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Mathematics / Statistics

please answer teh following and attached , each in separate files 

 

A company running an urban rail service wishes to estimate its daily average number of late-running trains on weekdays. For 10 randomly selected weekdays, it finds the following numbers of late running trains:

32, 10, 9, 18, 25, 15, 14, 18, 22, 16

  1. a)  Assuming the number of late running trains on a weekday is approximately normally distributed, calculate a 90% confidence interval for the mean number of late-running trains on a weekday.
  2. b)  If we did not have the assumption of normality, could we still calculate a confidence interval in this example? If not, suggest a way of overcoming this problem.

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