1. Many organizations check up on their own level of quality by using mystery shoppers. This involves an employee of the company acting out the role of a customer and recording how the employee is treated by the operation. Choose two or three high-visibility operations (for example, a cinema, a department store, the branch of a retail bank, etc.) and discuss how you would put together a mystery shopper approach to testing their quality. This may involve your determining the types of characteristics you would wish to observe, the way in which you would measure these characteristics, an appropriate sampling rate, and so on. Try out your mystery shopper plan by visiting these operations.

2. A vaccine production company has invested in an automatic tester to monitor the impurity levels in its vaccines. Previously all testing was done by hand on a sample of batches of serum. According to the companys specifications, all vaccine must have impurity levels of less than 0.03 milligrams per 1,000 litres. In order to test the effectiveness of its new automatic sampling equipment, the company runs a number of batches through the process with known levels of impurity. The table below shows the level of impurity of each batch and whether the new process accepted or rejected the batch. From this data, estimate the Type I and Type II error levels for the process.