Often, a microbiologist needs to measure samples from only one population and 1) estimate its mean through confidence intervals, or 2) compare it to a standard. For example, through a series of dilutions, one can estimate the true population colony count, and then may want to compare that count measurement to a standard level for quality control purposes. In this chapter, we will be concerned only with normally distributed data.
2.1 Estimation of a OneSample Mean
Recall from Chapter 1 that, in biostatistics, the true population mean, μ, is estimated by the sample mean, \(\bar x\)