Question

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The Decadent Desserts cookbook has recipes for desserts. The number of calories per serving for the...

The Decadent Desserts cookbook has recipes for desserts. The number of calories per serving for the recipes in the cookbook is normally distributed with a mean of 378 and a standard deviation of 34.5. If 18 recipes are randomly selected to serve at a reception, what is the probability that the average calories per serving for the sample is over 385?

Expert Solution

Solution :

Given that ,

mean = = 378

standard deviation = = 34.5

n = 18

= 378 and

= / n = 34.5 / 18 = 8.1317

P( > 385) = 1 - P( < 385)

= 1 - P(( - ) / < (385 - 378) / 8.1317)

= 1 - P(z < 0.86)

= 1 - 0.8051

= 0.1949

P( > 385) = 0.1949

Probability = 0.1949

milcah answered 9 hours ago

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