A population of people with bad money-saving habits needs an intervention. The amount of money they save monthly is µ = 0 with a σ = 42. Researchers hypothesize that watching the HGTV show Flip or...

A population of people with bad money-saving habits needs an intervention. The amount of money they save monthly is µ = 0 with a σ = 42. Researchers hypothesize that watching the HGTV show Flip or Flop will encourage these folks to save money (e.g., to help save for a down payment on a new house). The researchers hypothesize that this “treatment” will increase scores in a sample of
n
= 36 by $40, to a new population mean of µ = 40.

a. What is the power of this study, given a two-tailed hypothesis and an α = .05?