I need help with the following MCQs: (Note – MCQs 2, 3, and 4 have the same graphic and statistics).

1) A shipment of 20,000 bags of oranges arrives at a distribution center with a nominal weight of 3200 g per bag. A sample of 10 bags is selected and weighed. The average weight of the sample is 3300g, and the standard deviation of weight among cartons is 80 g. Find a 95% confidence interval for the mean weight of all the bags of oranges in the shipment.

a) 3200 ± 25.3

b) 3300 ± 57.3

c) 3200 ± 57.3

d) 3300 ± 25.3

2, 3, and 4) A shipment of 20,000 bags of oranges arrives at a distribution center with a nominal weight of 3200 g per bag. A sample of 10 bags is selected and weighed. The auditor wishes to test the hypothesis that the average weight of the bags matches the nominal value vs. that the bags are overweight at α = 0.05. Here is some computer output on the analysis of this data.