Question

Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,600 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?
O 1,400-1,800
O 1,500-1,700
O 1,300-1,900
O 0-3,200



20 POINTS

plz help

Thank you

Answer 1

The correct answer is 1,300 - 1,900.

Answer 2

The solution is 1,300-1,900

Explanation:

Simply put:

The standard deviation is 100. Because the range is 3 standard deviations, you add and subtract 300 from 1,600 instead of the normal 100.

So,

1,600 - 300 = 1,300

1,600 + 300 = 1,900

So, your answer is the third option: Between 1,300 and 1,900