The Golden Comet Is a Hybrid Chicken That Is Prized $5.6$

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 $5.6$ eggs/week.

Sarah has 47 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 $6.1 \mathrm { eggs } /$ day.
Sarah wants to determine whether the mean laying rate $\mu$ for her hens is higher than the $m$ rate for all Golden Comets. State the appropriate null and alternate hypotheses.

A) $H _ { 0 } : \mu < 6.1 , H _ { 1 } : \mu = 6.1$
B) $H _ { 0 } : \mu > 5.6 , H _ { 1 } : \mu = 5.6$
C) $H _ { 0 } : \mu = 5.6 , H _ { 1 } : \mu > 5.6$
D) $H _ { 0 } : \mu = 6.1 , H _ { 1 } : \mu \neq 6.1$