Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
b. 23.16 and 16.84
Explanation:
Mean (X-bar) = Sum of observations / No of observations
Range (R) = Highest observation - Lowest observation
Machine 1
Mean (X-bar) = (17 + 15 + 15 + 17) / 4
Mean (X-bar) = 16
Range (R) = (17 - 15)
Range (R) = 2
Machine 2
Mean (X-bar) = (16 + 25 + 18 + 25) / 4
Mean (X-bar) = 21
Range (R) = (25 - 16)
Range (R) = 9
Machine 3
Mean (X-bar) = (23 + 24 + 23 + 22) / 4
Mean (X-bar) = 23
Range (R) = (24 - 22)
Range (R) = 2
Mean of means (X-double bar) = Sum of X-bar / Number of samples = (16 + 21 + 23) / 3 = 20
Mean of ranges (R-bar) = Sum of R / Number of samples = (2 + 9 + 2) / 3 = 4.33
From table of constants for calculating the 3-sigma upper and lower control limits, For n = 4, A2 = 0.729
UCL = X-double bar + (A2 x R-bar)
UCL = 20 + (0.729 x 4.33)
UCL = 23.1566
UCL = 23.16
LCL = X-double bar - (A2 x R-bar)
LCL = 20 - (0.729 x 4.33)
LCL = 16.8434
LCL = 16.84
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.