A packaging system fills boxes to an average weight of 19 ounces with a standard deviation...
A packaging system fills boxes to an average weight of 19 ounces with a standard deviation of 0.4 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight. (You may find it useful to reference the z table. Round "z" value to 3 decimal places and final answers to 2 decimal places.)
Homework Answers
SOLUTION-
GIVEN THAT
Average weight of packaging fills boxes (
)
=19
Standard deviation 
=0.4
Step-(1)
Weights are normally distributed since Quartiles are given by
Q1 =
- 0.6745
Q2=
Q3 =
+ 0.6745
Step-(2)
put the given values in step 1 and get the quartiles
| Q1 | 19- 0.6745*0.4 = 18.7302 |
| Q2 | 19 |
| Q3 | 19+ 0.6745*0.4 = 19.2698 |
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