A researcher wishes to estimate the proportion of fish in a certain lake that is inedible due to pollution of the lake. How large a sample should be tested in order to be 99% confident that the true proportion of inedible fish is estimated to within 8%?

Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whe the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 4 1 0.602 0.601 0.604 0.594 2 0.588 0.581 0.612 0.573 0.588 0.571 0.578 0.574 4 0.582 0.612 0.603 0.582 5 0.596 0.602 0.597 0.609 6 0.583 0.602 0.615 0.579 Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Suppose that the specification for the bottle neck diameter is 0.600 ± 0.050 in. and the population standard deviation i 0.012 in. a. What is the process capability index? The Cok is 1.19. (Enter your response rounded to two decimal places.) b. The process capability ratio? The Cp is (Enter your response rounded to two decimal places.)

Suppose that a quality characteristic is normally distributed with specifications at 100 ± 20. The process standard deviation is 6.(a) Suppose that the process mean is 100. What are the natural tolerance limits? Calculate Cp and Cpk and interpret these ratios. What fraction of parts do you expect to be defective?(b) Suppose that the process mean is 106. What are the natural tolerance limits? What is thefraction defective? Calculate Cp and Cpk and interpret these ratios.

What were the market conditions prior to MercadoLibre.com's launch? Were there ideal conditions for the company? Why or why not?

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 438.0 gram setting. It is believed that the machine is underfilling the bags. A 46 bag sample had a mean of 436.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the variance is known to be 400.00. Enter the decision rule.

BlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)

A manufacturing company produces steel rods. The length of these rods is critical to their customers. The company aims to manufacture rods with a mean length of 150 cm. However, due to variability in the manufacturing process, the lengths of the rods follow a normal distribution. The company's quality control department samples 30 rods and finds that they have a mean length of 151 cm and a standard deviation of 2 cm. Calculate the Process Capability Index (Cp) and the Process Performance Index (Ppk) for this process. Assume the customer's specification limits are 147 cm and 153 cm for the length of the rods.

What is the meaning of x ̅ ~ N (50, 2)?   1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2   2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50   3. x is normally distributed with a mean of 50 and a standard deviation of 2   4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50

How is a process operating in statistical control distinguished from one that is not

What is the meaning of x ~ N (50, 20)?   1. Sampling distribution of x is distributed with a mean of 20 and a standard deviation of 50   2. x-bar is normally distributed with a mean of 20 and a standard deviation of 50   3. x is normally distributed with a mean of 50 and a standard deviation of 20   4. Sampling distribution of x is distributed with a mean of  50 and a standard deviation of 20