Question

4. a) Three parts are assembled in series so that their critical dimensions $x_1$, $x_2$ and $x_3$ add. The dimensions of each part are normally distributed with the following parameters: $\mu_1$ = 55, $\sigma_1$ = 2, $\mu_2$ = 65, $\sigma_2$ = 3 and $\mu_3$ = 92, $\sigma_3$ = 3. If the assembly specification is 215 ± 15, determine $C_p$ and $C_{pk}$. Assess whether the process is capable. What percentage of product will fall outside specification? b) Two parts are assembled as shown. The distributions of $x_1$ and $x_2$ are normally distributed with $\mu_1$ = 55mm and $\mu_2$ = 54mm, and $\sigma_1$ = 0.3mm and $\sigma_2$ = 0.2mm. The specification of the clearance between the moving parts is 0.9mm ± 0.5mm. What fraction of the assemblies will fail to meet the specifications if assembly is at random? $x_1$ $x_2$

          4.
a) Three parts are assembled in series so that their critical dimensions $x_1$, $x_2$ and $x_3$ add.
The dimensions of each part are normally distributed with the following parameters: $\mu_1$
= 55, $\sigma_1$ = 2, $\mu_2$ = 65, $\sigma_2$ = 3 and $\mu_3$ = 92, $\sigma_3$ = 3. If the assembly specification is 215
± 15, determine $C_p$ and $C_{pk}$. Assess whether the process is capable. What percentage
of product will fall outside specification?
b) Two parts are assembled as shown. The distributions of $x_1$ and $x_2$ are normally
distributed with $\mu_1$ = 55mm and $\mu_2$ = 54mm, and $\sigma_1$ = 0.3mm and $\sigma_2$ = 0.2mm. The
specification of the clearance between the moving parts is 0.9mm ± 0.5mm. What
fraction of the assemblies will fail to meet the specifications if assembly is at random?
$x_1$
$x_2$

4 a three parts are assembled in series so that their critical dimensions x1 x2 and x3 add the dimensions of each part are normally distributed with the following parameters mu1 55 sigma 96806

Added by Sandra B.

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