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3.1
Quantitative Statistical Tools
Question | Answer |
---|---|
You want to compare the average daily gas prices in your neighborhood to average daily gas prices by the Interstate. Name your tool. | Two Sample t-test |
You want to compare the average weekly gas prices in your neighborhood to your annual budgeted price. Name your tool. | One Sample t-test |
T-test uses this test statistic | T-stat. (must be higher than critical value to reject the null) |
ANOVA uses this test statistic | F-stat. (must be higher than critical value to reject the null) |
You want to compare price per gallon between the neighborhood gas station, the Grocer station and the Interstate station. Name your tool. | ANOVA |
You want to compare the number of times the price per gallon at your neighborhood station and the Grocer station exceeds the budget price. Name your tool. | Chi-square. The # of times is a frequency, not an average. This is nominal data. |
_________takes information from one data set and can predict information for another data set. | Regression |
There is no significant difference in the price per gallon between Station #1 and Station #2. Which hypothesis am I? | Null Null is always "no" |
Your p-value is 0.04. Can you reject the null? | Yes. LESS then 0.05 means YES. when interpreting the p-value. |
Your t-stat is 2.06 and your t-critical is 1.65. Can you reject the null? | Yes. If your score (t-stat) is larger than your cut score (t-critical), you pass the test! |
Your F-stat is 0.26 and you F-critical is 1.96. Can you reject the null? | No. If your score (F-stat) is smaller than your cut score (F-critical), you do not pass the test. We can only Reject when we pass. |
Your reject the null hypothesis. Did you find significance? | Yes. Rejecting the null ("no") means we found something statistically significant. Yay! |
The process of arranging terms or values based on different variables into "natural" groups | Cluster Analysis |
A local grocer datamines to target customers who use gas points so they can market other products. Which tool is this? | Cluster Analysis |
Best decision based on estimated value | Decision Tree |
Based on the limited storage tanks and pumps, a gas station determines the right "mix" of gasoline and diesel to carry each month. | Linear Programming |
A station decides to set up self-serve vending for beverages. Which tool helps determine when they will begin to profit? | Break Even Analysis |
A station has three vendors with various packages to offer. Which tool would assist in determining the optimal package at the correct "volume"? | Cross-Over Analysis |