Five different oat varieties were planted in each of the four fields. The following crops were obtained   oat variety field field field field   1 2 3 4 1 296 357 340 348 2 402 390 420 335 3 345 324 358 308 4 360 322 336 270 5 324 339 357 308 Test whether there is a difference in the amount of harvest based on the data

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Five different oat varieties were planted in each of the four fields.
The following crops were obtained

 

oat variety field field field field
  1 2 3 4
1 296 357 340 348
2 402 390 420 335
3 345 324 358 308
4 360 322 336 270
5 324 339 357 308


Test whether there is a difference in the amount of harvest based on the data
(a) between fields. (b) between varieties.

 

DO NOT use ready-made functions of R or any other software for tests. Instead, you can use R to calculate quantiles, sample means, sample standard deviations and p-values. If no significance level is given in the task, use the usual/usual significance levels.

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