The mean, standard deviation, variances, and coefficient of variance of plant height from two rice plants (P1 and P2) and their progeny (F1 and F2) and a backcross generation (P1 x F1) are shown below. Compare the sample variances of P1 and P2. Account for any differences. Similarly, compare the sample variances of the F1 and F2 generations, and account for any differences. Give the possible causes of variation in each generation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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The mean, standard deviation, variances, and coefficient of variance of plant height from two rice plants (P1 and P2) and their progeny (F1 and F2) and a backcross generation (P1 x F1) are shown below. Compare the sample variances of P1 and P2. Account for any differences. Similarly, compare the sample variances of the F1 and F2 generations, and account for any differences. Give the possible causes of variation in each generation.

Mean
Standard
Coefficient of
Population
(in)
Variance
deviation
Variation, %
P1
34.2
1.2
1.4
3.5
P2
65.3
0.8
0.6
1.2
F1
44.2
1.3
1.7
2.9
F2
46.3
1.9
3.6
4.1
BC1
39.7
1.1
1.2
2.8
Transcribed Image Text:Mean Standard Coefficient of Population (in) Variance deviation Variation, % P1 34.2 1.2 1.4 3.5 P2 65.3 0.8 0.6 1.2 F1 44.2 1.3 1.7 2.9 F2 46.3 1.9 3.6 4.1 BC1 39.7 1.1 1.2 2.8
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