Respuesta :
Answer: 68.86 inches
Step-by-step explanation:
Given : In a survey of women in a certain country having
Mean : [tex]\mu=64.3\text{ inches}[/tex]
Standard deviation : [tex]\sigma=2.77\text{ inches}[/tex]
The z-value corresponds to 0.095 is 1.645. [Using standard normal distribution table]
The height that represents the 95th percentile is given by :-
[tex]H=z\times\sigma+\mu\\\\=1.6449\times2.77+64.3=68.856373\approx68.86\text{ inches}[/tex]
Hence, the height represents the 95th percentile = 68.86 inches.
Answer:
95th percentile = 68.86 inches.
Step-by-step explanation:
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