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NO Excel. Please show all steps. May the ratings be ever in your favor.Thank you. 61,...

NO Excel. Please show all steps. May the ratings be ever in your favor.Thank you.

61, 52, 59, 57, 56, 56, 58, 55, 56, 60, 57, 58, 53, 57, 56, 55, 57, 61, 58, 59, 56, 59, 57, 54, 54

Mean = 56.84 , Variance = 5.094 , Standard Deviation = 2.257 , Range = 9 , Median = 57

Use this dataset, answer the following questions. Enter the number with at least 3 decimal places.

1. Suppose the upper specification limit of the dimension should be 60. How many sigma is the upper specification limit away from its mean?

2. Suppose the measurements are normally distributed. Estimate the defect rate using the mean and standard deviation.

3. m = 58 and specification limits are 54 and 62. Determine Cp and Cpk.

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Answer #1

1)

z =(X - mean)/sd = (60 - 56.84)/2.257

= 1.4

upper specification limit is 1.4 sigma above from its mean

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