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The manager of an auto repair shop has collected data on the time to do a...

The manager of an auto repair shop has collected data on the time to do a standard repair on the 2003 model of a Honda Civic.  From the sample of 40, the mean time do the repair was 122.4 minutes; the standard deviation 16.7 minutes.

(a) Calculate a 95% confidence interval for the mean time to do the repair.

(b) The quoted time for the repair is given by Honda Canada as 128 minutes (based on data from the 2001 model).  Is the time for the repair significantly less for the 2003 model?  Formally set up the appropriate hypotheses and test at a 5% significance level.

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