Determine the probability of the t test result in A B and d

Determine the probability of the t test result in A & B and decide whether you would accept of reject the hypothesis of no difference between the two groups in each case.

lqu.i s2e samples and make the appro t tests. a. Group 1: x-25, s2 = 27.8, n = 30; Group 2: x = 23, s2 = 27.8, n = 15. b. Group 1 : X = 25, s. 27.8, n-30; Group 2: x-29, s. 27.8, n-15.

Solution

H0: mu1 = mu2

Ha: mu2 not equal to mu2

Two tailed test

a) First let us compare groups in a.

The mean of Group One minus Group Two equals 2.000

t = 0.0454
  df = 43
  standard error of difference = 44.058

p value = 0.9640

As p >0.05 accept null hypothesis that the two groups hae the same mean.

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The mean of Group One minus Group Two equals -4.000

standard error of difference = 44.058

t = 0.0908
  df = 43

P value equals 0.9281

As p >0.05 accept two groups have the same mean.

Group	Group One	Group Two
Mean	25.000	23.000
SD	152.267	107.669
SEM	27.800	27.800
N	30	15