The data below has been collected for a time and motion study of a cut and fill operation. A fleet of Caterpillar $621$K scrapers were used to perform the operation. The average one$-$way haul distance was one$-$half of a mile. The soil has an estimated swell of $20\%,$ and the model scraper$$s heaped capacity is $24$ cubic yards. Using this data collected from monitoring one of the scrapers

$($observer at the dumping site$),$ answer the following questions:

a$)$ What is the average cycle time?

b$)$ What is the estimated productivity for the scraper?

c$)$ Based on a consideration of the dispersion of the data, the comments in the notes, and the limitations of the observation, are there any questions that should be further asked about the

operation? Explain.