Ch 9, #10 (pg. 264) Stats Question: A random sample of n=4 individuals is selected from a population with mu = 35, and a treatment is administred to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with alpha = .05.  I understand how to determine that t = 2.55. What I don't understand is how the critical value of 3.182 was determined in the explanation posted on this site.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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Ch 9, #10 (pg. 264) Stats

Question: A random sample of n=4 individuals is selected from a population with mu = 35, and a treatment is administred to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with alpha = .05. 

I understand how to determine that t = 2.55. What I don't understand is how the critical value of 3.182 was determined in the explanation posted on this site. 

 

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