4. In an experiment to see whether the amount of cov- erage of light-blue interior latex paint depends eithem on the brand of paint or on the brand of roller used, I gallon of each of four brands of paint was applied using each of three brands of roller, resulting in the following data (number of square feet covered). Roller Brand 2 3 1 454 446 451 Paint 446 444 447 Вгаnd 3 439 442 444 4 444 437 443 a. Construct the ANOVA table. [Hint: The compu- tations can be expedited by subtracting 400 (or any other convenient number) from each obser- vation. This does not affect the final results.] 5. State and test hypotheses appropriate for decid- ing whether paint brand has any effect on cover- nge. Use a = .0s. Beneat part (b) for brand of rolier.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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4. In an experiment to see whether the amount of cov-
erage of light-blue interior latex paint depends either
on the brand of paint or on the brand of roller used,
I gallon of each of four brands of paint was applied
using each of three brands of roller, resulting in the
following data (number of square feet covered).
Roller Brand
2
3
454
446
1
446
451
2
447
Paint
Вгаnd
444
3
439
442
444
4
444
437
443
a. Construct the ANOVA table. [Hint: The compu-
tations can be expedited by subtracting 400 (or
any other convenient number) from each obser-
vation. This does not affect the final results.]
b. State and test hypotheses appropriate for decid-
ing whether paint brand has any effect on cover-
nge. Use a = .0s.
c. Repeat part (b) for brand of roller.
d. Use Tukey's method to identify significant dif-
ferences among brands. Is there one brand that
seems clearly preferable to the others?
Transcribed Image Text:4. In an experiment to see whether the amount of cov- erage of light-blue interior latex paint depends either on the brand of paint or on the brand of roller used, I gallon of each of four brands of paint was applied using each of three brands of roller, resulting in the following data (number of square feet covered). Roller Brand 2 3 454 446 1 446 451 2 447 Paint Вгаnd 444 3 439 442 444 4 444 437 443 a. Construct the ANOVA table. [Hint: The compu- tations can be expedited by subtracting 400 (or any other convenient number) from each obser- vation. This does not affect the final results.] b. State and test hypotheses appropriate for decid- ing whether paint brand has any effect on cover- nge. Use a = .0s. c. Repeat part (b) for brand of roller. d. Use Tukey's method to identify significant dif- ferences among brands. Is there one brand that seems clearly preferable to the others?
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