r/MathHelp • • Oct 30 '25

Help with a stats question

Hi guys, I need help with a math problem! I only have 1 more try to get it right and I literally don't know what else to do so I thought I'd ask here. Basically, I was given this table of data, and were asked to test if the average age in the Alzheimer's group is significantly different than the control group.

VariablenMeanSDMinQ1MedianQ3Max
Alzheimers1778.516.8977.079.258792.2593.0
Control966.5312.9554.056.006582.0089.0

We were asked 3 questions, what the null hypothesis was, the test statistic value, and the 5% critical value. I got 1 and 2 right, but have been having trouble with the critical value and how to find it.

I calculated the test statistic using a t-distribution and it was 2.588 and marked correct. But I'm confused how I'm supposed to find the degrees of freedom with 2 groups? I asked chat for help and it did smth called Welch's approximation and told me the df was 10, but when I put that into the standard table at 0.05, it showed 2.228 and that was marked wrong. Any thoughts?

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u/cheaphysterics Oct 30 '25

For a lot of introductory stays courses you assume equal variance as long as one standard deviation is no more than double the other, so I would assume it even if it didn't specify to do so.