Mathematics
kielee
27

The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (source: american dietetic association). if a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be less than 200 pounds.

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head1

Given: Mean, μ = 196 Std. dev., σ = 22 A sample size of 50 (> 30) is large enough to provide meaningful data. The random variable is x = 200. The z-score is z = (x - μ)/σ = (200 - 196)/22 = 0.1818 From normal distribution tables, obtain Prob(X < 200) = 0.572 = 57.2% Answer: 57.2%

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