les of 200 credit card statements, an auditor found the following: sample Number

Question

les of 200 credit card statements, an auditor found the following: sample Number with errors 4 2 5 9 ine the fraction defective in each sample. true fraction defective for this process is unknown, what is your est a. If the b. imate of it? What is your estimate of the mean and standard deviation of the sampling distribution o fractions defective for samples of this size? d. What control limits would give an alpha risk of .03 for this process? e What alpha risk would control limits of.047 and.003 provide? f. Using control limits of.047 and.003, is the process in control? g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are veral o the values of the mean and standard deviation of the sampling distribution? h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using ger do rvices t produc ngle two-sigma control limits. Is the process in control? must be repeated. Using the following sample data and n = 200, determine the upper and lower control limits for the fraction of retests using two-sigma limits. Is the process in control? 6. A medical facility does MRIs for sports injuries. Occasionally a test yields inconclusive results and

Explanation / Answer

An alpha risk of 0.03 infers that there is 0.03/2 = 0.015 in each tail. By using standard normal table for find value of z.

0.5000- 0.0150 = 0.4850

Z = 2.17

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