Answer:
(b) 15.50 to 16.50 ounces
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 16
Standard deviation = 0.25
Based on this information, between what two values could we expect 95% of all cans to weigh?
By the Empirical Rule, within 2 standard deviations of the mean. So
16 - 2*0.25 = 15.50 ounces
16 + 2*0.25 = 16.50 ounces
So the corret answer is:
(b) 15.50 to 16.50 ounces
