A pizza place recently hired additional drivers and as a result now claims that its average delivery time for orders is under 43 minutes. A sample of 38 customer deliveries was examined, and the average delivery time was found to be 40.5 minutes. Historically, the standard deviation for delivery time is 10.4 minutes. Using 0.01 complete parts a and b below.
a. Does this sample provide enough evidence to support the delivery time claim made by the pizza place? Determine the null and alternative hypotheses. ?
H₀ : μ ___
H₁ : μ ____