The golden comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. according to recent studies, the mean rate of egg production for 1-year-old golden comets is 5.8 eggs/week. sarah has 40 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. her hens exhibit a mean egg-laying rate of 6.2 eggs/day. sarah wants to determine whether the mean laying rate μ for her hens is higher than the mean rate for all golden comets. assume the population standard deviation to be eggs/day. compute the value of the test statistic.