Identify the distribution of the sample mean. In particular, state whether the distribution of x is normal or approximately normal and give its mean and standard deviation. The weights of people in a certain population are normally distributed with a mean of 154 1b and a standard deviation of 23 1b. Determine the sampling distribution of the mean for samples of size 4. O Approximately normal, mean = 154 lb, standard deviation = 5.75 lb O Approximately normal, mean = 154 lb, standard deviation = 11.5 lb Normal, mean = 154 lb, standard deviation = 11.5 lb Normal, mean = 154 lb, standard deviation = 23 lb