Q1) A state meat inspector in Iowa has been given assignment of evaluating the mean net weight of packages of ground chuck labelled "3 pounds." Of course, he realizes that weights cano't be precisely 3 pounds.  Sample of 36 packages reveals mean weight to be 3.01 pounds, with the standard deviation of 0.03 pounds. 

i) Determine the estimated population mean?

ii) Find out a 95% confidence interval for population me

Q2) Sunshine Farms wishes to know whether there is difference in consumer preference for 2 new juice products-Citrus Fresh and Tropical Taste. In initial blind taste test, 8 arbitrarily chosen consumers were given unmarked samples of two juices. Product which each consumer tasted first was arbitrarily decided by flip of coin. After tasting two juices, each consumer was asked to select which juice he or she favoured, and results were recorded.

Q3)a) Sunshine farms plans to add one of these 2 new juices-citrus Fresh or Tropical taste-to its production schedule. Follow up study will be performed to decide which of two new juices to make. Make one recommendation for follow up study which would make it better than initial study.  

b) Give a statistical justification for your suggestion in context of the problem.