l) The distribution of sample means will be approximately normal under which conditions? Put a check in front of all statements that apply. The population being The population being It doesn't matter what the sampled has a normal distribution. sampled may not be normal, but the shape ofthe population distribution sample size is large (\"230). is, the sampling distribution will always be normal. 2) A pediatrician works with a population of children that is normally distributed with a mean height of \"=40 inches and a standard deviation of 5:104 inches. Over the course of a day, he sees 16 patients, which can be considered a SRS from the population of his patients. [5pts] a} Find the standard deviation of the sampling distribution of x'. b) What is the probability that on a given day, the mean height of his 16 patients is greater than 45 inches? 3} Below is the population distribution of scores on a recent midterm exam. The mean of this population is J\"=76 and the population standard deviation is 5:8. [8pts] ' 8) Calculate the mean and standard distribution of the sampling distribution obtained by taking an SRS of \":5