Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,800 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? 0–3,600
1,700–1,900
1,600–2,000
1,500–2,100
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The answer is 1,500–2,100
How to find this:
The mean is 1800 The standard deviation is 100
(Subtract 100 from the mean 3 times) 1800 - 100 = 1700 1700 - 100 = 1600 1600 - 100 = 1500
(Add 100 to the mean 3 times) 1800 + 100 = 1900 1900 + 100 = 2000 2000 + 100 = 2100
(The answers are your range) 1500 - 2100
_______________ I just took the test, hope this helps!