Question

Specifications for the computer upgrades are 77 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
1		2		3		4		5		6
79.2		78.4		79.6		78.9		80.5		79.7
81.9		78.7		79.6		79.8		79.6		80.6
80.0		81.0		78.9		79.7		80.4		79.1
78.4		80.4		80.3		79.4		78.5		80.0
81.0		80.1		80.8		80.6		78.8		81.1

Expected process output              %

Answer 1

Answer:

Let's represent the given data in a tabular form as below:

We will find the percentage of process output that can be expected to fall within the specifications by applying the following formula:

Expected Process Output WIthin the Specification (%) =

= 100 - [(No. of Observations Falling Outside the Specifications / Total No. of Observations) X 100]

Where,

No. of Observations falling outside the specifications = No. of Observations having the value less than 77 + No. of Observations having the value more than 81  (i.e, 81.9, and 81.1)

= 0 + 2 = 2

(Note: Specification range = 77 to 81 Minutes)

Total No. of Observations = 30

Hence, we get:

Expected Process Output WIthin the Specification (%) =

= 100 - [( 2 / 30) X 100] = 100 - 6.67 = 93.3 % (Rounded to 1 decimal place)