Question

The mean number of calories eaten per meal for respondents is 580 with a standard deviation of 140. You have these given values:

Number of Calories per meal; Proportion of area between mean; and Z score Proportion of area beyond Z score

400; .21; .29

650; .09; .41

-Calculate the proportion of people who ate between 400 and 650 calories.

-What is the proportion of people who ate more than 650 calories?

Answer 1

-Calculate the proportion of people who ate between 400 and 650 calories.

z = (x - µ)/σ = (400 - 580)/140 = -1.29

The p-value is 0.0993.

z = (x - µ)/σ = (650 - 580)/140 = 0.5

The p-value is 0.6915.

Required proportion of people who ate between 400 and 650 calories = 0.5922

-What is the proportion of people who ate more than 650 calories?

z = (x - µ)/σ = (650 - 580)/140 = 0.5

The p-value is 0.3085.

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