leah\'s toys produced molded plastic baby rattles. these rattles must be complet

Question

leah's toys produced molded plastic baby rattles. these rattles must be completely smooth. that is, there can be no rough edges where the molded halves fit together . rattles are judged to be either acceptable or defective with regard with regard to this requirement. Leash has determined that the current process has an underlying P value of 0.01, meaning that on average, 1 out of 100 rattles is currently the standard deviation for the process and resulting control limits for sample of 200 rattles each.

Explanation / Answer

p = 0.01

n = 200

standard deviation (s) = sqrt(p*(1-p)/n) = sqrt(0.01*(1-0.01)/200) = 0.007

Let z = 3 for 3 sigma process

UCL = p + z*s = 0.01 + 3*0.007 = 0.031

LCL = p - z*s = 0.01 - 3*0.007 = -0.011. Hence, 0 (as it cannot be negative)

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