Answer:
The answer is "0.3605".
Step-by-step explanation:
Through 8 welds, every welder have 125 measurements, that overall amount of measurements.
N= 125(8) = 1000
The 96 percent level of trust
[tex]Z_{\frac{\alpha}{2}} =2.05\\\\\hat{\sigma}_{p} = \sqrt{\frac{0.33 (0.67)}{1000}}\\\\[/tex]
[tex]=\sqrt{ \frac{0.2211}{1000}}\\\\=\sqrt{0.0002211}\\\\=0.01487[/tex]
[tex]\hat{P_2} - Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 -2.05 (0.01487)\\\\[/tex]
[tex]= 0.33-0.0305\\\\=0.2995[/tex]
[tex]\hat{P_2} + Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 +2.05 (0.01487)[/tex]
[tex]= 0.33+0.0305\\\\=0.3605[/tex]
