SOLUTION: Assume the mean annual consumption of peanuts is normally distributed, with a mean of 5.8 pounds per person and a standard deviation of 1.6 pounds per person. What percent of peopl

Algebra ->  Probability-and-statistics -> SOLUTION: Assume the mean annual consumption of peanuts is normally distributed, with a mean of 5.8 pounds per person and a standard deviation of 1.6 pounds per person. What percent of peopl      Log On


   



Question 1178449: Assume the mean annual consumption of peanuts is normally distributed, with a mean of 5.8 pounds per person and a standard deviation of 1.6 pounds per person. What percent of people annually consume less than 2.9 pounds of peanuts per person? Would it be unusual for a person to consume less than 2.9 pounds of peanuts in a year?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi
 normally distributed, μ = 5.8 pounds per person and σ = 1.6 pounds per person
P(x = 2.9) 
z = (2.9-5.8)/1.6 = -1.8125
P(z ≤  -1.8125) = .035  0r 3.5%
Yes, unusual for a person to consume less than 2.9 pounds of peanuts in a year
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