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Chapter 7: Q. 58 (page 430)

A uniform distribution has a minimum of six and a maximum of ten. A sample of 50is taken.

Find the first quartile for the sums.

Short Answer

Expert verified

The first quartile for the sums is 394.53.

Step by step solution

01

Given Information

A uniform distribution has a minimum of six and a maximum of ten. A sample of 50is taken.

02

Calculation

We know that the distribution of the sums is N(400,8.165)

We have to find zfrom the probability:

P(危x<z)=0.25

localid="1649094245554" P危x-4008.165<z-4008.165=0.25

If variable Zhas a standard normal distribution, then

P(Z<0.67)=0.75

Thus, we can find zas:

z-4008.165=-0.67

z-400=-5.47055

z=394.53

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