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A random sample of 16 mid-sized cars tested for fuel consumptiongave a mean of 26.4 kilometres per liter with a standard deviation of2.3 kilometers per liter.i) Assuming that the kilometers per liter given by all mid-sized carshave a normal distribution, find a 99% confidence interval for thepopulation mean ?.ii) Suppose the confidence interval obtained in (b)(i) is too wide. Howcan the width of this interval be reduced? Describe all possiblealternatives. Which alternative is the best and why?(3+3=6 marks)