Q 10 The manager of a fitness centre wishes to estimate the mean number of people who attend the boxing classes during a day as an aid to the establishment of their personnel requirements. The manager randomly selects 32 different weeks and determines the number of attendees for each day. For this sample, the sample mean was 25 people and standard deviation was 8 people.

Provide a point estimate for the number of people attend the boxing classes during a day. Explain your reasoning. Construct a 99% confidence interval for the true mean number of people who attend the boxing classes during a day and provide a plain language interpretation of the interval. Show your workings