A random variable X is not normally distributed. It has a mean of 27 and a standard deviation of 4. List the givens with correct symbols: =27 =4 a) If you take a sample of size 19, can you say what the shape of the sampling distribution for the sample mean is? Why or why not? Check all that apply. n is at least 30 σ is known n is less than 30 σ is unknown population is normal population is not normal b) For a sample of size 19, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample mean when n=19 : standard deviation of the sampling distribution of the sample mean when n=19 rounded to two decimal places: c) If you take a sample of size 34, can you say what the shape of the distribution of the sample mean is? Why or why not? n is at least 30 n is less than 30 population is not normal σ is known population is normal σ is unknown d) For a sample of size 34, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample meanwhen n=34 : standard deviation of the sampling distribution of the sample mean when n=34 rounded to two decimal places: