Assume that you have a sample of n₁= 7, with the sample mean x₁= 45, and a sample standard deviation of Upper S_{1 =}5, and you have an independent sample of n₂=4 from another population with a sample mean of Upper x₂= 38 and the sample standard deviation Upper S₂= 6. Assuming the population variances areequal, at the 0.01 level ofsignificance, is there evidence that 1>2?

Find thep-value.

p-value=

(Round to three decimal places asneeded.)