In: Statistics and Probability
A researcher would like to determine whether a new tax on cigarettes has had any effect on people’s behavior. During the year before the tax was imposed, stores located in rest areas on the state thruway reported selling an average of µ = 410 packs per day with σ = 60. The distribution of daily sales was approximately normal. For a sample of n = 9 days following the new tax, the researcher found an average of M = 386 packs per day for the same stores.
a. Is the sample mean sufficient to conclude that there was a significant change in cigarette purchases after the new tax. Complete the 4 steps of hypothesis testing using a two-tailed test with α = .05. *Clearly write each step please
b. Calculate cohen's d and explain what it add to hypothesis testing.