chapter 7: statistical data treatment evaluation che 321: quantitative chemical analysis dr. jerome...
DESCRIPTION
Statistical Testing to Data Treatment The confidence interval for the mean is the range of values within which the population mean (μ) is expected to lie with a certain probability. The confidence level is the probability that the true mean lies within a certain interval. It is often expressed as a percentage.TRANSCRIPT
Chapter 7: Statistical Data Treatment & Evaluation
CHE 321: Quantitative Chemical AnalysisDr. Jerome Williams, Ph.D.
Saint Leo University
Overview
• Statistical Testing to Data Treatment– Confidence Intervals
Statistical Testing to Data Treatment
• The confidence interval for the mean is the range of values within which the population mean (μ) is expected to lie with a certain probability.
• The confidence level is the probability that the true mean lies within a certain interval. It is often expressed as a percentage.
Statistical Testing to Data Treatment
• Calculating a confidence interval (CI)
• CI for μ = mean ± (zσ / √N )
• Equation applies only if we can assume that s is a good approximation of σ.
Figure 7-1 p125
Figure 7-1a p125
Figure 7-1b p125
Figure 7-1c p125
Figure 7-1d p125
Figure 7-1e p125
Table 7-1 p125
Table 7-2 p125
Statistical Testing to Data Treatment
• Suppose we consider the case where s is not a good approximation of σ.
• To account for this, we often use the t-test.
• Calculating a confidence interval (CI)
• CI for μ = mean ± (ts / √N )
Table 7-3 p127