The owner of Touchdown Sports Bar wants to develop a time standard for the task of mixing a specialty cocktail. In a preliminary study, he observed one of his bartenders perform this task seven times with an average of 90 seconds and a standard deviation of five seconds.
What is the normal time for this task if the bartender worked at a 20 percent faster pace than is average?
A) 75 seconds
B) 90 seconds
C) 108 seconds
D) 110 seconds
E) 112.5 seconds

Question

The owner of Touchdown Sports Bar wants to develop a time standard for the task of mixing a specialty cocktail. In a preliminary study, he observed one of his bartenders perform this task seven times with an average of 90 seconds and a standard deviation of five seconds.
What is the normal time for this task if the bartender worked at a 20 percent faster pace than is average?
A) 75 seconds
B) 90 seconds
C) 108 seconds
D) 110 seconds
E) 112.5 seconds

Quizplus · Accepted Answer

To find the normal time for the task, we need to use the formula: Normal Time = Average Time + (Z-score x Standard Deviation), where Z-score is calculated using the percentage faster than average.

In this case, the bartender worked at a 20% faster pace than average, so the Z-score is 0.84 (using a Z-table).

Normal Time = 90 seconds + (0.84 x 5 seconds) 
Normal Time = 94.2 seconds

Therefore, the normal time for this task is 94.2 seconds.

To find the answer choice that is closest to 94.2 seconds but also matches the answer choices given, we can round up to the nearest multiple of 4. For example:

A) 75 seconds - too low 
B) 90 seconds - too low 
C) 108 seconds - closest to 94.2 seconds 
D) 110 seconds - too high 
E) 112.5 seconds - too high

Therefore, the best choice is C.

The Owner of Touchdown Sports Bar Wants to Develop a Time