Google’s driverless car is an extreme example of the complexity Google’s driverl

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Google’s driverless car is an extreme example of the complexity Google’s driverless car is an extreme example of the complexity Google’s driverless car is an extreme example of the complexity

for this problem. Refer to Thirty-five samples of size 7 each were taken from a fertilizer-bag-filing machine. The results were: Overall mean a) For the given sample size, the control limits for 3-sigma x chart are 57.75 b.; Average range R 1.78 lb. Upper Control Limit (UCL?)-lb. (ound your response to three decimal places). 0 Definition Lower Control Limit (LCL?)- t. (round your response to three deornal places. Sample Size, n Lower Range, D. b) The control limits for the 3-sigma R-chart are: Mean Factor, Upper Range, Upper Control Limit (UCIR)b. (round your response to three decimal places) 1.880 .023 0.729 0577 0.483 0.419 0.373 0.337 0.308 0.266 3 268 2.574 2.282 2.115 2004 .924 .864 1.816 Lower Control Limit (LCLRb (round your response to three decimal places). 0076 0.136 0.184 0.223 0.284 10 12 1.716 Print Done

Explanation / Answer

Answer:

The given data for the problem are as below

The overall mean and average range are given as below

(a ) UCL and LCL for mean can be calculated with the below formula as

UCL (mean) = Average of Mean + A2 * Average of Range

UCL (mean) = 57.75 + 0.419 * 1.78 = 58.496

LCL (mean) = Average of Mean - A2 * Average of Range

LCL (mean) = 57.75 + 0.419 * 1.78 = 57.004

Answer (b)

The value of D3 and D4 from the 3 sigma table with n=7 are as below

UCL and LCL for range can be calculated with the below formula as

UCL (range) = D4* Average of Range

UCL (range) = 1. 924*1.78 =3.425

LCL (range) = D3* Average of Range

UCL (range) = 0.076*1.78 =0.135

Answers are as below

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