1. An amusement park bought a new technology. When a customer enters the line, it predicts the wait time range. On the roller coaster, the predicted range is 5 to 15 minutes. The amusement park has repeatedly sampled the times customers wait and found the average time to be 7 min and the standard deviation 4 min, normally distributed. Customers like some anticipation and can tolerate some waiting. However, when the wait ends up being longer than 10 minutes, they file complaints via Yelp.

1. (4 points) Is the process capable at the 3 level? Please explain.

Response: _________ ( is or is not capable of 3 sigma)

Detailed calculations

1. (6 points) What is the probability of a "defect?"

Response: _________ % probability

Detailed calculations