Question

A candy company produces individually wrapped candies. The quality control manager for the company believes that the weight of the candies is approximately normally distributed with mean 720 milligrams (mg). If the manager’s belief is correct, which of the following intervals of weights will contain the largest proportion of the candies in the distribution of weights?A) 740 mg to 780 mg.B) 700 mg to 740 mg.C) 680 mg to 720 mg.D) 660 mg to 700 mg.E) 620 mg to 660 mg.

Answer 1

B) 700 mg to 740 mg.

Explanation:

Because the mean is the average of a data set, it means that there must be data above and below this value.

If the average is 720 mg, in the range there must be values that exceed this value and others that are below this.

We will analyze each of the options.

A) 740 mg to 780 mg.

There are values above 720, but not below 720.

B) 700 mg to 740 mg.

In this case, there are values below and above 720.

C) 680 mg to 720 mg.

There are only values below 720.

D) 660 mg to 700 mg.

There are only values below 720.

E) 620 mg to 660 mg.

There are only values below 720.

Therefore the answer is B) 700 mg to 740 mg. Since it fulfills the premise that guarantees the mean.