Compute for the F – Test – Single Factor ANOVA, an agronomist planted three test plots each with four varieties of wheat and obtained the following yields (in pounds per plot): Variety A: 65 64 60 Variety B: 55 56 63 Variety C: 56 59 59 Variety D: 62 59 63   Calculate n . s    for these data, the mean of the variances of the four s

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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  1. Compute for the F – Test – Single Factor ANOVA, an agronomist planted three test plots each with four varieties of wheat and obtained the following yields (in pounds per plot):

Variety A:

65

64

60

Variety B:

55

56

63

Variety C:

56

59

59

Variety D:

62

59

63

 

  • Calculate n .   for these data, the mean of the variances of the four samples and the value of F.
  • Assuming that these data constitute random samples from four normal populations with the same standard deviation, test at the 0.01 level of significance whether the differences among the four sample means can be attributed to chance.
8. Compute for the F - Test - Single Factor ANOVA, an agronomist planted three test plots each
with four varieties of wheat and obtained the following yields (in pounds per plot):
Variety A:
Variety B:
Variety C:
Variety D:
65
64
60
55
56
63
56
59
59
62
59
63
(a) Calculate n:s for these data, the mean of the variances of the four samples and the
value of F.
(b) Assuming that these data constitute random samples from four normal populations with the
same standard deviation, test at the 0.01 level of significance whether the differences
among the four sample means can be attributed to chance.
Transcribed Image Text:8. Compute for the F - Test - Single Factor ANOVA, an agronomist planted three test plots each with four varieties of wheat and obtained the following yields (in pounds per plot): Variety A: Variety B: Variety C: Variety D: 65 64 60 55 56 63 56 59 59 62 59 63 (a) Calculate n:s for these data, the mean of the variances of the four samples and the value of F. (b) Assuming that these data constitute random samples from four normal populations with the same standard deviation, test at the 0.01 level of significance whether the differences among the four sample means can be attributed to chance.
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