Location is known to affect the number, of a particular item, sold by an auto parts facility. Two different locations, A and B, are selected on an experimental basis. Location A was observed for 13 days and location B was observed for 18 days. The number of the 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 55 of these items with a sample standard deviation of 2. 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 0.1 level of significance? Select the [Alternative Hypothesis, Value of the Test Statistic]. a) [μ1 − μ2 > 0, t = −7.054]
b) [μ1 − μ2 < 0, t = −7.054]
c) [μ1 − μ2 = 0, -8.186]
d) [μ1 − μ2 ≠ 0, t = −7.054]
e) [μ1 − μ2 ≠ 0, -0.8186]
f) None of the above