Question

Statistics The distribution of heights of American women aged 18 to 24 is approximately normally distributed with a mean of 65.5 inches and a standard deviation of 2.5 inches. Calculate the z-score for a woman six feet tall.
A 2.60 B 4.11 h С 1.04 D 1.33 ​

Answer 1

Step-by-step explanation:

A. 2.60 is the correct option

Answer 2

Answer:

Final Answer.

Step-by-step explanation:

Given,

Age group 18 to 24

Mean = 65.5 inches, and

Standard Deviation = 2.5 inches.

To Find:

The z score for a six feet tall woman.

We know that,

1 feet = 12 inches

So, 6 feet = 72 inches

The Formula:

Z-Score = $\frac{x-x'}{Standard Deviation}$

             = $\frac{72-65.5}{2.5}$

             = 2.6

Hence, the final answer is 2.6

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