Question 1103112: (a)Calculate the p-value of the test described here. H0: mu = 60 H1: mu > 60 x = 72, n = 25, σ = 20
b. Repeat part (a) with x = 68.
c. Repeat part (a) with x = 64.
d. Describe the effect on the test statistic and the
p-value of the test when the value of x decreases.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The test statistic is z=(x-mean)/sigma/sqrt(n)
One sided test.
a is (72-60)/20/sqrt(25), which is 12*5/20=+3, p-value 0.0013
b is (68-60)/4, which is 2, p-value is 0.0027
c is 4/4 which is 1, and p-value is 0.1587.
As the difference between the test value and the mean decreases, the p-value increases, meaning the likelihood of such occurring as a chance value or as if the sampled population is more likely to have occurred from the postulated population.
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