Question

work ready math i lesson 4.6.2
a quality assurance analyst reviews the table and calculations for all three
products. he concludes that there is a significant problem with the overall failure
rate of 22.92%.
a second analyst reviews the same table and calculations. at which step will this
analyst find an error?
a) checking the data for recording errors
b) checking the formula and order of operations
c) checking the calculations
d) the work is correct.

Explanation:

Step1: Calculate the total number of units

Total units = \(100 + 400+100=600\)

Step2: Calculate the total number of failures

Total failures = \(40 + 20+20 = 80\)

Step3: Calculate the overall failure rate

Overall failure rate \(=\frac{80}{600}\approx13.33\%
eq22.92\%\)

The error is in the formula for overall failure rate. The overall failure rate should be \(\frac{\text{Total failures}}{\text{Total units}}\), not the sum of individual failure rates.

Answer:

B. checking the formula and order of operations