Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,700 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
A.) 1,400-2,000
B.) 0-3,500
C.) 1,600-1,800
D.) 1,500-1,900

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Your answer is:

A) 1,400 - 2,000

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Option A is right.

Given that:

Mean = 1700

Standard deviation = 100

So, the range for 3 standard deviations to the right and to the left of the mean is:

[tex]\left(1700-3\left(100\right)\ ,\ 1700\ +\ 3\left(100\right)\right)\\=\left(1700-300,\ 1700\ +\ 300\right)\\=\left(1400,\ 2000\right)[/tex]

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