Location is known to affect the number, of a particular item, sold by an automobile dealer. Two different locations, A and B, are selected on an experimental basis. Location A was observed for 18 days and location B was observed for 13 days. The number of particular items sold per day was recorded for each location. On average, location A sold 39 of these items with a sample standard deviation of 8 and location B sold 49 of these items with a sample standard deviation of 4.
Does the data provide sufficient evidence to conclude that the true mean number of sales at location A is fewer than the true mean number of sales at location B at the 0.01 level of significance?
Select the [Alternative Hypothesis, Value of the Test Statistic].

a) [H1: H2 < 0, t = -4.571]
b) [H1: H2 > 0, t = -4.571]
c) [H1: H2 ≤ 0, t= -0.4137]
d) [H1: H2 ≥ 0, t = -4.571]
e) [H1: H2 = 0, t= -4.137]
f) None of the above