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.?

The z-score for 7.90 oz. is - 3.57

Step-by-step 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 dа ta:

Z = (7.9 - 8.15) / 0.07

Z = - 3.57