Location is known to affect the number, of a particular item, sold by Walmart. T

Question

Location is known to affect the number, of a particular item, sold by Walmart. Two different locations, A and B, are selected on an experimental basis. Location A was observed for 9 days and location B was observed for 13 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 9 and location B sold 51 of these items with a sample standard deviation of 6. 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 0.05 level of significance? Select the [Alternative Hypothesis, Value of the Test Statistic].

a) [1 2 0, -0.3765]

b) [1 2 = 0, -3.765]

c) [1 2 < 0, t = 3.498]

d) [1 2 > 0, t = 3.498]

e) [1 2 0, t = 3.498]

f) None of the above

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 < 0
(without pooled variances)

Hypothesis test results:

Hence,

The correct combination will be:

[1 2 < 0, t = 3.498]

Option C is correct.

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