Class Notes Example

1. Including math notation in your notes
2. Including R in your notes
3. Including the mosaic package
4. The SE of the difference between two means

The next slides are about putting some math notation and R calculations in your slides, not about the best way to teach about the standard error of the mean.

You're already familiar with the formula for the standard error of the mean.

• Calculation: \( s/\sqrt{n} \) where \( s \) is the sample standard deviation
• Uses: Construct a 95\% confidence interval.
  • The margin of error is \( \pm 2 \times s/\sqrt{n} \)
• Distribution: t distribution with \( n-1 \) df

Your R computations can be added to the presentation by including them in fences

    ` ``{r}
    3+2
    ```

This will appear in your finished document like this:

3+2

[1] 5

Each document must be self-contained.

This means that you should include the mosaic package (typically at the top of the document):

require(mosaic)

Use the include=FALSE flag, e.g. {r include=FALSE} to supporess printing.

The wage data: CPS85

nrow(CPS85)

[1] 534

mean(wage, data=CPS85)

[1] 9.024

sd(wage, data=CPS85)

[1] 5.139

Starting data:

mean(wage ~ sex, data=CPS85)

    F     M 
7.879 9.995 

sd(wage ~ sex, data=CPS85)

    F     M 
4.720 5.286 

tally(~sex, data=CPS85)

    F     M Total 
  245   289   534 

You take it from here on.

Do the calculation. Then compare it to the result you get in the t-test:

t.test(wage~sex, data=CPS85)