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1.A particular brand of petrol was used in 80 randomly chosen cars of the same model and age. The petrol consumption, x miles per gallon,

1.A particular brand of petrol was used in 80 randomly chosen cars of the same model and age. The petrol consumption, x miles per gallon, was obtained for each car. The results are summarized by

x=1896 and x2=45959.

a. Calculate a 99% confidence interval for the mean petrol consumption of all cars of this model and age.

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