Challenge (3)

Lastly, we can construct the confidence intervals and plot them. In this exercise, you will have to calculate the 95% confidence intervals.

If you don't remember, here is the formula for the lower and upper bound respectively:

$$ \overline{x} - 1.96 \times \frac{\sigma}{\sqrt(n)} $$

$$ \overline{x} + 1.96 \times \frac{\sigma}{\sqrt(n)} $$

You can use this formula to calculate the lower and upper bounds with just two lines.

As a hint: samp_mean * 2 in R will multiply all 50 of the means with 2.

100 XP

Calculate lower and upper bounds using the formula described above.
Inspect the plot that was generated with the provided custom function plot_ci().