Skodel Ltd is a small brewery that is undergoing a major expansion after a takeover by a large European brewery chain. Skodel Ltd produces a range of beers and lagers, and is renowned for the quality of its beers, winning a number of prizes at trade fairs throughout the European Union. The new parent company is reviewing the quality control mechanisms being operated by Skodel Ltd and is concerned at the quantity of lager in its premium lager brand, which should contain a mean of 330 ml and a standard deviation of 15 ml. The bottling plant manager provided the parent company with quantity measurements from 100 bottles for analysis (see Table 1.40).

(a) Form a grouped frequency table.

(b) Plot the histogram.

(c) Do the results suggest that there is a great deal of variation in quantity in the bottles?

(d) What conclusions can you draw from these results?

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326 344 333 346 339 353 310 351 350 348 Table 1.40 326 326 344 344 333 333 346 346 339 339 353 353 310 310 351 351 350 350 348 348 326 326 344 344 333 333 346 346 339 339 353 353 310 310 351 351 350 350 348 348 326 344 333 346 339 353 310 351 350 348 326 344 333 346 339 353 310 351 350 348 326 344 333 346 339 353 310 351 350 348 326 344 333 346 339 353 310 351 350 348 326 344 333 346 339 353 310 351 350 348