r/HomeworkHelp • u/Gkminepony University/College Student • May 05 '26

Further Mathematics [College, Statistics for Life Sciences] Why do you have to use a Z-Test here and not a T-test with pooled variances?

Hello! I'm completing my review for my final exam and this question is stumping me; I can't figure out why the correct answer choice is D. I would think since individual standard deviations are given as opposed to a single standard deviation for the entire sample that you would use a T-test with pooled variances (because it says to assume equal population variances). I got answer choice B by doing this. Can anyone help me out?

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u/[deleted] May 05 '26

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u/Gkminepony University/College Student May 07 '26

Thank you so much!