Question

A juice machine is set to dispense 16 ounces of juice. The amount of juice
dispensed is normally distributed, with a mean of 16.15 ounces and a
standard deviation of 0.25 ounces. In which range will the amount of juice
dispensed be found 99.7% of the time?​

Answer 1

Answer:

It is 15.90 ounces to 16.65

this is the correct one i just took the test, the other answer was wrong

Step-by-step explanation:

Answer 2

C. 15.40 ounces to 16.90 ounces.

What is the statement of empirical rule of normal distribution?

According to the empirical rule of normal distribution, 68% of the data falls within one S.D. , 95% of the data falls within two S.D.s and 99.7% of the data falls within three S.D.s from the mean.

What is the required range ?

Given, Standard deviation (S.D.) = 0.25

and the mean = 16.15

The amount of juice will dispensed be found 99.7% of the time.

So, 99.7% falls within 3 standard deviations from the mean.

∴ Upper range = Mean + (3×Standard deviation)

                         = 16.15+(3×0.25)

                         = 16.15+0.75

                         = 16.9

Again, Lower range = Mean - (3×Standard deviation)

                                 = 16.15 - (3×0.25)

                                 = 16.15 - 0.75

                                 = 15.4

Hence, The range is 15.4 to 16.9

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