Aluminum contamination in the manufacture of polyethylene teraphthalate (a biomedical polymer) is limited to an average of   220 ppm (parts per million). Below are 26 samples collected from manufacture lots and the amount of aluminum contamination measured.       Aluminum contamination in ppm:   291, 222, 125, 79, 145, 119, 244, 118, 182, 63, 30, 140, 101, 102, 87, 183, 60, 191, 119, 311, 120, 172, 70, 30, 90, 115   Perform a t-test to determine if test samples have Al contamination less than 220 ppm at the α = 0.05 level of significance.     a. State your H0 and Ha and if this is 1-tailed or 2-tailed   b. Check the assumption that the data are normally distributed (show appropriate plots and discuss CLT rules)   c. State your p-value from your t-test and your conclusion   d. Calculate 95% confidence interval and state conclusion this time based on confidence interval

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Aluminum contamination in the manufacture of polyethylene teraphthalate (a biomedical polymer) is limited to an average of  
220 ppm (parts per million). Below are 26 samples collected from manufacture lots and the amount of aluminum contamination measured.  
   
Aluminum contamination in ppm:  
291, 222, 125, 79, 145, 119, 244, 118, 182, 63, 30, 140, 101, 102, 87, 183, 60, 191, 119, 311, 120, 172, 70, 30, 90, 115  
Perform a t-test to determine if test samples have Al contamination less than 220 ppm at the α = 0.05 level of significance.  
  a. State your H0 and Ha and if this is 1-tailed or 2-tailed
  b. Check the assumption that the data are normally distributed (show appropriate plots and discuss CLT rules)
  c. State your p-value from your t-test and your conclusion
  d. Calculate 95% confidence interval and state conclusion this time based on confidence interval
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