Several years ago, the mean height of women 20 years of age or older was 63.7 in

Question

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 63.9 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 0.14. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an alpha = 0.05 level of significance (a) State the appropriate null and alternative hypotheses to assess whether women are taller today A. H_0: mu = 63.7 in. versus H_1: mu > 63.7 in. B. H_0: mu = 63.9 in versus H_1 63.9 in. F. H_0: mu - 63.7 in. versus H_1: mu

Explanation / Answer

1a) we want to assess if women are taller today

hence it is 1 -directional

hence option A) is correct

b) p-value = 0.14

P value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the truth of the null hypothesis.

c) since p-value is more than 0.05

we fail to reject the null hypothesis

and conclude that there is no significant evidence that the woman are taller now

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