(Solved): random sample is drawn from a normally distributed population with mean = 12 and standard deviati ...

random sample is drawn from a normally distributed population with mean μ = 12 and standard deviation σ = 1.5. What are the expected value and the standard error of the sampling distribution of the sample mean with n = 22 and n = 44. Note: Round the standard error to 3 decimal places. b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with \( n=22 \) will have a normal distribution. No, only the sample mean with \( n=44 \) will have a normal distribution.