Question: do all questions pls 1. A normally distributed process has specifications of LSL=65 and USL=70 on the output. A random sample of 25 parts indicates

do all questions pls

1. A normally distributed process has specifications of LSL=65 and USL=70 on the output. A random sample of 25 parts indicates that the process is centered at the middle of the specification band and the standard deviation is s=1.8. (a) Find a point estimate of Cp and its estimated defective rate. (b) Find a 95% confidence interval on Cp. Comment on the width of this interval. (c) Assume that the process mean is shifted to 68 , find a point estimate of Cpk and its estimated defective rate. (d) Find a 95% confidence interval on Cpk. Comment on the width of this interval. 2. A company has been asked by an important customer to demonstrate that its process capability ratio Cp exceeds 1.33 . It has taken a sample of 25 parts and obtained the point estimate C^p= 1.42. Assume that the quality characteristic follows a normal distribution. Can the company demonstrate that Cp exceeds 1.33 at the 95% level of confidence

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