The Golden Comet Is a Hybrid Chicken That Is Prized $5.8$

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 $\mu$ for her hens is higher than the $\mathrm { m }$ rate for all Golden Comets. Assume the population standard deviation to be $\sigma = 1.7$ eggs/day. Compute the value of the test statistic.

A) 1.94
B) 1.49
C) 0.24
D) 0.93