Question

question 2 of 25
the amount of water dispensed by a water dispenser is normally distributed, with a mean of 12.10 ounces and a standard deviation of 0.25 ounces. in which range will the amount of water dispensed be found 99.7% of the time?
a. 11.85 ounces to 12.35 ounces
b. 11.60 ounces to 12.60 ounces
c. 11.35 ounces to 12.85 ounces
d. 11.10 ounces to 13.10 ounces

Explanation:

Step1: Recall empirical rule for normal distribution

99.7% of data lies within 3 standard deviations of the mean.

Step2: Calculate lower bound

Subtract 3σ from mean: $12.10 - 3×0.25 = 12.10 - 0.75 = 11.35$

Step3: Calculate upper bound

Add 3σ to mean: $12.10 + 3×0.25 = 12.10 + 0.75 = 12.85$

Answer:

C. 11.35 ounces to 12.85 ounces