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Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is = 17.6. The P-value is closest to:

0.0668.
0.0082.
0.0164.
0.1336.

Respuesta :

MissPhiladelphia
For the answer to the question above, 
P-value is determined by finding the z-value for the sample: 

z = (17 - 20) / [6 / sqrt(9)] = -1.5 

Look up in a Normal table P(z < - 1.5) = 0.0668. But, multiply this times 2 since this is a two-tailed test (μ≠ 20): 

P-value = 0.0668(2) = 0.1336 

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