What is the chi-squared test statistic for this data set?What is the appropriate degrees of freedom value for this test? b.What is the critical value that you would use to determine if there is a difference in the distributions of fish sizes across the different lakes? c.Select a conclusion statement from a list of choices.(photo attached

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 15E
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2w.need help with parts a-c

a.What is the chi-squared test statistic for this data set?What is the appropriate degrees of freedom value for this test?

b.What is the critical value that you would use to determine if there is a difference in the distributions of fish sizes across the different lakes?

c.Select a conclusion statement from a list of choices.(photo attached)

 

Consider a situation where an ecologist collects samples of fish from 4 different lakes named for their direction from a central location. They classify each captured
individual into one of three size categories and record the numbers.
Body size
Medium
29
29
25
17
Location Small
North
21
East
29
South
31
West
19
Large
50
42
44
64
Transcribed Image Text:Consider a situation where an ecologist collects samples of fish from 4 different lakes named for their direction from a central location. They classify each captured individual into one of three size categories and record the numbers. Body size Medium 29 29 25 17 Location Small North 21 East 29 South 31 West 19 Large 50 42 44 64
There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (p>0.05).
There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.025<p<0.05).
There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.02<p<0.025).
There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.01<p<0.02).
There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.001<p<0.01).
There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (p<0.001).
There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes (p>0.
There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(0.025<p<0.05).
There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(0.02<p<0.025).
There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(0.01<p<0.02).
There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.001<p<0.01).
There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(p<0.001).
Transcribed Image Text:There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (p>0.05). There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.025<p<0.05). There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.02<p<0.025). There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.01<p<0.02). There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.001<p<0.01). There is good evidence that the distributions of sizes of fish appear to be different in the different lakes (p<0.001). There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes (p>0. There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(0.025<p<0.05). There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(0.02<p<0.025). There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(0.01<p<0.02). There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes (0.001<p<0.01). There is not good evidence that the distributions of sizes of fish appear to be different in the different lakes(p<0.001).
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