Question

The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of

8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?

Answer 1

The z-score for 7.90 oz. is -3.57

Explanation:

Data

• mean: 8.15 oz.

• standard deviation, sd: 0.07 oz.

• value of interest, x = 7.90 oz.

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57