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{"ops":[{"insert":"The homogeneity of the chloride level in a water sample from a lake was tested by \nanalyzing portions drawn from the top and from near the bottom of the lake, with the \nfollowing results in ppm Cl: \n \nTop Bottom \n26.30 26.22 \n26.43 26.32 \n26.28 26.20 \n26.19 26.11 \n26.49 26.42 \n \n \n \n(a) Apply the t test at the 95% confidence level to determine if the chloride level from \nthe top of the lake is different from that at the bottom. \n(b) Now use the paired t test and determine whether there is a significant difference \nbetween the top and bottom values at the 95% confidence level. \n(c) Why is a different conclusion drawn from using the paired t test than from just \npooling the data and using the normal t test for differences in means? \n"}]}
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