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An article described an investigation into the coating weights for large pipes resulting from a galvanized coating process. Production standards call for a true average weight of 200 lb per pipe. The accompanying descriptive summary and boxplot are from Minitab. Variable Mean Median TrMean StDev SEMean ctg wt 30 206.15 206.00 206.81 6.35 1.16 Variable Min Max Q1 Q3 etg wt 193.00 218.00 202.75 212.00 Coating weight 190 200 210 220 (a) What does the boxplot suggest about the status of the specification for true average coating weight? O It appears that the true average weight could be significantly off from the production specification of 200 Ib per pipe. O It appears that the true average weight is approximately 218 Ib per pipe. O It appears that the true average weight is approximately 202 Ib per pipe. O It appears that the true average weight is not significantly different from the production specification of 200 lb per pipe. (b) A normal probability plot of the data was quite straight. Use the descriptive output to test the appropriate hypotheses. (Use a = 0.05. You can use SALT to answer this question.) State the appropriate hypotheses. O Hoi H - 200 HgiH < 200 O Ho: H = 200 H:H 200 O Ho: H= 200 H: H > 200 Ο Hg μ 200 HH = 200 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) %3D P-value - What can you conclude? O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 Ib per pipe. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 Ib per pipe.

An article described an investigation into the coating weights for large pipes resulting from a galvanized coating process. Production standards call for a true average weight of 200 lb per pipe. The accompanying descriptive summary and boxplot are from Minitab. Variable Mean Median TrMean StDev SEMean ctg wt 30 206.15 206.00 206.81 6.35 1.16 Variable Min Max Q1 Q3 etg wt 193.00 218.00 202.75 212.00 Coating weight 190 200 210 220 (a) What does the boxplot suggest about the status of the specification for true average coating weight? O It appears that the true average weight could be significantly off from the production specification of 200 Ib per pipe. O It appears that the true average weight is approximately 218 Ib per pipe. O It appears that the true average weight is approximately 202 Ib per pipe. O It appears that the true average weight is not significantly different from the production specification of 200 lb per pipe. (b) A normal probability plot of the data was quite straight. Use the descriptive output to test the appropriate hypotheses. (Use a = 0.05. You can use SALT to answer this question.) State the appropriate hypotheses. O Hoi H - 200 HgiH < 200 O Ho: H = 200 H:H 200 O Ho: H= 200 H: H > 200 Ο Hg μ 200 HH = 200 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) %3D P-value - What can you conclude? O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 Ib per pipe. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 Ib per pipe.

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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### Investigation into Coating Weights for Large Pipes An article described an investigation into the coating weights for large pipes resulting from a galvanized coating process. Production standards call for a true average weight of 200 lb per pipe. The accompanying descriptive summary and boxplot are from Minitab. #### Descriptive Statistics - **Variable**: Coating Weight (ctg wt) - **Sample Size (N)**: 30 - **Mean**: 206.15 - **Median**: 206.00 - **Trimmed Mean**: 206.81 - **Standard Deviation (StDev)**: 6.35 - **Standard Error of Mean (SE Mean)**: 1.16 #### Boxplot Summary - **Minimum**: 193.00 - **Maximum**: 218.00 - **First Quartile (Q1)**: 202.75 - **Third Quartile (Q3)**: 212.00 The boxplot shows the distribution of the coating weights from 190 to 220, with the central box spanning from approximately 202.75 to 212, indicating the interquartile range (IQR). The median (206) is slightly above the production specification of 200 lb per pipe. #### Questions and Analysis (a) **Boxplot Analysis** What does the boxplot suggest about the status of the specification for true average coating weight? - ○ It appears that the true average weight could be significantly off from the production specification of 200 lb per pipe. - ○ It appears that the true average weight is approximately 211 lb per pipe. - ○ It appears that the true average weight is approximately 202 lb per pipe. - ○ It appears that the true average weight is not significantly different from the production specification of 200 lb per pipe. (b) **Hypothesis Testing** A normal probability plot of the data was quite straight. Use the descriptive output to test the appropriate hypotheses. (Use α = 0.05. You can use SALT to answer this question.) State the appropriate hypotheses: - ○ \( H_0: \mu = 200 \) \( H_a: \mu < 200 \) - ○ \( H_0: \mu = 200 \) \( H_a: \mu \neq 200 \) - ○ \( H_0: \mu = 200 \) \( H_a
Transcribed Image Text:### Investigation into Coating Weights for Large Pipes An article described an investigation into the coating weights for large pipes resulting from a galvanized coating process. Production standards call for a true average weight of 200 lb per pipe. The accompanying descriptive summary and boxplot are from Minitab. #### Descriptive Statistics - **Variable**: Coating Weight (ctg wt) - **Sample Size (N)**: 30 - **Mean**: 206.15 - **Median**: 206.00 - **Trimmed Mean**: 206.81 - **Standard Deviation (StDev)**: 6.35 - **Standard Error of Mean (SE Mean)**: 1.16 #### Boxplot Summary - **Minimum**: 193.00 - **Maximum**: 218.00 - **First Quartile (Q1)**: 202.75 - **Third Quartile (Q3)**: 212.00 The boxplot shows the distribution of the coating weights from 190 to 220, with the central box spanning from approximately 202.75 to 212, indicating the interquartile range (IQR). The median (206) is slightly above the production specification of 200 lb per pipe. #### Questions and Analysis (a) **Boxplot Analysis** What does the boxplot suggest about the status of the specification for true average coating weight? - ○ It appears that the true average weight could be significantly off from the production specification of 200 lb per pipe. - ○ It appears that the true average weight is approximately 211 lb per pipe. - ○ It appears that the true average weight is approximately 202 lb per pipe. - ○ It appears that the true average weight is not significantly different from the production specification of 200 lb per pipe. (b) **Hypothesis Testing** A normal probability plot of the data was quite straight. Use the descriptive output to test the appropriate hypotheses. (Use α = 0.05. You can use SALT to answer this question.) State the appropriate hypotheses: - ○ \( H_0: \mu = 200 \) \( H_a: \mu < 200 \) - ○ \( H_0: \mu = 200 \) \( H_a: \mu \neq 200 \) - ○ \( H_0: \mu = 200 \) \( H_a
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