An article descnbed an investigation into the coating weights for large pipes re

Question

An article descnbed 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 fromm Minitab Variable Mean Median rMean StDav SEMean .16 ctg wt 30206.83 206.00 206.81 6.35 Variable Min 01 03 ctg wt 193.00 218.00 202.75 212.00 Max Coating weight 190 200 210 220 (a) what does the boxplot s about the status of the specification for true a coatin It appears that the true average weight could be significantly off from the production specification of 200 lb per pipe. O It appears that the true average weight is approximately 202 b per pipe It appears that the true average weight is not significantly different from the production specification of 200 lb per pipe O It appcars that the true average weight is approximately 218 b per pips (b) A normal probability plot of the data was quite straight. Use the descriptive output to test the appropriate hypotheses. (Use = 0.05.) State the appropriate hypotheses Ho: * 200 Ha: > 200 Ho: -200 Ha

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =1.16

therefore test statistic t=(X-mean)/std error =(206.83-200)/1.16=5.89

for above test statistic and (n-1=29) degree of freedom ; p value =0.000

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