5. 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: Top 26.30 26.43 26.28 26.19 26.49 Bottom 26.22 26.32 26.20 26.11 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 nommal test for differences in means?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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5. 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:
Top
26.30
26.43
26.28
26.19
26.49
Bottom
26.22
26.32
26.20
26.11
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 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 normalt test for differences in means?
Transcribed Image Text:5. 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: Top 26.30 26.43 26.28 26.19 26.49 Bottom 26.22 26.32 26.20 26.11 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 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 normalt test for differences in means?
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