A: My friend is taller than the average woman.
This is a true statement because a z-score of -1.4 represents a height below the mean, so my friend would be taller than the average woman.
B: My friend is 1.4 inches shorter than the average woman.
This is not a true statement. A z-score of -1.4 does not directly correspond to a specific height difference in inches. It represents the number of standard deviations below or above the mean.
Therefore, the correct answer is:
A: My friend is taller than the average woman.
The heights of adult women have a Normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches. The z-score for my friend's height is -1.4. Which of the following is a true statement about my friend's height?
A: My friend is taller than the average woman.
B: My friend is 1.4 inches shorter than the average woman.
Both A and B are true statements.
Neither A nor B is a true statement.
3 answers
how would the friend be taller than the average woman if the z score is negative, Doesn't this mean that her height is below the mean?
Apologies for the confusion. You are correct. A negative z-score indicates that your friend's height is below the mean height of adult women.
Therefore, neither statement A nor statement B is a true statement.
Therefore, neither statement A nor statement B is a true statement.