An appliance manufacturer wants to contract with a repair shop to handle authorized repairs. the company has an acceptable range of repair time from 50 minutes to 90 minutes. two firms have submitted bids for the work. in the evaluation trail, one firm had a mean repair time of 74 minutes with standard deviation of 4.0 minutes, and the other firm had a mean repair time of 72 minutes with a standard deviation of 5.1 minutes. which firm would you choose, and why? show your calculations.

First Vendor

Step-by-step explanation:

Given

company acceptable range

Upper control limit=90 minutes

Lower control limit=50 minutes

Mean of first vendor=74 minutes

standard deviation

Mean of second vendor=72 minutes

Standard deviation

To find better vendor we use Process capability index which is given by

The Process capability index for first vendor is 1.33

For Second Vendor

The process capability index of Vendor 2 is 1.176

Thus Vendor is chosen over vendor 2 because its Process capability index is higher

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.