Identify the test statistic that should be used for testing whether the average distance hit for the four brands of baseball bats differ.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Four brands of baseball bats were tested to determine which bat allowed hitters to hit a baseball farthest. Eight different batters were
thrown 25 pitches while hitting with each of the four bats (assigned in random order). The average distance of the five longest hits using
each bat is shown in the table below. The goal is to determine if the average hit distance differs for the four brands of baseball bats.
Batter | Brand1| Brand 2 | Brand 3 | Brand 4
315
1
307
300
275
310
317
305
285
335
335
330
302
4.
325
328
320
300
300
305
295
270
345
350
340
310
312
315
308
300
298
302
295
288
The ANOVA table output is shown here:
F P
6227.4 946.77 39.700.0000
4117.6 1372.54 57.55 0.0000
Source
DF
MS
Batter
Brand
Error
21
500.9
23.85
Total
31
11245.9
Identify the test statistic that should be used for testing whether the average distance hit for the four brands of baseball bats differ.
O 0.0000
О 39.7
O 23.85
O 57.55
Transcribed Image Text:Four brands of baseball bats were tested to determine which bat allowed hitters to hit a baseball farthest. Eight different batters were thrown 25 pitches while hitting with each of the four bats (assigned in random order). The average distance of the five longest hits using each bat is shown in the table below. The goal is to determine if the average hit distance differs for the four brands of baseball bats. Batter | Brand1| Brand 2 | Brand 3 | Brand 4 315 1 307 300 275 310 317 305 285 335 335 330 302 4. 325 328 320 300 300 305 295 270 345 350 340 310 312 315 308 300 298 302 295 288 The ANOVA table output is shown here: F P 6227.4 946.77 39.700.0000 4117.6 1372.54 57.55 0.0000 Source DF MS Batter Brand Error 21 500.9 23.85 Total 31 11245.9 Identify the test statistic that should be used for testing whether the average distance hit for the four brands of baseball bats differ. O 0.0000 О 39.7 O 23.85 O 57.55
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