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Assume that​ women's heights have a mean of 63 inches ​(5 feet 3​inches) and a standard deviation of 3 inches. a. What​ women's height corresponds to a​ z-score of 1.20​? b. What​ women's height corresponds to a​ z-score of negative −1.00​?

kadejoset 2022-07-22 Answered
Assume that​ women's heights have a mean of 63 inches ​(5 feet 3​inches) and a standard deviation of 3 inches. a. What​ women's height corresponds to a​ z-score of 1.20​? b. What​ women's height corresponds to a​ z-score of negative −1.00​?
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Answers (2)

bardalhg
Answered 2022-07-23 Author has 15 answers
a)Mean=63 inches
Standard deviation =3 inches
z-score=1.2
∴ z=(x-mean)/sd
= ( x − 63 ) / 3
1.2 = x − 63 3
⇒ ( 1.2 ∗ 3 ) = x − 63
⇒ 3.6 = x − 63
⇒ x = 66.6
Women`s corresponding to a z-score of 1.2 is 66.6 inches
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smuklica8i
Answered 2022-07-24 Author has 3 answers
b) Mean=63 inches
Standard devition =3 inches
z-score=-1.00
therefore
z=(x-mean)/sd
-1.00=(x-63)/3
-3.00=x-63
x=-3+63=60
Women`s height corresponds to a z-score of negative -1.00 is 60 inches
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