A random variable X is normally distributed. It has a mean of 229 and a standard deviation of 23. List the givens with correct symbols: = 229 ? ? = 23 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. On is at least 30 On is less than 30 o is known population is not normal population is normal Oo is unknown 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: Round final answer to two decimal places

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.