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NARRBEGIN: LSAT Scores
LSAT Scores
a Recent College Graduate Is

Question 83

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NARRBEGIN: LSAT Scores
LSAT Scores
A recent college graduate is in the process of deciding which one of three Law schools he should apply to. He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT) scores of those who are accepted into the school. A random sample of six students in each school produced the following LSAT scores. An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools. LSAT Scores  School 1  School 2  School 3 650510590620550510630700520580630500710600490690650530\begin{array}{l}\quad\quad\quad\quad\quad\quad\text {LSAT Scores }\\\begin{array} { c c c } \hline \text { School 1 } & \text { School 2 } & \text { School 3 } \\\hline 650 & 510 & 590 \\620 & 550 & 510 \\630 & 700 & 520 \\580 & 630 & 500 \\710 & 600 & 490 \\690 & 650 & 530 \\\hline\end{array}\end{array} NARREND
-The average cost of remodeling one room in a house was compared for four different remodeling companies. A random sample of 10 rooms remodeled by each company were selected all with the same square footage, and cost of remodeling each room was recorded. (Rooms were randomly chosen from different houses.) The data are shown below. An F-test using ANOVA concluded that average costs differ for at least two of the remodeling companies.  Remodeling Company 1234610404599272354663426405234521429197399518621363278499426297358374414538379562322181548505460318196375494412444438637499\begin{array}{l}\text { Remodeling Company }\\\begin{array} { | c c c c | } \hline 1 & 2 & 3 & 4 \\\hline 610 & 404 & 599 & 272 \\354 & 663 & 426 & 405 \\234 & 521 & 429 & 197 \\399 & 518 & 621 & 363 \\278 & 499 & 426 & 297 \\358 & 374 & 414 & 538 \\379 & 562 & 322 & 181 \\548 & 505 & 460 & 318 \\196 & 375 & 494 & 412 \\444 & 438 & 637 & 499 \\\hline\end{array}\end{array} Use Tukey's and LSD multiple comparison methods to determine which remodeling companies differ in their average cost. Compare the results and discuss. (Keep the experimentwise Type I error at or close to 5%.)

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Computer output showing Tukey's analysis...

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