Casey fitch is writing a report for a statistics class. he is investigating whether the mean price for a gallon of regular gasoline at stations of brand a are currently higher than the mean price for a gallon of regular gasoline at stations of brand b in the region. casey randomly selects 37 service stations of brand a and 35 service stations of brand b 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 standard deviation of $0.049. let μ1 be the population mean price for a gallon of regular gasoline at brand a and μ2 be the population mean price for a gallon of regular gasoline at brand b. casey uses the alternative hypothesis ha: μ1−μ2> 0. he assumes that the population standard deviations of the two groups are not equal, so uses 34 degrees of freedom. if the t-test statistic is t≈2.38, what is the p-value for this hypothesis test?