Reference no: EM132523227

The Quality Assurance Officer for DagWorths Supermarket is responsible for ensuring prepackaged apples comply with their marked weights. They routinely inspect prepacked apples to determine if the apples comply with their marked weights. They routinely inspect prepacked apples to determine if the contents of the 5kg of apples weight at least the 5 kilograms advertised. A random sample of 90 contents of the 5kg of apples weight at least the 5 kilograms advertised. A random sample of 90 bags, whose advertised weight claims to be 5kg, yielded the following statistics:

bags, whose advertised weight claims to be 5kg, yielded the following statistics:

X

¯

=5.39

X¯=5.39

S=0.5

S=0.5

(a) Construct a 95% confidence interval estimate for the mean weight of a bag of pre-packaged apples.

(a) Construct a 95% confidence interval estimate for the mean weight of a bag of pre-packaged apples. Hint: clearly justify the choice of the sampling distribution of the sample mean. Include the steps of the 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.

confidence interval estimation and appropriate critical values.

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

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