Answer:
C. 11.60 ounces to 12.60 ounces
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.10, standard deviation 0.25.
In which range will the amount of water dispensed be found 95% of the time?
By the Empirical Rule, within 2 standard deviations of the mean. So
12.10 - 2*0.25 = 12.10 - 0.5 = 11.60
12.10 + 2*0.25 = 12.10 + 0.5 = 12.6
So the correct answer is given by option C.
