You may need to use the appropriate appendix table or technology to answer this question. Product filling weights are normally distributed with a mean of 450 grams and a standard deviation of 30 grams. a, What happens when a Type II error is made? - The process will be declared in control and allowed to continue when the process is actually out of control. - The process will be declared out of control and adjusted when the process is actually in control. b, - What is the probability of a Type I error for a sample of size 10? (Round your answer to four decimal places.) - What is the probability of a Type I error for a sample of size 20? (Round your answer to four decimal places.) - What is the probability of a Type I error for a sample of size 30? (Round your answer to four decimal places.) c, What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased? - Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error. - Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error. - Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error. - Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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11b.

You may need to use the appropriate appendix table or technology to answer this question.

Product filling weights are normally distributed with a mean of 450 grams and a standard deviation of 30 grams.

a, What happens when a Type II error is made?

- The process will be declared in control and allowed to continue when the process is actually out of control.

- The process will be declared out of control and adjusted when the process is actually in control.

- What is the probability of a Type I error for a sample of size 10? (Round your answer to four decimal places.)

- What is the probability of a Type I error for a sample of size 20? (Round your answer to four decimal places.)

- What is the probability of a Type I error for a sample of size 30? (Round your answer to four decimal places.)

c, What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased?

- Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

- Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error. - Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error.

- Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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