SOLUTION: MEN WEIGHT ON AVERAGE IS 165lbs WITH A S.D OF 35lbs... A)WHAT IS THE PROBABILITY THAT CARL WEIGHS MORE THAN 190lbs B)WHAT IS THE PROBABILITY THE MEAN WEIGHT OF A GROUP OF 40 ME

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Question 172516This question is from textbook ELEMENTARY STATISTICS
: MEN WEIGHT ON AVERAGE IS 165lbs WITH A S.D OF 35lbs...
A)WHAT IS THE PROBABILITY THAT CARL WEIGHS MORE THAN 190lbs
B)WHAT IS THE PROBABILITY THE MEAN WEIGHT OF A GROUP OF 40 MEN IS MORE THAN 190lbs This question is from textbook ELEMENTARY STATISTICS

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
MEN WEIGHT ON AVERAGE IS 165lbs WITH A S.D OF 35lbs...
A)WHAT IS THE PROBABILITY THAT CARL WEIGHS MORE THAN 190lbs
1st find the z-value of 190
2nd then P(wt>190) = P(z>that z-value) = 0.2375
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B)WHAT IS THE PROBABILITY THE MEAN WEIGHT OF A GROUP OF 40 MEN IS MORE THAN 190lbs
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1st Since you now have a sample of size 40, S.D = 35/sqrt(40) = 5.5340
2nd Find the new z-value of 190
z(190) = (190-165)/(5.5340) = 4.5175
3rd then P(wt>190) = P(z>4.5175) = 0.000003131
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Cheers,
Stan H.