SOLUTION: A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are you more likely to randomly select one bottle with

Question 869833: A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are you more likely to randomly select one bottle with more than 20.3 ounces, or are you more likely to select a sample of eight bottles with a mean amount of more than 20.3 ounces? Explain.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
20 ounces and a standard deviation of 0.2 ounce
P(x > 20.3
z = .3/.2 = 1.5, P(z >1.5) = 6.68%
Sample of 8 (x-bar = 20.3)

z = .3/(.2/sqrt(8) = .3/.0707 = 4.24, P(z > 4.24) = basically near zero

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