Question: Recall the breath analyzers described in Example 4.3.6. The following are 30 blood alcohol determinations made by Analyzer GTE-10, a three-year-old unit that may be in need of recalibration. All 30 measurements were made using a test sample on which a properly adjusted machine would give a reading of 12.6%.

1. If \(\mu \) denotes the true average reading that Analyzer GTE-10 would make on a person whose blood alcohol concentration is 12.6%, test
   Ho: \(\mu \) = 12.6
   versus
   H1: \(\mu \) \(\ne \) 12.6
   at the a = 0.05 level of significance. Assume that \(\sigma \) = 0.4. Would you recommend that the machine be readjusted?
   (b) What statistical assumptions are implicit in the hypothesis test done in Part (a)?
   Is there any reason to suspect that those assumptions may not be satisfied?
   
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