Suppose the height of female students at a large university is normally distribu

Question

Suppose the height of female students at a large university is normally distributed with a mean of 64 inches and a standard deviation of 2.8 inches. If 10 samples consisting of 50 students each are obtained, what is the probability that the mean of any one of these 10 samples is greater than 65 inches? Suppose the height of female students at a large university is normally distributed with a mean of 64 inches and a standard deviation of 2.8 inches. If 10 samples consisting of 50 students each are obtained, what is the probability that the mean of any one of these 10 samples is greater than 65 inches?

Explanation / Answer

mean = 64
std. dev. = 2.8
n = 50

P(X > 65)
= P(z > (65 - 64)/(2.8/sqrt(50)))
= P(z > 2.5254)
= 0.00578

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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