Question

(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of 0.04. Sample 1: ni = 75, I1 = 12, si = 3. Sample 2: n2 = 78, 22 = 11, S2 = 1.5. The test statistic is The P-Value is The conclusion is A. There is not sufficient evidence to warrant rejection of the claim that the two populations have the same mean. . B. There is sufficient evidence to warrant rejection of the claim that the two populations have the same mean.

Answer 1

page-1 Soluation! given that ni = 75 I n2 = 78 The typothesis Hoi x = 12 X 11 si 3 92² 1.5 329 32 = 2.25 elli - cela v Hii wizuz not me known Iwe two Population Sample standaed 4 test because devation. The test statistic!! t = 2 & Se 9 2.25 ni 2 75 78 6.39 ta 2.566 The Critical value we Calculate degree of freedom ( a + 22513 3,2 Inl 75 24 1 2.2512 78 77 nel n2

Page 2 az olem d = 108 / - all : - Xeto.ou two tail Lina 0.02 test tan, P. F = + 2.079 - from t tabre I decision? lottad - if reject to 2.56 2.079 we Reject to - B. There is sufficient evidence to arrand rejection of the claim that the two Populationu have the game mean. PRINT