document.write( "Question 1176271: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 190 lb and a standard deviation of 45 lb. The gondola has a stated capacity of
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\n" ); document.write( "\n" ); document.write( "If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds
\n" ); document.write( "175 lb, which is the maximum mean weight that does not cause the total load to exceed
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Algebra.Com's Answer #802800 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi\r\n" );
document.write( "Normal Distribution:  μ = 190lbs    σ = 45\r\n" );
document.write( " 25 passengers, gondola ...rated for a load limit of 3500 lb.  x̄ = 140lb\r\n" );
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document.write( "If:  n = 20 passengers then x̄ = 175  \r\n" );
document.write( " P(x̄ > 175) = 1 - P( x̄ ≤ 175)\r\n" );
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document.write( " t = (175 - 190)/(45/√20) = √20(-15)/45 = -1.4907\r\n" );
document.write( " P(x̄ > 175) = 1 - P( x̄ ≤ 175) = 1 - P( t ≤ -1.4907, df19) =  1 - .0762 = .9238\r\n" );
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document.write( "Wish You the Best in your Studies.\r\n" );
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