Question 1 (8 points)

A company claims that it puts an average of 750ml in its soft drink bottles labeled as such. A random sample of 40 bottles revealed an average content of 748.6ml with a standard deviation of 2.5ml.

(a). (4 points) Based on this sample, do you believe the company's claim at = 0.05.

(b). (4 points) Check your results in (a) using the Excel function to compute the margin of error. Based on the margin of error, construct a 95% confidence interval of the average content.

Question 2 (12 points)

A charcoal chicken establishment advertises that its chickens have an average weight of 1.8kg. A random sample of 10 chickens purchased by a customer over the past few weeks had a mean weight of 1.65kg with a standard deviation of 0.60kg. If chicken weights are normally distributed, is it possible that the establishment is being truthful? Test at = 0.05.

(a). (4 points) Construct a 95% confidence interval of the average weight.

(b). (4 points) Use the critical value approach.

(c). (4 points) Use the p-value approach