After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. typical grocery-store hams are smoked for a short period of time, whereas gourmet hams are usually smoked for at least one month. a random sample of 36 grocery-store hams was obtained, and the length of the smoking time was recorded for each. the mean was
hours. assume σ = 8 hours.

(1 pt.) a) what assumptions are required so that you can construct a confidence interval?
(1 pt.) b) find a 99% confidence interval for the for the mean amount of time a grocery-store

ham is smoked.
(1 pt.) c) interpret your answer in part b).
(1 pt.) d) the precision required for someone in the deli who cooks the grocery store hams is a

margin of error (half-width) of 2 hours. how large a sample is necessary for this precision?