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Chapter 7: Q. 42 (page 429)

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24pounds, and the highest is 26pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100weights is taken.

Draw the graph from Exercise7.41

Short Answer

Expert verified

The graph is

Step by step solution

01

Given Information

We have 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. The distribution of weights is uniform.

02

Explanation

From Example, 7.41we know:

The mean of the uniform distribution is

μX=a+b2

=24+262

=25

The standard deviation is

σx=(b-a)212

=(26-24)212

=412

=0.5774

The distribution of the mean weight of 100,25-pounds is

X¯~NμX,σX/n

X¯~N(25,0.0577)

Also, in Example 7.41we calculate 90th percentile for the mean weight for 100 weights is25.07

03

Final Answer

The graph for our Example is

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