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
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Verified answer
Step-by-step explanation:
A. 2.60 is the correct option
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 = [tex]\frac{x-x'}{Standard Deviation}[/tex]
= [tex]\frac{72-65.5}{2.5}[/tex]
= 2.6
Hence, the final answer is 2.6
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