Discuss the below:
Q: A manufacturer would like to estimate the average number of copies that can be made from a single bottle of toner. A random sample of 20 bottles was selected for this experiment. For the 20 bottles of toner the average number of pages was 1535 with a standard deviation of 50 pages.
a) Compute the 95% confidence interval for the average number of pages that can be made from a single bottle of toner. Interpret this interval.
b) How many bottles should be sampled in order to be 95% confident of being within 20 pages of the population mean number of pages per bottle?