Question 132633: Suppose that the weights of 10-week old kittens follow a normal distribution, with a mean value of 25 ounces and a standard deviation of 4 ounces. If a kitten’s weight is in the bottom 10% of the distribution of weights, then it is said to be undernourished. What is the cutoff weight for an undernourished kitten?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that the weights of 10-week old kittens follow a normal distribution, with a mean value of 25 ounces and a standard deviation of 4 ounces. If a kitten’s weight is in the bottom 10% of the distribution of weights, then it is said to be undernourished. What is the cutoff weight for an undernourished kitten?
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mean = 25 oz
sigma = 4 oz
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Find the z-value at 10% in your z-chart or using InVNorm(0.1)
InVNorm(0.1) = -1.28155...
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Find the corresponding raw score value:
z = (x - mu)/sigma
x = z*sigma + mu
x = -1.28155*4 + 25
x = 19.87379... (kittens weighing less than 19.8739 oz are undernourished)
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Cheers,
Stan H.
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