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Sagot :
Answer: 0.0397
Explanation
Given
• Normal distribution
,• μ = 25.9
• σ = 74.2
,• n = 99
,• Mean between 28.1 and 35.6
Procedure
As we have a normal distribution, we can get Z-score to approximate the probability using the following formula for both values:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]• Lower value
[tex]Z_1=\frac{28.1-25.9}{74.2}=0.030[/tex]• Upper value
[tex]Z_2=\frac{35.6-25.9}{74.2}=0.131[/tex][tex]P\left(28.1Using the Standard Normal Table we can conclude that:[tex]P(28.1\lt M\lt35.6)=P(0.030\lt Z\lt0.131)=0.0397[/tex]
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