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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.33 and a standard deviation of 1.5. Using
the empirical rule, what percentage of American women have shoe sizes that are no more than 11.33? Please do not round your answer.

Respuesta :

Cricetus

"97.5" will be the American women's % having their shoe sizes that are no more than 11.33.

Given values are:

  • Mean = 8.33
  • Standard deviation = 1.5

Now,

= [tex]8.33 + 2\times 1.5[/tex]

= [tex]11.33[/tex] (2 above Standard deviation)

→ The data values are between 8.33 and 11.33,

= [tex]\frac{95}{2}[/tex]

= [tex]47.5[/tex] (%)

→ The data value below 11.33,

= [tex]50[/tex] (%)

hence,

→ The percentage of American women will be:

= [tex]50+47.5[/tex]

= [tex]97.5[/tex] (%)

Thus the above answer is appropriate.

Learn more about empirical rule here:

https://brainly.com/question/18529739

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