A worker honeybee leaves the hive on a regular basis and travels to flowers and other sources of pollen and nectar before returning to the hive to deliver its cargo. The process is repeated several times each day in order to feed younger bees and support the hive’s production of honey and wax. The worker bee can carry an average of 0.0113 gram of pollen and nectar per trip, with a standard deviation of 0.0063 gram. Fuzzy Drone is entering the honey and beeswax business with a new strain of Italian bees that are reportedly capable of carrying larger loads of pollen and nectar than the typical honeybe
e. After installing three hives, Fuzzy isolated 200 bees before and after their return trip and carefully weighed their cargoes. The sample mean weight of the pollen and nectar was 0.0124 gram. Can Fuzzy’s bees carry a greater load of pollen and nectar than the rest of the honeybee population? Complete the appropriate hypothesis test at the 0.01 level of significance.
a. Solve using the p-value approach.
b. Solve using the classical approach.