In 2007, the mean price per pound of lobster in New England was $11.48 and the standard deviation was $2.12. A histogram of the data shows that the distribution is symmetrical. A local New England grocer is selling lobster for $8.99 per pound. What is this price in standard units? Assuming the Empirical Rule applies, would this price be considered unusual or not? Round to the
Nearest hundredth.
A) $ z=1.17 ; $ This is unusually expensive lobster.
B) $ z=1.17 $; This price would not be unusual.
C) $ z=-1.17 $; This is unusually inexpensive lobster.
D) $ z=-1.17 $; This price would not be unusual.

Question

In 2007, the mean price per pound of lobster in New England was $11.48 and the standard deviation was $2.12. A histogram of the data shows that the distribution is symmetrical. A local New England grocer is selling lobster for $8.99 per pound. What is this price in standard units? Assuming the Empirical Rule applies, would this price be considered unusual or not? Round to the
Nearest hundredth. 
A) $ z=1.17 ; $ This is unusually expensive lobster.
B) $ z=1.17 $; This price would not be unusual.
C) $ z=-1.17 $; This is unusually inexpensive lobster.
D) $ z=-1.17 $; This price would not be unusual.

Quizplus · Accepted Answer

The z-score is calculated as $ z = \frac{8.99 - 11.48}{2.12} = -1.17 $. According to the Empirical Rule, a z-score within -2 and 2 is not considered unusual.

In 2007, the Mean Price Per Pound of Lobster in New