Question

An assembly line is manufacturing gears that have a circumference of 8 cm. The tolerance for the circumference of the gears is 0.03 cm. To check the quality of the gears, the foreman has pulled 19 off the line and measured their circumferences. What percentage of the gears fall outside of the tolerance? Round up to the nearest percentage. {7.96, 7.965, 7.97, 7.982, 7.99, 7.99, 8, 8, 8, 8, 8, 8, 8.01, 8.01, 8.012, 8.02, 8.025, 8.029, 8.031

Answer 1

Answer:

15.8 %

Explanation:

8 cm with a tolerance of 0.03 means:

8 - 0.03 = 7.97

and

8 + 0.03 = 8.03

Considering all the samples that have been taken out,

7.96, 7.965, 7.97, 7.982, 7.99, 7.99, 8, 8, 8, 8, 8, 8, 8.01, 8.01, 8.012, 8.02, 8.025, 8.029, 8.031

We can see that

7.96, 7.965, 8.031 falls out side the tolerance

Percentage of samples outside tolerance =(3/19) * 100  = 15.8 %