A study reports that the mean daily water consumption per household in a certain city is $245$ liters, with a standard deviation of $38$ liters. Suppose random samples of $64$ households are selected, and the mean daily water consumption for each sample is calculated. What are the mean and standard deviation of the sampling distribution of sample means?

• A. ${\mu }_{\bar{x}}=245$ liters${\sigma }_{\bar{x}}\approx 4.8$ liters
• B. ${\mu }_{\bar{x}}=245$ liters${\sigma }_{\bar{x}}\approx 0.6$ liters
• C. ${\mu }_{\bar{x}}=265$ liters${\sigma }_{\bar{x}}\approx 4.8$ liters
• D. ${\mu }_{\bar{x}}=265$ liters${\sigma }_{\bar{x}}\approx 0.6$ liters

Answer: (A)