A work sampling method is used to determine the proportion of the time a machine is idle.The following information was gathered on a random basis. What is the proportion of idle time observed for this machine?
A)less than or equal to 5%
B)greater than 5% but less than or equal to 15%
C)greater than 15% but less than or equal to 25%
D)greater than 25%

Question

A work sampling method is used to determine the proportion of the time a machine is idle.The following information was gathered on a random basis.  What is the proportion of idle time observed for this machine?
A)less than or equal to 5% 
B)greater than 5% but less than or equal to 15% 
C)greater than 15% but less than or equal to 25% 
D)greater than 25%

Quizplus · Accepted Answer

Based on the provided image, there are a total of 100 observations taken and 26 of them show idle time. To determine the proportion of idle time, we divide the number of observations with idle time (26) by the total number of observations (100) and multiply by 100 to get a percentage.

Idle time proportion = (26/100) x 100 = 26%

Therefore, the proportion of idle time observed for this machine is greater than 15% but less than or equal to 25%, which corresponds to choice C.

A Work Sampling Method Is Used to Determine the Proportion