If there is no association between color and clarity, what is the standard deviation of resulting chi-square distribution?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet
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Please answer question 3.7

A diamond is valued by, among other characteristics, its color and clarity. 281 diamonds at a
well-known diamond merchant were assessed and the distribution of four colors (D to G) and
five clarity levels (C1 to C5) shown below was obtained:
Clarity
Color
C1
C2
C4
C5
Total
D
7
12
14
3
7
43
E
16
31
21
3
6
77
F
10
29
16
13
12
80
G
4
36
26
9
81
Total
37
108
77
28
31
281
Transcribed Image Text:A diamond is valued by, among other characteristics, its color and clarity. 281 diamonds at a well-known diamond merchant were assessed and the distribution of four colors (D to G) and five clarity levels (C1 to C5) shown below was obtained: Clarity Color C1 C2 C4 C5 Total D 7 12 14 3 7 43 E 16 31 21 3 6 77 F 10 29 16 13 12 80 G 4 36 26 9 81 Total 37 108 77 28 31 281
If there is no association between color and clarity, what is the standard deviation of resulting
chi-square distribution?
This question requires a numeric input; no work is necessary. Make sure to include 4 decimal
places, if appropriate and express it as X.XXXX
Enter your answer here
Transcribed Image Text:If there is no association between color and clarity, what is the standard deviation of resulting chi-square distribution? This question requires a numeric input; no work is necessary. Make sure to include 4 decimal places, if appropriate and express it as X.XXXX Enter your answer here
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