# 2.1: Examples for Later

- Page ID
- 19630

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Example \(\PageIndex{1}\)

In statistics we often want to compare a computed value to see whether it is less than or greater than 5%. This value is called the p-value. Suppose the calculator gives us that the p-value is 0.0413. Convert this value to a percent and decide how it compares to 5%.

**Solution**

We move the decimal 0.0413 two places to the right to get

4.13%

We can now see that 4.13% is less than 5%.

## (not for this section, but keeping for now until I work on the order of operations section)

Example \(\PageIndex{7}\)

The "z-score" is defined by:

\(z=\frac{x-\mu}{\sigma}\)

Find the z-score rounded to one decimal place if:

\(x=2.323,\:\mu=1.297,\:\sigma=0.241\)

**Solution**

We can put these numbers into the z-score formula and use a computer or calculator to get

\(\frac{2.323-1.297}{0.241}\:=\:4.25726141\)

Now round to one decimal place to get 4.3. Notice that if you rounded before you did the arithmetic, you would get exactly 5 which is very different. 4.3 is more accurate.