The homogeneity of the chloride level in a water sample from a lake was tested by analyzing por- tions drawn from the top and from near the bottom of the lake, with the following results in ppm Cl: Top Bottom 26.30 26.22 26.43 26.32 26.28 26.20 26.19 26.11 26.49 26.42 (a) Apply the i test at the 95% confidence level to determine if the means are different. (b) Now use the paired / 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 i test than from just pooling the data and using the normal i test for differences in means?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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 por-
tions drawn from the top and from near the bottom
of the lake, with the following results in ppm CI:
Top
26.30
Bottom
26.22
26.43
26.32
26.28
26.20
26.19
26.11
26.49
26.42
(a) Apply the i test at the 95% confidence level to
determine if the means are different.
(b) Now use the paired / 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 i test than from just pooling the data
and using the normal i 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 por- tions drawn from the top and from near the bottom of the lake, with the following results in ppm CI: Top 26.30 Bottom 26.22 26.43 26.32 26.28 26.20 26.19 26.11 26.49 26.42 (a) Apply the i test at the 95% confidence level to determine if the means are different. (b) Now use the paired / 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 i test than from just pooling the data and using the normal i test for differences in means?
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