Question

question 24 of 25
the amount of water dispensed by a water dispenser is normally distributed, with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. in which range will the amount of water dispensed be found 99.7% of the time?
a. 11.30 ounces to 11.90 ounces
b. 11.15 ounces to 12.05 ounces
c. 11.45 ounces to 11.75 ounces
d. 11.00 ounces to 12.20 ounces

Explanation:

Step1: Recall Empirical Rule for normal distribution

99.7% data lies within 3 standard deviations of mean.

Step2: Calculate lower bound

Lower bound = mean - 3×standard deviation
$11.60 - 3×0.15 = 11.60 - 0.45 = 11.15$

Step3: Calculate upper bound

Upper bound = mean + 3×standard deviation
$11.60 + 3×0.15 = 11.60 + 0.45 = 12.05$

Answer:

B. 11.15 ounces to 12.05 ounces