### Home > INT3 > Chapter 7 > Lesson 7.2.5 > Problem7-120

7-120.

A company makes metal plates on which they put a special coating. Flaws appear in the finish of these metal plates and the company wants to establish a quality control system. A machine scans each plate after it is finished and reports the number of flaws. The data they collect for $50$ samples is sorted and shown below.

 $0$ $2$ $3$ $5$ $6$ $7$ $8$ $10$ $11$ $13$ $1$ $2$ $3$ $5$ $6$ $7$ $8$ $10$ $11$ $13$ $1$ $3$ $4$ $5$ $7$ $7$ $9$ $10$ $12$ $13$ $1$ $3$ $4$ $6$ $7$ $8$ $9$ $10$ $12$ $14$ $2$ $3$ $4$ $6$ $7$ $8$ $10$ $11$ $12$ $21$ checksum $360$

Think about the quality control bounds for this company. Should you reject plates that have too few flaws? What upper and lower bounds make sense?

Reject the upper $10\%$ of the data.