The American Water Works Association reports that, On average, water use in households is more than 10 gallons per day. But under the conditions of pandemic like this is suspected to be a change to water consumption in households. A researcher surveyed and sampled 12 household heads and was asked about the use of gallon water. As for the data obtained are as follows 51, 8, 13, 17, 13, 15, 12, 13, 15, 16, 9, 7. If it is known that the data is distributed normal. Use a significance level of 5% test whether the average household water use is increasing (greater than 10 gallons)? What will happen if water use in these households increases 5% from before?

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The American Water Works Association reports that, On average,
water use in households is more than 10 gallons per day. But under the conditions of pandemic like this is suspected to be a change to water consumption in households.
A researcher surveyed and sampled 12 household heads and was asked about the use of gallon water. As for the data obtained are as follows 51, 8, 13, 17, 13, 15, 12, 13, 15, 16, 9, 7. If it is known that the data is distributed normal. Use a significance level of 5% test whether the average household water use is increasing (greater than 10 gallons)? What will happen if water use in these households increases 5% from before?

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