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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 9.3 - Problem 9.3-6
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 9.3 - Problem 9.3-6

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# Let X1, X2, X3, X4 equal the cholesterol level of a woman under the age of 50, a man

ISBN: 9780321923271 41

## Solution for problem 9.3-6 Chapter 9.3

Probability and Statistical Inference | 9th Edition

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Problem 9.3-6

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

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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​

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