3.
Group Statistics 

newengland 
N 
Mean 
Std. Deviation 
Std. Error Mean 

HIGHEST YEAR OF SCHOOL COMPLETED 
.00 
1937 
13.38 
3.073 
.070 
1.00 
81 
14.72 
2.955 
.328 
a) Conduct an independent samples ttest for these means
Answer)
As the sample sizes are extremely large, we can use standard normal z table to estimate the answer.
Null hypothesis Ho : u1 = u2
Alternate hypothesis Ha : u1 not equal to u2
Test statistics z = (x1x2)/standard error
Standard error = √{(s1^2/n1)+(s2^2/n2)}
X1 = 13.38, X2 = 14.72
N1 = 1937, N2 = 81
S1 = 3.073, S2 = 2.955
After substitution,=
Z = 3.99
From z table, P(z<3.99) = 0
As the test is two tailed,
Pvalue is = 2*0 = 0
As the obtained, pvalue is < 0.05.
We reject the null hypothesis Ho.
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