2. A random sample of 30 apples was taken from a batch. The mean weight of the sample was 124 g with standard deviation 20 g .
- Find a \(99 \%\) confidence interval for the mean weight \(\mu\) grams of the population of apples. Write down any assumptions you made in your calculations.
Given that the actual value of \(\mu\) is 140 ,
- state, with a reason, what you can conclude about the sample of 30 apples.