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5. A manufacturing company produces metal pipes with a desired width of 2.5 cm. Due to machine error, the pipes vary somewhat from this target. The company takes a sample of 100 pipes produced. The observed mean pipe width was approximately 2.502 and the sample standard deviation was 0.00932. The company also determined that the cutoff measurement for the widest 2.5% of pipes that were observed is 2.519. a. The research department of the company believes that the width of the pipes is normally distributed, with a mean of 2.5 cm and a standard deviation of 0.01. If that is the case, what should the cutoff be for the widest 2.5% of pipes be? b. Using any of the information above, do you think the research department's beliefs about the distribution of the tube widths are plausible? Explain your reasoning. (Hint: How do the observed mean, standard deviation, and percentile cutoffs compare to the research's teams baseline assumptions?)

5. A manufacturing company produces metal pipes with a desired width of 2.5 cm. Due to machine error, the pipes vary somewhat from this target. The company takes a sample of 100 pipes produced. The observed mean pipe width was approximately 2.502 and the sample standard deviation was 0.00932. The company also determined that the cutoff measurement for the widest 2.5% of pipes that were observed is 2.519. a. The research department of the company believes that the width of the pipes is normally distributed, with a mean of 2.5 cm and a standard deviation of 0.01. If that is the case, what should the cutoff be for the widest 2.5% of pipes be? b. Using any of the information above, do you think the research department's beliefs about the distribution of the tube widths are plausible? Explain your reasoning. (Hint: How do the observed mean, standard deviation, and percentile cutoffs compare to the research's teams baseline assumptions?)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. A manufacturing company produces metal pipes with a desired width of 2.5 cm. Due to machine error, the pipes vary somewhat from this target. The company takes a sample of 100 pipes produced. The observed mean pipe width was approximately 2.502 and the sample standard deviation was 0.00932. The company also determined that the cutoff measurement for the widest 2.5% of pipes that were observed is 2.519. a. The research department of the company believes that the width of the pipes is normally distributed, with a mean of 2.5 cm and a standard deviation of 0.01. If that is the case, what should the cutoff be for the widest 2.5% of pipes be? b. Using any of the information above, do you think the research department's beliefs about the distribution of the tube widths are plausible? Explain your reasoning. (Hint: How do the observed mean, standard deviation, and percentile cutoffs compare to the research's teams baseline assumptions?)
Transcribed Image Text:5. A manufacturing company produces metal pipes with a desired width of 2.5 cm. Due to machine error, the pipes vary somewhat from this target. The company takes a sample of 100 pipes produced. The observed mean pipe width was approximately 2.502 and the sample standard deviation was 0.00932. The company also determined that the cutoff measurement for the widest 2.5% of pipes that were observed is 2.519. a. The research department of the company believes that the width of the pipes is normally distributed, with a mean of 2.5 cm and a standard deviation of 0.01. If that is the case, what should the cutoff be for the widest 2.5% of pipes be? b. Using any of the information above, do you think the research department's beliefs about the distribution of the tube widths are plausible? Explain your reasoning. (Hint: How do the observed mean, standard deviation, and percentile cutoffs compare to the research's teams baseline assumptions?)
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