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Suppose that Syd Water monitors water usage in a suburb and finds that for one summer the average household usage is 408 litres per day. A year later it examines records of a sample of 50 households and finds that there is a daily mean usage of 380 litres with a standard deviation of 25 litres.

1. Construct a 95% confidence interval for the population mean daily water usage in the second summer. Assume the population usage is normally distributed.

2. Interpret the interval constructed in (the question above).

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