An article in fire technology describes the investigation of two different foam expanding agents that can be used in the nozzle of fire fighting spray equipment. a random sample of five observations with an aqueous film forming foam had a sample mean of 4.340 and a standard deviation of 0.508. a random sample of five observations with alcohol type concentrates had a sample mean of 7.091 and a standard deviation of 0.430. assume that both populations are well represented by normal distribution with the same standard deviations

(a) is there evidence to support the claim that there is no difference in mean foam expansion of these two agents. use a fixed level test with alpha=0.10

(b) calculate the p-value for this test (using alpha = 0.05).