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Exercise

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.

Instructions
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().