Casey Fitch is a student in a statistics class, and he is writing a report. He is investigating whether the mean price for a gallon of regular gasoline at Brand A stations are currently higher than the mean price for a gallon of regular gasoline at Brand Bstations in the region. Casey randomly selects 34Brand Astations and 35 Brand B stations and records the price for a gallon of regular gasoline. The sample mean price for Brand A is $2.836 with a sample standard deviation of $0.083, while Brand B has a sample mean price of $2.798 with a sample standard deviation of $0.049. Let 1 be the population mean price for a gallon of regular gasoline at Brand A, and let 2 be the population mean price for a gallon of regular gasoline at Brand B. Casey usesthe alternative hypothesis Ha:12>0 and assumes the population standard deviations of the two brands are not equal. If the p-value of the hypothesis test isgreater than 0.01 and less than 0.05 andthe significance level is =0.05, what conclusion could be made about thepopulation mean price for a gallon of regular gasoline between the two brands? Identify all of the appropriate conclusions tothe hypothesis test below.

Select all that apply:

Reject the null hypothesis.

Fail to reject the null hypothesis.

The conclusion of the hypothesis test is that there is sufficient evidence tosuggest that thepopulation mean price for a gallon of regular gasoline at Brand Astations is greater than thepopulation mean price for a gallon of regular gasoline at Brand B stations.

The conclusion of the hypothesis test is that there is insufficient evidence tosuggest that thepopulation mean price for a gallon of regular gasoline at Brand Astations is greater than thepopulation mean price for a gallon of regular gasoline at Brand B stations.