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 5.2 eggs/week.

Sarah has 45 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 5.4 eggs/day.

Sarah wants to determine whether the mean laying rate for her hens is higher than the mean rate for all Golden Comets. Assume the population standard deviation to be = 1.1 eggs/day. Compute the value of the test statistic.