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. N Variable ctg wt 30 Mean 206.27 Median TrMean 206.00 206.81 StDev 6.35 SEMean 1.16 Variable ctg wt Min 193.00 Max 218.00 Q1 202.75 Q3 212.00 190 200 210 220 Coating weight (a) 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 202 lb per pipe. ○ It appears that the true average weight is approximately 218 lb per pipe. ○ 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 α = 0.05. You can use SALT to answer this question.) State the appropriate hypotheses. OНo: μ # 200 2: μ > 200 Ο Ηγ: μ = 200 Ha: μ # 200 Ο Ηγ: μ = 200 Η : μ < 200 OНo: μ # 200 Ha: μ = 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.) t = P-value = What can you conclude? ○ Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. ◇ Reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. ◇ Reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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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.
N
Variable
ctg wt
30
Mean
206.27
Median
TrMean
206.00
206.81
StDev
6.35
SEMean
1.16
Variable
ctg wt
Min
193.00
Max
218.00
Q1
202.75
Q3
212.00
190
200
210
220
Coating weight
(a) 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 202 lb per pipe.
○ It appears that the true average weight is approximately 218 lb per pipe.
○ 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 α = 0.05. You can use SALT to answer this question.)
State the appropriate hypotheses.
OНo: μ # 200
2: μ > 200
Ο Ηγ: μ = 200
Ha: μ # 200
Ο Ηγ: μ = 200
Η : μ < 200
OНo: μ # 200
Ha: μ = 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.)
t =
P-value =
What can you conclude?
○ Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe.
◇ Reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe.
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe.
◇ Reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe.
Transcribed Image Text: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. N Variable ctg wt 30 Mean 206.27 Median TrMean 206.00 206.81 StDev 6.35 SEMean 1.16 Variable ctg wt Min 193.00 Max 218.00 Q1 202.75 Q3 212.00 190 200 210 220 Coating weight (a) 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 202 lb per pipe. ○ It appears that the true average weight is approximately 218 lb per pipe. ○ 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 α = 0.05. You can use SALT to answer this question.) State the appropriate hypotheses. OНo: μ # 200 2: μ > 200 Ο Ηγ: μ = 200 Ha: μ # 200 Ο Ηγ: μ = 200 Η : μ < 200 OНo: μ # 200 Ha: μ = 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.) t = P-value = What can you conclude? ○ Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. ◇ Reject the null hypothesis. There is sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe. ◇ Reject the null hypothesis. There is not sufficient evidence to conclude that the true average weight differs from 200 lb per pipe.
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