Let X1, X2, X3, X4 equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assume that the distribution of Xi is N(i, 2), i = 1, 2, 3, 4. We shall test the null hypothesis H0: 1 = 2 = 3 = 4, using seven observations of each Xi. (a) Give a critical region for an = 0.05 significance level. (b) Construct an ANOVA table and state your conclusion, using the following data: x1: 221 213 202 183 185 197 162 x2: 271 192 189 209 227 236 142 x3: 262 193 224 201 161 178 265 x4: 192 253 248 278 232 267 289 (c) Give bounds on the p-value for this test. (d) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagram

Sergio Gonzalez STAT 241 Chapter 1 Statistics- the art and science of designing studies and analyzing the data that those studies p roduce. Population- ALL individuals or objects in which we are interested ( ex. U.S population ) Sample- small part of population of who we have info about ( ex. Oregon residents ) -We always want objects to be similar to or in other words representative of true proportion Random Sampling- sample has same chance of being selected as any others ( ex. selecting from a hat blindly ) Parameter- numerical measurement used to describe a