document.write( "Question 629237: In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?
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Algebra.Com's Answer #396125 by stanbon(75887) $\"\"$ $\"About$

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In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?
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\n" ); document.write( "z(31.5) = (31.5-32)/[4/sqrt(30)] = -0.6847
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\n" ); document.write( "P(x-bar < 31.5) = P(z < -0.6847) = normalcdf(-100,-0.6847) = 0.2468
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\n" ); document.write( "Note: If you use a t-distribution you will get a slightly different
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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