Problem 10-1 Specifications for a part for a DVD player state that the part shou

Question

Problem 10-1 Specifications for a part for a DVD player state that the part should weigh between 24.4 and 25.4 ounces. The process that produces the parts has a mean of 24.9 ounces and a standard deviation of .24 ounce. The distribution of output is normal. Use Table-A. a.What percentage of parts will not meet the weight specs? (Round your "z" value and final answer to 2 decimal places. Omit the "%" sign in your response.) Percentage of parts % b.Within what values will 95.44 percent of sample means of this process fall, if samples of n 7 are taken and the process is in control (random)? (Round your answers to 2 decimal places.) Lower value , Upper value

Explanation / Answer

PLEASE FIND BELOW ANSWER TO PROBLEM 10- 7 :

We will use a C Chart to determine number of conformities.

Total number of complaints

= 4 + 10 + 14 + 8 + 9 + 6 + 5 + 13 + 13 + 7 + 6 + 4 + 2 + 9

= 110

Average number of complaints

= Cbar

= 110/14

= 7.857

Upper Control Limit ( UCL )

= Cbar + 3 x Square root ( Cbar)

= 7.857 + 3 x square root ( 7.857)

= 7.857 + 3 x 2.803

= 7.857 + 8.409

= 16.266

Lower control Limit ( LCL )

= Maximum ( 0, Cbar – 3 x Square root( Cbar))

= Maximum ( 0 , 7.857 – 8.409)

= Maximum ( 0, - 0.552)

= 0

UCL = 16.266

LCL = 0

UCL = 16.266

LCL = 0

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