Eric Kannengieszer and Colin Buckley
Our objective was to run a series of tests involving gas prices Exxon vs. Lukoil Pennsylvania vs. New Jersey Exxon PA vs. Exxon NJ Lukoil PA vs. Lukoil NJ Wanted to determine what station was cheapest
We Google Maps searched PA and NJ Exxon and Lukoil stations and randomly selected 10 of each. We numbered each location and used our calculator to randomly select the stations We picked four days from our break and called each location to record the prices
Ho: µ E =µ L Ha: µ E ≠µ L Conditions: 1. 2 Independent SRS1. yes, performed 2 SRS 2. pop1≥10n2. more than 800 Lukoil’s/Exxon’s pop2≥10n 3. 2 normal populations3. histograms shows normal populations Conditions met →Use students t distribution →2 sample t-test
We reject the Ho because the p-value is smaller than alpha.05. We have sufficient that the average price of Exxon gas is not equal to the average price of Lukoil gas.
Ho: µ NJ =µ PA Ha: µ NJ <µ PA Conditions: 1. 2 Independent SRS1. yes, performed 2 SRS 2. pop1≥10n2. more than 800 Lukoil’s/Exxon’s pop2≥10n 3. 2 normal populations3. histograms shows normal populations Conditions met →Use students t distribution →2 sample t-test VS.
We reject the Ho because the p-value is smaller than alpha.05. We have sufficient that the mean price of New Jersey is less than the mean price of Pennsylvania.
Ho: µ NJ =µ PA Ha: µ NJ <µ PA Conditions: 1. 2 Independent SRS1. yes, performed 2 SRS 2. pop1≥10n2. more than 400 Exxon’s pop2≥10n 3. 2 normal populations3. histograms shows normal populations Conditions met →Use students t distribution →2 sample t-test
We reject the Ho because the p-value is smaller than alpha.05. We have sufficient evidence that the mean price of Exxon’s in NJ is less than that of Exxon’s in PA.
Ho: µ NJ =µ PA Ha: µ NJ <µ PA Conditions: 1. 2 Independent SRS1. yes, performed 2 SRS 2. pop1≥10n2. more than 400 Lukoil’s pop2≥10n 3. 2 normal populations3. histograms shows normal populations Conditions met →Use students t distribution →2 sample t-test
We reject the Ho because the p-value is smaller than alpha.05. We have sufficient evidence that the mean price of Lukoil’s in NJ is less than that of Lukoil’s in PA.
Miscommunication over the phone Individual stores within the chain have the same price
New Jersey gas is substantially cheaper than Pennsylvania gas Exxon has a wider range of price, but Lukoil has a lower mean price overall NJ Lukoil’s is the cheapest If you want gas, go to New Jersey and find a Lukoil