The mean daily temperature in Helsinki during winter months has a mean of ${2.8}^{\circ }\text{C}$ and a standard deviation of ${5.7}^{\circ }\text{C}$. Suppose random samples of size $64$ are drawn from this population, and the mean temperature of each sample is recorded. What are the mean and standard deviation of the sampling distribution of sample means?

${\mu }_{\bar{x}}={4.8}^{\circ }\text{C}$

${\sigma }_{\bar{x}}={0.1}^{\circ }\text{C}$

${\mu }_{\bar{x}}={4.8}^{\circ }\text{C}$

${\sigma }_{\bar{x}}={0.7}^{\circ }\text{C}$

${\mu }_{\bar{x}}={2.8}^{\circ }\text{C}$

${\sigma }_{\bar{x}}={0.1}^{\circ }\text{C}$

${\mu }_{\bar{x}}={2.8}^{\circ }\text{C}$

${\sigma }_{\bar{x}}={0.7}^{\circ }\text{C}$