Assume that the weight loss for the first month of a diet program varies between 6 and 12 lbs, and is spread evenly
over the range of possibilities so that there is a uniform distribution. Find the probability of the given range of
pounds lost: Between 9.5 and 11 A: ¼
In one region, the September energy consumption levels for singlefamily homes are found to be normally
distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P
, or the consumption level
₄₅
separating the bottom 45% from the top 55%. A: 1021.7 =NORMINV(.45, 1050, 218)
The weights of certain machine components are normally distributed with a meant of 8.05g and a standard deviation
of 0.09g. Find the 2 weights that separate the top 3% and the bottom 3%. A: 7.88 and 8.22 same process as last
problem
Assume that a procedure yields a binomial distribution with a trial repeated n times. Find the probability of x. Given
n=5, x=2, p=.70
A: .132 =BINOMDIST(2, 5, .70, 0)
mean, proportion, and variance are
unbiased estimators
List possible samples and find means.
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 Fall '08
 Sapko
 Statistics, Normal Distribution, Probability, Standard Deviation, Null hypothesis, energy consumption, standard normal distribution

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