Several years ago, the mean height of women 20 years of age or older was
63.7
inches. Suppose that a random sample of
45
women who are 20 years of age or older today results in a mean height of
64.6
inches.
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
(b) Suppose the P-value for this test is
0.18.
Explain what this value represents.
(c) Write a conclusion for this hypothesis test assuming an
alphaαequals=0.05
level of significance.
H0: mu = 63.7
Ha: mu > 63.7
p-value = 0.18
p-value represents the probability of occurrance of the height of
the women in a sample of 20 as extreme as 64.6 in
P(X > 64.6) = 0.18
c)
As p-value > 0.05, fail to reject H0
There is no sufficient evidence to conclude that the mean height of
women is higher.
Several years ago, the mean height of women 20 years of age or older was 63.7...
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