At ABC department store they wish to investigate the effect of
assisting trained sales people in
the store on sales. They believe that the sales will be less if
there was no trained sales people in
the shop to help customers around. To test that claim, they
recorded mean sales over a period of
15 days with no assisting sales people in the store, and then
recorded mean sales over 14 days
with assisting sales people around the store. The results were
recorded in the below table:
No assisting sales people in
the store (1)
With assisting sales people
around the store (2)
Sample standard deviation s1 = $500 s2 = $600
Sample Mean sales x̄1 = $5,000 x̄2 = $5,500
Sample size (days) n1 = 15 n2 = 14
Assume that random samples came from normal population with equal
standard
deviations.
At the 0.025 (2.5%) significance level, can it be concluded that
the mean sales with no assisting
sales people is less than the mean sales with assisting sales
people available around the store?
a. Use 5 steps Hypothesis testing.
b. Confirm your answer using the P-value method.
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