Let mew1 and mew2 denote true average densities for two different types of brick. assuming normality

Let mew1 and mew2 denote true average densities for two different types of brick. assuming normality of the two density distributions, test Ho: mew1-mew2=0 vs Hamew1-mew2 does not=0 using the following data: m=6, xbar=22.73, s1= .164, n=5, ybar=21.95 and s2= .240.

there is a solution for this problem on cramster, it is #18 from section 9.2 in the book “Probability and Statistics for Engineering and the Sciences 8th Edition” byJay L. Devore. However in cramster's solution, they test the hypothesis using aplha=.05 an since the problem doesnt mention that at all or any value for alpha, I waswondering where they got that from. I was thinking you should test it using a P-value but I also don't know how to do that. Thanks for the help.

 

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