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 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?
Comments
Leave a comment