Question

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

Draw the graph from the exercise$7.43$.

Short answer

The graph for the question is

Step-by-step solution

Step 1:Given information

Given in the question that

A manufacturer produces 25 -pound lifting weights

lowest actual weight is 24 pounds

highest is 26 pounds

Step 1 explanation

Explanation:

The mean of the uniform distribution is'

${\mu }_x=\frac{a+b}{2}$

$=\frac{2400+2600}{2}$

$=2500$

The standard deviation is;

${\sigma }_x=\sqrt{\frac{(b-a{)}^2}{12}}$

$=\sqrt{\frac{(2600-2400{)}^2}{12}}$

$=\sqrt{\frac{40000}{12}}$

$=5.774$