Construct a $95\%$ confidence interval for $5\beta_4$.
If this question were about $\beta_4$ without the $5$, I would absolutely know what to do. But I have to idea how the $5$ comes into play. I can't find any examples in my lecture slides or the textbook that have an numerical coefficient before the regression coefficient.
Would I construct the $95\%$ CI for $\beta_4$ and then multiply the upper and lower bounds by $5$? Or is this some clever way of asking for the $95\%$ prediction interval when the $x$ associated with $\beta_4$ is equal to $5$?
Thanks in advance for any clarification you can give!