esearchers sampled fish from a lake and measured the lengths (mm) of all individuals of two species, bream and perch. They were interested in testing whether there was a difference in the mean lengths of the two species in the lake. Based on the output below, what would be the correct conclusion to draw?   Mean n Std deviation Std error of mean Bream 531.00 6 309.60 126.39 Perch 154.82 11 78.76 23.75  options:   Bream are significantly larger on average than perch in this lake.   There is no significant difference in average sizes of the two species of fish from this lake.   The variances are different so it is not possible to do a statistical test comparing means.   Perch are significantly larger on average than bream in this lake.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Researchers sampled fish from a lake and measured the lengths (mm) of all individuals of two species, bream and perch. They were interested in testing whether there was a difference in the mean lengths of the two species in the lake. Based on the output below, what would be the correct conclusion to draw?

 
Mean
n
Std deviation
Std error of mean
Bream
531.00
6
309.60
126.39
Perch
154.82
11
78.76
23.75

 options:

 

Bream are significantly larger on average than perch in this lake.

 

There is no significant difference in average sizes of the two species of fish from this lake.

 

The variances are different so it is not possible to do a statistical test comparing means.

 

Perch are significantly larger on average than bream in this lake.

length 1
1000
008
600
400
200
Bream
species
Perch
Two Sample t-test
data: length1 by species
t = 3.9019, df = 15, p-value = 0.001416
alternative hypothesis: true difference in means is not equal to 0.
95 percent confidence interval:
170.6882 581.6755
sample estimates:
mean in group Bream mean in group Perch
531.0000
154.8182
Welch Two Sample t-test
data: lengthi by species
t = 2.9251, df = 5.356, p-value = 0.03024
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
52.08779 700.27584
sample estimates:
mean in group Bream mean in group Perch
531.0000
154.8182
Transcribed Image Text:length 1 1000 008 600 400 200 Bream species Perch Two Sample t-test data: length1 by species t = 3.9019, df = 15, p-value = 0.001416 alternative hypothesis: true difference in means is not equal to 0. 95 percent confidence interval: 170.6882 581.6755 sample estimates: mean in group Bream mean in group Perch 531.0000 154.8182 Welch Two Sample t-test data: lengthi by species t = 2.9251, df = 5.356, p-value = 0.03024 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: 52.08779 700.27584 sample estimates: mean in group Bream mean in group Perch 531.0000 154.8182
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