A random sample of size 28 from a bivariate normal distribution yielded a sample correlation coefficient of r = 0.65. Find an approximate 90% confidence interval for .

Section 1: Introduction to Statistics Stat 2220, Espey ➢ Statistics: the science concerned with the collection, organization, and analysis of information ➢ Statistical literacy: having the skills to question and interpret statistics encountered in everyday life ➢ Unit: the thing being described by a set of data (ex: Clemson Student) ➢ Variable: Characteristic of the units that is measured ➢ Population of units: all units of interest (ex: All Clemson Students) ➢ Population: The variable measurements of the whole population of units ○ N = population size ○ Parameter: A number calculated to describe the populat is the truth that we want to find, but is usually unknown because most research does not or can not test the entire population of units. ■ μ = population mean 2 ■ σ = population variance ■ σ = population standard deviation ■ p = population proportion ○ The census attempts to include the entire population of units (All Americans), but inevitably misses some units (eg the homeless) ➢ Sample of units: all units from which data is taken (ex: Clemson students surveyed) ➢ Sample: The variable measurements of the sample of units ○ n = sample size ○ Statistic: A number calculated to describe the sample. This is the best guess at the parameter. ■ x = sample mean ■ s = sample variance ■ s = sample standard deviat