to get a sample mean of 303 and a range of 10 with 2 bracelets is for the bracelets to be 298 and 308 mg of gold, and the 308 mg of gold had a p value ever so slightly greater than 0.05. Does that still get the credit?

[aura]

i thought (c) (i) wanted us to compare the distribution to a standard normal distribution in which the distribution looks similar to the right half of a normal distribution

[mrkrabs]

If i put No and got the explanation wrong do I get any credit on these questions 😢😢

[Chris-rvvj]

lmao i forgot what a sampling distribution n=2 was important bit didn't know how....

fuck cleo