Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $58.2 thousand. Assume a standard deviation of $7.6 thousand. Complete parts (a) through (e) below. Question content area bottom Part 1 a. Determine the sampling distribution of the sample mean for samples of size 64. The mean of the sample mean is mu Subscript x overbarequals$ enter your response here. (Type an integer or a decimal. Do not round.) Part 2 The standard deviation of the sample mean is sigma Subscript x overbarequals$ enter your response here. (Type an integer or a decimal. Do not round.) Part 3 b. Determine the sampling distribution of the sample mean for samples of size 256. The mean of the sample mean is mu Subscript x overbarequals$ enter your response here. (Type an integer or a decimal. Do not round.) Part 4 The standard deviation of the sample mean is sigma Subscript x overbarequals$ enter your response here. (Type an integer or a decimal. Do not round.) Part 5 c. Do you need to assume that classroom teacher salaries are normally distributed to assume the distributions in parts (a) and (b) are normally distributed? Explain your answer. A. No, because if x overbar is normally distributed, then x must be normally distributed. B. No, because the sample sizes are sufficiently large so that x overbar will be approximately normally distributed, regardless of the distributi