IMPORTANT STATISTICS QUESTIONS PLEASE HELP YOUR HELP WOULD BE GREATLY APPRECIATED
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IMPORTANT STATISTICS QUESTIONS PLEASE HELP YOUR HELP WOULD BE GREATLY APPRECIATED

[From: ] [author: ] [Date: 11-12-07] [Hit: ]
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Suppose that the weight of a gerbil is normally distributed with a mean of 12 ounces and a standard deviation of 3 ounces. What is the probability that a random sample of 10 gerbils has a sample mean of more than 14 ounces?

-
µ = 12
σ = 3
x = 14
n = 10

z = (x - µ) /̘s
where s = σ/√n


z = (14 - 12) / (3/√10) = 2.1082

P(x < 14) = P( z =2.1082 ) = 0.982493

P( x > 14) 1 - P(x <14) = 0.0175
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