Consider a Random Sample with Sample Mean $\overline{x}$ If the Sample Size Is Increased from N =

Multiple Choice

Consider a random sample with sample mean $\overline{x}$ . If the sample size is increased from n = 40 to n = 360, then the standard deviation of $\overline{x}$ will

A) remain the same.
B) increase by a factor of 9 (will be multiplied by 9) .
C) decrease by a factor of 9 (will be multiplied by 1/9) .
D) decrease by a factor of 3 (will be multiplied by 1/3) .