The fish market of Central Wanchai in Hong Kong has received some complaints from customers that some of the fish sold there were not the right size for the price. The manager of the market has decided to open an investigation into the case, and a sample of 16 tuna has been taken for analysis.

Below are the weights of the batch selected:

2.8 2.6 4 3.4 4 3.5 4.5 4 2 2.8 5 2.4 2.5 3.5 2.8 2.4 Given that it has been proven that the tuna weights are normally distributed:

a. Determine the mean and standard deviation of the batch.

b. Determine the standard error of the mean weight.

c. What conclusions can be obtained about the investigation? Are the customers right in this case?

( LO,1)