The Average Cost of Remodeling One Room in a House

question 68

Essay

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.
$$\begin{array}{l}\text { Remodeling Company }\\\begin{array} { | c c c c | } \hline 1 & 2 & 3 & 4 \\\hline 610 & 404 & 599 & 272 \\354 & 663 & 426 & 405 \\234 & 521 & 429 & 197 \\399 & 518 & 621 & 363 \\278 & 499 & 426 & 297 \\358 & 374 & 414 & 538 \\379 & 562 & 322 & 181 \\548 & 505 & 460 & 318 \\196 & 375 & 494 & 412 \\444 & 438 & 637 & 499 \\\hline\end{array}\end{array}$$ 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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