20Amount of Evidence

The original histogram, reproduced in Figure 20.1, shows the distribution of random sample means for a sample size of 50.

A bar graphical representation for 50 random numbers, where frequency is plotted on the y-axis on a scale of 0–300 and sample means on the x-axis on a scale of 3–5.

Figure 20.1

Figure 20.2 is a histogram showing the distribution of sample means when sample size is 200. Like before, we use random integers 1–7. Notice that it is more compact.

A bar graphical representation for 200 random numbers, where frequency is plotted on the y-axis on a scale of 0–300 and sample means on the x-axis on a scale of 3–5.

Figure 20.2

Analogous to what we saw with sample proportions:

As we'll see, the uncertainty due to sample size img is incorporated into various statistical formulas involving sample means.

Note

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