The time taken for guests to check out at a hotel front desk was measured over t

Question

The time taken for guests to check out at a hotel front desk was measured over the course of several weeks. The management believes that the target time for checking out guests should be between 2 and 3 minutes with a target of 2.5 minutes. The data gathered for the actual process had a mean time of 2.75 minutes with a standard deviation of 0.45 minutes. The process capability index will be:

Select one:

a. more than 4 but less than or equal to 5.

b. more than 3 but less than or equal to 5.

c. more than 5.

d. less than or equal to 1.

Explanation / Answer

Following are the given data :

Upper specification limit ( USL ) for guests to check out = 3 minutes

Lower specification Limit ( LSL ) for =guests to check out = 2 minutes

Actual process mean = m = 2.75 minutes

Standard deviation of the process = Sd = 0.45

The process capability Index , Cpk

= Minimum ( ( USL – m ) /3 x Sd , ( m – LSL) / 3 xSd )

= Minimum ( ( 3 – 2.75 ) / 3 x .45 , ( 2.75 – 2 ) / 3 x 0.45)

= Minimum ( 0.25/3 x 0.45 , 0.75/3 x 0.45)

= Minimum ( 0.185 , 0.555)

= 0.185

Therefore, correct answer would be “ d. less than or equal to 1 “

ANSWER : d ) LESS THAN OR EQUAL TO 1

ANSWER : d ) LESS THAN OR EQUAL TO 1

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