The population of current statistics students has ages with mean mu and standard deviation sigma. samples of statistics students are randomly selected so that there are exactly 47 students in each sample. for each sample, the mean age is computed. what does the central limit theorem tell us about the distribution of those mean ages? choose the correct answer below. a. because ngreater than30, the sampling distribution of the mean ages is precisely a normal distribution with mean mu and standard deviation startfraction sigma over startroot 47 endroot endfraction . b. because ngreater than30, the sampling distribution of the mean ages can be approximated by a normal distribution with mean mu and standard deviation startfraction sigma over startroot 47 endroot endfraction . c. because ngreater than30, the sampling distribution of the mean ages can be approximated by a normal distribution with mean mu and standard deviation sigma. d. because ngreater than30, the central limit theorem does not apply in this situation.