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crimeas [40]
3 years ago
5

Ninety-five percent of students at an elementary school are between 3.6 feet tall and 5.5 feet tall. Assume the height data at t

his school is normally distributed. Use the normal curve below and the empirical rule to find the mean and then the standard deviation for the height data. Round to two decimal places.
Mathematics
1 answer:
vazorg [7]3 years ago
3 0

Answer:4.55,0.47

Step-by-step explanation:

Given height varies from 3.6 feet to 5.5 feet for 95% student

i.e.

95% data falls in the interval of (\mu  -2\sigma ,\mu +2\sigma )

So

\mu -2\sigma=3.6-----------(1)

\mu +2\sigma=5.5 -----------(2)

Solving (1)&(2) we get

\mu =4.55

\sigma =0.475

Thus mean=4.55

And standard deviation=0.47

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