The capacity of an elevator is 8 people or 1280 pounds. The capacity will be exc

Question

The capacity of an elevator is 8 people or 1280 pounds. The capacity will be exceeded r8people have weights with a mean greater than 1280/8 = 60 pounds. Suppose the people have weights that are normally a mean of 168 b and a standard deviation of a. Find the probability that if a person is randomly selected, his weight will be greater than 160pounds. The probability is approximately 0591. (Round to four decimal places as needed.) b. Find the probability that B randomly selected people will have a mean that is greater than 160 pounds. The probability is approximately. (Round to four decimal places as needed.)

Explanation / Answer

Result:

a).

z value for 160, z =(160-168)/35 = -0.23

P( x >160) = P( z > -0.23)

=0.5910

b).

standard error = sd/sqrt(n) = 35/sqrt(8) =12.3744

z value for 160, z =(160-168)/12.3744 = -0.65

P( mean x >160) = P( z > -0.65)

=0.7422

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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