Discussion:
Q: A fish wholesaler has a catch of several thousand lobsters. A prospective buyer selected 40 at random and obtained the following weights in ounces:
21.3, 21.1, 21.4, 18.8, 20.2, 19.3, 19.1, 18.3, 19.9, 22.0,
20.6, 20.7, 21.9, 20.1, 17.1, 19.3, 21.2, 18.4, 21.0, 21.6,
16.5, 18.9, 17.4, 20.8, 18.5, 18.1, 21.1, 19.3, 21.5, 20.1,
21.8, 20.2, 19.7, 18.9, 19.5, 20.0, 18.7, 21.6, 20.9, 21.5,
The prospective buyer will purchase the entire catch if it can be shown that the mean weight (of the entire catch) exceeds 19.9 ounces. Should he purchase the entire catch?"