To calculate the​ P-value, the alpha value, alphaα = 0.05​, and the degrees of freedom will be needed. The degrees of freedom are d.f.=n−1. Part 10 ​Therefore, the degrees of freedom for this​ t-test with sample size n=41​, are d.f.=40 . Part 11 Use technology to calculate the​ P-value ​(2•​P(t>2.65​)) for the two-tailed hypothesis​ test, using the​ student's t-distribution with d.f.=40 and alphaα =0.05​, rounding to three decimal places.

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