Assume that you have a sample of n 1 equals 8n1=8, with the sample mean upper x overbar 1 equals 42x1=42, and a sample standard deviation of upper s 1 equals 4s1=4, and you have an independent sample of n 2 equals 15n2=15 from another population with a sample mean of upper x overbar 2 equals 34x2=34 and a sample standard deviation of upper s 2 equals 5s2=5.
what assumptions about the two populations are necessary in order to perform thepooled-variance t test for the hypothesis upper h 0 : μ 1 equals μ 2h0: μ1=μ2 against the alternative upper h 1 : μ 1 > μ 2h1: μ1> μ2 and make a statistical decision?