ap stats study guides

โœŒ๏ธย  Unit 2 - Exploring Two-Variable Data

โš–๏ธย  Unit 6 - Inference for Categorical Data: Proportions

๐Ÿ˜ผย  Unit 7 - Inference for Qualitative Data: Means

โœณ๏ธย  Unit 8 Inference for Categorical Data: Chi-Square

๐Ÿ“ˆย  Unit 9 - Inference for Quantitative Data: Slopes

๐Ÿงย  Multiple Choice Questions (MCQs)

5.6 Sampling Distributions for Differences in Sample Proportions

#exploringdata

#sampling

#experimentation

#anticipatingpatterns

#statisticalinference

โฑ๏ธย ย 1 min read

written by

brianna bukowski

Josh Argo

josh argo

Harrison Burnside

harrison burnside

(editor)


Differences Non-Distribution Recap

To find the sampling distribution for differences in a sample proportion or mean, remember that variances always add to find the new variance. If one needs the standard deviation, you should take the square root of the variance. However, for means you can just subtract.ย 

Proportion Differences

To find the standard deviation of differences in sample means, divide the variances by each sample size before square rooting to find the overall standard deviation. The simplified formula can be seen below. If you are only given the standard deviations for both samples, you must square both standard deviations, add them up and then take the square root. This can be referred to as the โ€œPythagorean Theorem of Statistics.โ€

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F22-FZm9oNUSINV6.JPG?alt=media&token=51dfeda2-67f4-446b-875d-57599007955c

Source: NEW AP Statistics Formula Sheet

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-YXYdqZFP6kmT.JPG?alt=media&token=2451ada9-44e0-4daf-9540-f22d2e579130

For any Proportion Inference, you must check Large Counts to confirm normality. You can only check Central Limit Theorem for Quantitative Data (Means).

Here is a review of types of distributions:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-pD1CvWalmslo.JPG?alt=media&token=f00ef251-12d0-4028-aa25-8cc994dfd8f1

Source: The AP Statistics CED

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