An inspector would like to estimate the percentage of canned mushroom soup that has rusted in a truckload shipment that they received. The truck has 1000 boxes of canned mushroom soup, each of which...

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Extracted text: An inspector would like to estimate the percentage of canned mushroom soup that has rusted in a truckload shipment that they received. The truck has 1000 boxes of canned mushroom soup, each of which has 24 cans. The inspector randomly sampled 50 boxes and inspected each can to check for rust. Below are the results of the inspection. No. of rusted cans No. of sampled boxes 1 2 42 3 a. Is this a cluster sample? Why or why not? If it is a cluster sample, what are the clusters and what are the elements? b. Is this a two-stage or a one-stage sampling design? c. Estimate the percentage of canned mushroom soup that has rust. d. Give a 95% confidence interval on the estimate in c.