Question

# A random sample of 500 connecting rod pins contains 59 nonconforming units. Estimate the process fraction

nonconforming.

(a) Test the hypothesis that the true fraction defective in this process is 0.08. Use alpha = 0.03. (b) Construct a 97% upper confidence interval on the true process fraction nonconforming.

A random sample of 200 printed circuit boards contains 18 defective or nonconforming units. Estimate the process fraction nonconforming. Test the hypothesis that the true fraction nonconforming in this process is 0.10. Use alpha = 0.10. Construct a 90% two-sided confidence interval on the true fraction nonconforming in the production process.

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A random sample of 25 rods has an average diameter of 0.5046 in.

(a) Test the hypothesis that mean rod diameter is 0.5025 in. Assume a two-sided alternative and use alpha = 0.05.

Construct a 95% two-sided confidence interval on the mean rod diameter

Please answer the above questions and give explanation and also draw a graph for each question whether it is rejected or accepted the null hypothesis . so, that I learn from your knowledge. please, post a correct answer without including wrong data. Thank You!

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