Questions: Weekly Goals: Sun-Sat 4/4/40 Absence Rate, Quality Score 2/9/37 Output Score Week Job Sat Score Absence Rate Quality Score Output Score 1 3.90 0.06 0.92 9 2 3.80 0.07 0.89 11 3 3.90 0.04 0.84 9 4 4.00 0.03 0.82 11 5 4.10 0.03 0.92 9 6 3.70 0.05 0.89 9 7 3.70 0.05 0.89 9 8 4.40 0.06 0.82 10 Over the last four weeks, how is the team doing compared to the quality goal? ○ About 15% below target ○ About 12% below target ○ About 8% below target ○ About 5% below target

Solution Steps

To determine how the team is performing compared to the quality goal, we first need to calculate the average quality score for the last four weeks (Weeks 5 to 8).

The quality scores for these weeks are:

• Week 5: 0.92
• Week 6: 0.89
• Week 7: 0.89
• Week 8: 0.82

The average quality score is calculated as follows:

\[ \text{Average Quality Score} = \frac{0.92 + 0.89 + 0.89 + 0.82}{4} \]

\[ = \frac{3.52}{4} = 0.88 \]

The quality goal is 0.92. We need to determine how much the average quality score of 0.88 is below this goal.

The difference is:

\[ \text{Difference} = 0.92 - 0.88 = 0.04 \]

To find the percentage below the target, we use the formula:

\[ \text{Percentage Below Target} = \left(\frac{\text{Difference}}{\text{Quality Goal}}\right) \times 100\% \]

\[ = \left(\frac{0.04}{0.92}\right) \times 100\% \approx 4.35\% \]

Final Answer