Use the empirical rule to solve the problem.
-The annual precipitation for one city is normally distributed with a mean of 340 inches and a standard deviation of 3.8 inches. Fill in the blanks.
In 95.44% of the years, the precipitation in this city is between ___ and ___ inches.
A)332.4, 347.6
B)328.6, 351.4
C)328.6, 340
D)340, 347.6

Question

Use the empirical rule to solve the problem.
-The annual precipitation for one city is normally distributed with a mean of 340 inches and a standard deviation of 3.8 inches. Fill in the blanks.
In 95.44% of the years, the precipitation in this city is between ___ and ___ inches. 
A)332.4, 347.6
B)328.6, 351.4
C)328.6, 340
D)340, 347.6

Quizplus · Accepted Answer

The empirical rule states that for a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. Therefore, the range is calculated as mean ± 2*standard deviation = 340 ± 2*3.8 = 340 ± 7.6, which gives us 332.4 to 347.6 inches.

Use the Empirical Rule to Solve the Problem