Question

According to data on the state of Iowa, the amount of water used for cooking per household per month is normally distributed, with a standard deviation of 10.4 liters. A survey was carried out to estimate the population mean. With a sample size of 60 households, the mean quantity of water used for cooking was found to be 62.6 liters.
There is a 95% chance that the population mean lies between liters and liters.
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Answer 1

There is a 95% chance that the population mean lies between 59.91 liters and 65.29 liters.

Answer 2

There is a 95% chance that the population mean lies between 52.2 liters and 73 liters. This result is obtained by either subtracting the standard deviation from the mean of 62.6 litres or adding it to get the 52.2 or 73 liters.