Consider a random variable X that is normally distributed. Complete parts (a) through (d) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Question content area bottom Part 1 (a) If a random variable X is normally distributed, what will be the shape of the distribution of the sample mean? Normal Skewed right Skewed left Cannot be determined Part 2 (b) If the mean of a random variable X is 45, what will be the mean of the sampling distribution of the sample mean? mu Subscript x overbarequals enter your response here Part 3 (c) As the sample size n increases, what happens to the standard error of the mean? A. The standard error of the mean increases B. The standard error of the mean remains the same. C. The standard error of the mean decreases. Part 4 (d) If the standard deviation of a random variable X is 20 and a random sample of size nequals21 is obtained, what is the standard deviation of the sampling distribution of the sample mean