A Supermarket Sells Rotisserie Chicken at a Fixed Price Per

Essay

A supermarket sells rotisserie chicken at a fixed price per chicken rather than by the weight of the chicken. The store advertises that the average weight of their chickens is 4.6 pounds.
A random sample of 30 of the store's chickens yielded the weights (in pounds) shown
below. $$\begin{array} { l l l l l l l l l l } 4.4 & 4.7 & 4.6 & 4.4 & 4.5 & 4.3 & 4.6 & 4.5 & 4.6 & 4.9 \\4.6 & 4.8 & 4.3 & 4.4 & 4.7 & 4.5 & 4.2 & 4.3 & 4.1 & 4.0 \\4.5 & 4.6 & 4.2 & 4.4 & 4.7 & 4.8 & 5.0 & 4.2 & 4.1 & 4.5\end{array}$$
Find and interpret the $p$ -value in a test of $H _ { 0 } : \mu = 4.6$ against $H _ { a } : \mu < 4.6$ .