A half-century ago, the mean height of women in a particular country in their 20

Question

A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 1.62 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 20 of today's women in their 20s have mean heights of at least 64.51 inches? About | % of all samples have mean heights of at least 64.51 inches (Round to one decimal place as needed.)

Explanation / Answer

mean = 63.7 , s = 1.62 , n =20
p(x > 64.51)
z = ( x - mean)/ ( s/sqrt(n))
= ( 64.51 - 63.7)/(1.62/sqrt(20))
= 2.2361
p(x >64.51) = P(z >2.2361) = 0.0127 by using standard normal table

About 1.27% of all samples have mean heights of at least 64.51 inches

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.