Moeng to another question wil save this response uestion 6 2

Moeng to another question wil save this response. uestion 6 2 pointa Consider the following results for two samples randomly taken from two normal populations with equal variances 4 05 a there conckueise enidence that one population ha a larger mear? There is enough evidence that 3ample 1 has a larger mean O There is snough evidenoe that sample 2 has a larger mean o There is not enough evidence that ether one of population has a larger men than the other. there is enough evidance that the mean amoums from the two populations are the sama tion has a larger me than the other 0 There is enough ev idance that the meanamouns O There ia enough evidence that acher one of populist

Solution

H₀: ₁ = ₂
H_a: ₁ 2

s^2 = [ (n1-1)s1^2 + (n2-1)s2^2 ] / n1+n2-2 = 0.99409836
so, s = 0.997044813....

t = ( 55 -44) / [ s * sqrt ( (1/n1)+(1/n2) ) ]

or, t = 43.51317.....with d.f = 28+35 -2 = 61..

critical value for alpha = 0.05 and df = 61 is 1.999624.
so, there is evidence that 1 of the mean is larger than the other ( i.e, they are not same)