MBA 6018
U04A1 – Interference Using Multiple Samples
Scenario I
You are the manager of the Gander Mountain store in Frogtown, IL. Recently, a customer mentioned that they believed your prices for ammunition were lower than the prices of Gander Mountain’s primary competitor in the hunting equipment store Cabela’s. You would like to be able to include that statement in a forthcoming print advertisement, so you need statistical evidence to support the assertion.
1. Identify the null and alternative hypothesis needed to test the contention.
We are concern about the ammunition ($) difference between Gander Mountain (u1) and Cabela’s (u2).
Null: Ho: Gander Mountain (u1) < Cabela’s (u2)
Alt: Ha: Gander Mountain (u1) > Cabela’s (u2)
Based on information from outside consumer the null hypothesis that our brand (u1) prices are less than competitor brand (u2) is rejected, making the alternative hypothesis (u1) with higher prices to be accepted.
2. Then identify the most appropriate sample section technique to gather data for testing the hypothesis.
Use a probability sample or simple random sample technique for both companies; generating random sample purchase dates and various ammunition purchases.
3. What statistical test should you use to accept or reject this hypothesis using the data you will collect?
If the standard deviation is unknown, we assume the t-test will work since we have two independent samples. Option 2: t-test or z-test has equal value and both tests could be used if the independent sample size is large enough.
Scenario II
Your love of golf has brought you back to the range as the new product manager for UniDun’s Straight Flight (SF) line of golf balls. The company’s research and development group has been experimenting with dimple patterns that promote straight flight and feel they have achieved some degree of success. You, however, are worried about the effect that the new pattern might have on driving distance.
The Golf Ball