Question

Assume the data set described is normally distributed with the given mean and standard deviation, and with n

total values. Find the approximate number of data values that will fall in the given range.

Mean= −14.5

Standard deviation= 1.7

n= 120

Range: −17.9 to −11.1

in this case, we expect about data values to fall between -17.9 and −11.1 |

Answer #1

**Given:**

= -14.5, = 1.7

**Find**: P(-17.9 <
X < -11.1)

P(-17.9 < X < -11.1) = P(-2 < Z < 2)

P(-17.9 < X < -11.1) = P(Z < 2) - P(Z < -2)

P(-17.9 < X < -11.1) = 0.9772 - 0.0228 .....Using standard Normal table

**P(-17.9 < X < -11.1) =
0.9545 **

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