Diketahui \(\bar{X}_{1}=110\text{,}4\), \(n_{1}=7\), \( s_{1}=10\text{,}81\), \(\bar{X}_{2}=97\text{,}86\), \(s_{2}=8\text{,}45\), \(n_{2}=7\).
A. Hipotesis
\[\begin{aligned}H_{0}:\mu_{1}=\mu_{2}\\ H_{1}:\mu_{1}<\mu_{2}\end{aligned}\]
Statistik uji :
\[\begin{aligned}t&=\frac{\bar{X}_{1}-\bar{X}_{2}}{Sp\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}\\&=2\text{,}418\end{aligned}\]
Rumus sp
\[\begin{aligned}sp^{2}&=\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{2}+n_{2}-2}\\&=9\text{,}7\end{aligned}\]
\[\begin{aligned}df&=n_{1}+n_{2}-2\\&=12\end{aligned}\]
Diperoleh \(t_{tabel}\) = 1,7823
Kesimpulan
\(t _{hitung} < t _{tabel} \)maka tolak \(H_{0}\)
Jadi terdapat perbedaan yang signifikan antara IQ siswa sekolah negeri dengan IQ siswa sekolah swasta
