Question 1

Bluesea Seafoods are a supplier of pre-packed seafood to the two major supermarket chains. Their Quality Assurance Officer is responsible for ensuring the pre-packaged items comply with their marked weights. They routinely inspect their smoked salmon product to determine if the contents of these packets weight at least the 180 grams advertised. A random sample of 90 packets of smoked salmon, whose advertised weight claims to be 180 grams, yielded the following statistics:

         X¯=182X¯=182 grams

         S =5.2 S=5.2 grams 

(a) Construct a 95% confidence interval estimate for the mean weight of the pre-packaged smoked salmon with an advertised weight of 180 grams. Hint: clearly justify the choice of the sampling distribution of the sample mean. Include the steps of the confidence interval estimation and appropriate critical values. 

(b) Interpret the estimated confidence interval obtained in (a).