CASE LOC33301 00 HAND FLA WPB HAND FLA WES Quiz: Quiz #21: Sections 6.3 & 6.5 [U

Question

CASE LOC33301 00 HAND FLA WPB HAND FLA WES Quiz: Quiz #21: Sections 6.3 & 6.5 [Unit 3] 4/21/17 recommended 'deadline' Time Remaining: 004037 Sub 4 of 1100 complete This Quiz: 11 pts cuacity or 12m2 pounds The capacity wa be exceeded people have weghts whameangreaterthan 127 raa 15 pounds suppose the people weghts that are normalydrmbutd whameanof105 banda standard deviation of 30 b a Find the probabaty natita person standomly selected tis weight wil be greater han 150 pounds The probabilty is approximately Round totour doormal places as needed.) b Find the probabity 8 sandomly selected people have a mean that geater than 150 pounds The probabany is approximately Round to four decimalplaces as needed) c. Does the elevator appear to have the conect weight why or why not? O A No, there is a good that Brandomly selected people willexceed elevator capacity OB. No, a randomly people wanever be under the weght O c. Yes, s andomay people wil always be underte weigt O D, Yes, there is a good chance that randomly selected people wil not ocoed the krwatoroweory cack to select your anseveri) ONE g54-65g-5170

Explanation / Answer

Part-a

P(X>150)= 0.6804 using excel function =1-NORMDIST(150,165,32,TRUE)

Part-b

Xbar follows normal with mean=165 and standard deviation =32/sqrt(8)

So, P(xbar>150)= 0.9076, using excel function =1-NORMDIST(150,165,32/sqrt(8),TRUE)

Part-c Option-A

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