Suppose we are interested in the behavior of sample mean amount borrowed by undergraduates for college tuition, for random samples of a certain size.
a. To draw conclusions about the center of the distribution of sample mean, which of these do we need to know (there may be more than one needed): population mean, population standard deviation, population shape, sample size?
b. To draw conclusions about the spread of the distribution of sample mean, which of these do we need to know (there may be more than one needed): population mean, population standard deviation, population shape, sample size?
c. To draw conclusions about the shape of the distribution of sample mean, which of these do we need to know (there may be more than one needed): population mean, population standard deviation, population shape, sample size?