Question

Specifications for the computer upgrades are 76 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) SAMPLE 79.2 79.6 79.6 78.9 80.2 79.7 80.0 78.7 79.6 80.3 79-6 80.6 80.0 81.0 79.0 79.7 80.4 80.8 78.4 80.4 80.3 79-4 80.9 80.0 81.0 80.1 80.8 80.6 78.8 81.1 -96 Expected process output

Answer 1

Solution:

Given, Upper Specification Limit (USL) = 81 minutes

Lower Specification Limit (LSL) = 76 minutes

Number of samples = 6

Number of observations in each sample = 5

Total number of observations = 6 x 5 = 30 observations

In the given values, it can be observed that from the 30 observations, only one observation - 81.1 falls outside the specification limits of (LSL = 76) and (USL = 81). Rest all of the 29 observations fall within the given specification limits.

Expected process output = (Number of observations falling within the limits / Total observations) x 100

Expected process output = (29 / 30) x 100

Expected process output = 96.7%