Assume you have a population which has been measured on a scale of career ambition with u = 150 and o = 40. Assume that the ambition scores are normally distributed in the population. Assume that you have drawn a sample of 100 individuals from the population and have recorded the mean in this sample. Then you have replaced the individuals in the population and have drawn another sample of size 100. You keep doing this repeatedly until you have a list of the sample means in a huge number of samples from this population. Now you make a plot of the means of all the samples (i.e., you form a distribution of the sample means). 1. What is this distribution called? 2. What is the numerical value of the mean of the distribution you have created? 3. In general, how does the mean of the distribution you have created relate to the population mean? 4. What will be the shape of the distribution of means? Explain your answer. 5. Now suppose you calculate the standard deviation of the sample means. Note that the standard deviation of the sample means is called the standard error of the mean. a. What is the symbol for the standard error of the mean? b. Give the algebraic formula for the standard error of the mean that shows the relationship of the standard error of the mean to the standard deviation of the raw scores. c. What is the value of the standard error of the means for samples of size n = 100?