A nutritionist conducted a study on the eating patterns of early adolescent boys and girls. Calorie intake is normally distributed for both boys and girls. The population means are 3300 calories per day for boys and 2900 calories per day for girls. The population standard deviations are 790 for boys and 720 for girls.The nutritionist believes that children may have an eating disorder if they are in the bottom 2% the distribution. Based on this, if a child’s intake is1600 calories per day, should the nutritionist be concerned that this child may have an eating disorder? (Compute for each gender separately). Does it make a difference if this child is a boy or a girl? Explain your answer. What proportion of girls consume between 2000 and 2400 calories per day? Is the proportion of boys who consume between 2000 and 2400 calories per day the same, higher, or lower than the proportion of girls who consume between 2000 and 2400 calories per day? Explain your answer.

Name: A nutritionist conducted a study on the eating patterns of early adole
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Description: A nutritionist conducted a study on the eating patterns of early adolescent boys and girls. Calorie intake is normally distributed for both boys and girls. The population means are 3300 calories per day for boys and 2900 calories per day for girls. T

GivenFor boysThe mean calories per day =3300standard deviation =790 For girlsThe mean calories per…

Answered: A nutritionist conducted a study on the…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A nutritionist conducted a study on the eating patterns of early adolescent boys and girls. Calorie intake is normally distributed for both boys and girls. The population means are 3300 calories per day for boys and 2900 calories per day for girls. The population standard deviations are 790 for boys and 720 for girls.

The nutritionist believes that children may have an eating disorder if they are in the bottom 2% the distribution. Based on this, if a child’s intake is1600 calories per day, should the nutritionist be concerned that this child may have an eating disorder? (Compute for each gender separately). Does it make a difference if this child is a boy or a girl? Explain your answer.
What proportion of girls consume between 2000 and 2400 calories per day?

Is the proportion of boys who consume between 2000 and 2400 calories per day the same, higher, or lower than the proportion of girls who consume between 2000 and 2400 calories per day? Explain your answer.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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