Respuesta :
Answer:
84%
Step-by-step explanation:
The Empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Mean = 8.06
Standard deviation = 1.52
Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.
Using the first rule if Empirical formula
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
μ + σ
= 8.06 + 1.52 = 9.58
This satisfies one side of the distribution, hence:
100 - 68%
= 32%
P(x >9.58) = 32%/2 = 16%
Hence,the percentage of American women have shoe sizes that are less than 9.58 is
P(x < 9.58) = 100 - 16%
= 84 %
