SOLUTION: A local bus services company wants to estimate the average amount of fuel used to travel between Lusaka and Solwezi. A sample of 50 trips was taken and the sample mean amount of w

Question 1076071: A local bus services company wants to estimate the average amount of fuel used to travel between Lusaka and Solwezi. A sample of 50 trips was taken and the sample mean amount of was 500 litres. If the population standard deviation is 200 litres construct the 95% confidence interval within which the population mean amount must lie.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The standard error is sigma/sqrt(n)=200/sqrt(50)=28.3 l
The 95% CI is mean +/- 1.96*SE; we don't use the t here, because we are given the sd of the population.
That is mean +/- (1.96*28.3)=500+/-55.4 liters or (444.6, 555.4)
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