The homogeneity of the chloride level in a water sample from a lake was tested by analyzing portions drawn from the top and from near the bottom of the lake, with the following results in ppm Cl: Тop Bottom 26.30 26.22 26.43 26.32 26.28 26.20

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The homogeneity of the chloride level in a water sample from a lake was tested by
analyzing portions drawn from the top and from near the bottom of the lake, with the
following results in ppm Cl:
Тоp
Bottom
26.30
26.22
26.43
26.32
26.28
26.20
26.19
26.11
26.49
26.42
a. Apply the t test at the 95% confidence level to determine if the chloride level
from the top of the lake is different from that at the bottom.
b. Now use the paired t test and determine whether there is a significant
difference between the top and bottom values at the 95% confidence level.
c. Why is a different conclusion drawn from using the paired t test than from just
pooling the data and using the normal t test for differences in means?
Transcribed Image Text:The homogeneity of the chloride level in a water sample from a lake was tested by analyzing portions drawn from the top and from near the bottom of the lake, with the following results in ppm Cl: Тоp Bottom 26.30 26.22 26.43 26.32 26.28 26.20 26.19 26.11 26.49 26.42 a. Apply the t test at the 95% confidence level to determine if the chloride level from the top of the lake is different from that at the bottom. b. Now use the paired t test and determine whether there is a significant difference between the top and bottom values at the 95% confidence level. c. Why is a different conclusion drawn from using the paired t test than from just pooling the data and using the normal t test for differences in means?
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