Part B Find the probability that 12 randomly selected people will have a mean th

Question

Part B

Find the probability that 12 randomly selected people will have a mean that is greater than 153 pounds.

(Round to four decimal places as needed.)

Save Homework: Section 6-5 HW 5 of 10 (7 complete E Question Help The capacity of an elevator is 12 people or 836 pounds. The capacity will be exceeded ir12 people have weights with a mean greater than 183 53 pounds. Suppose the people have weights that are normally distributed with a mean o 163 lb and a standard deviati of 32 lb. a. Find the probability that if a person is randomly selected, his weight will be greater than 153 pounds. The probability is approximately Round to four decimal places as needed. Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answer 5:44 PM a One Drive Desktop A F Search the web and Windows

Explanation / Answer

Solution: -
PART A : z(153) = (153-163)/32 = -10/32 = -0.3125

P(x > 153) = P(z> -0.3125) = 0.6217

PART B : t(153) = (153-163)/[32/sqrt(12)] = -10/9.2376 = - 1.0825

P(x-bar > 153) = P(-1.0825 < t < 100 when df = 11) = 0.1511

C : option C. No, there is a good chance that 12 randomly selected people will exceed the elevator capacity.

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