For the function y = f(x) with graph shown, sketch the graphs of: a y = f0 (x) b y =

Chapter 8: Confidence Intervals Based Single Sample Section 8.1-Point Estimation ~Properties of Good Estimator~  Unbiased -Value of structure varies from one sample to another -Want the average value of the statistics to equal the parameter to try to estimate  Small Variance -If two different statistics are each unbiased for estimating the same parameter, want statistic with the smaller variance -Statistic will, on average, yield estimates that are closer to the true value of parameter An example is provided at the bottom Section 8.2- Confidence Interval for Pop’n Mean when Theta Known Statistical Infernce- Using sample statistic (sample mean) to conclusion about population parameter (population mean) ~Two Types~  Confidence Internal  Hypothesis Test (a.k.a Significant Test) ~Confidence Interval~ -Used to estimate the known value of population parameter -Express estimate an interval that believes containing true parameter value -Confidence interval has specified level of confidence ~Confidence Interval to Estimate Population Mean~ -Underlying population has a normal distribution or n is larger -Population Standard Deviation has a known value Example is provided at the bottom: D) (i) How does the confidence level affect the overall width (length) of a confidence interval -As the confidence level Increases, the Interval gets Larger and Less Precise -As the confidence level Decreases, the Interval gets Shorter and More Precise (ii) How does the sample size n effec