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 64.3 inches.

State the appropriate null and alternative hypotheses to assess whether women are taller today. (Select one option from below)

(a) H0:=64.3 in. versus H1:< 64.3 in.   

(b) H0:=63.7 in. versus H1:> 63.7 in.

(c) H0:=64.3 in. versus H1:64.3 in.

(d) H0:=63.7 in. versus H1:63.7 in.

(e) H0:=63.7 in. versus H1:< 63.7 in.

(f) H0:=64.3 in. versus H1:> 64.3 in.

Explanation / Answer

We are testing if the mean height is GREATER than 63.7 inches, which used to be the mean several years ago.

So it is a right tailed test, and hence, H1 should involve the > sign.

Answer:

(b) H0:=63.7 in. versus H1:> 63.7 in.

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