CHMB16H3 Lecture Notes - Lecture 4: F-Test, Null Hypothesis, Normal Distribution
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Q2. The homogeneity of the chloride level in a water sample from a lake was tested by analysing portions from drawn from the top and near the bottom of the lake. The results are given below, in ppm Cl-:
Top | Bottom | |
26.30 | 26.22 | |
26.43 | 26.32 | |
26.19 | 26.11 | |
26.49 | 26.42 | |
26.28 | 26.20 |
Calculate (manually) the mean and standard deviation for samples from the top of the lake, and for samples from the bottom of the lake. You may make tables with columns for deviations and squared deviations.
Should the value 26.19 ppm be rejected at 95% confidence?State the null hypothesis, show calculation of the experimental statistic, and show the choice of critical statistic.
What is the 90% confidence interval for [Cl-] at the bottom of the lake?
Find the pooled standard deviation for the chloride analyses in ppm.
Determine if there is a systematic difference between the mean values of the lake-water (top versus bottom) at the 90% confidence level. State the null hypothesis, show the calculation of the test value, and how you chose your statistical value.
Is there homogeneity at the 99% confidence level? Show working with the statistical test.