2. Vendors in the area have a mean sale of $500 each day. The standard deviation if $50. A new vendor entered the market and has started selling hot lunches. A vendor told her that she is not doing as well and should switch to selling traditional things like chips, soda, etc. She hires you to test if the claim of her friend is true, i. E., is she doing worse than others. The mean for daily sales for a randomly select 9 daily sales is $450. At α = 0.05, a. test to see if the average sale for your client is less than the average sales for vendors in the area.