Question

In a Gallup poll conducted August 31–September 2, 2009, 513 national adults aged 18 years of age or older who consider themselves to be Republican were asked, “Of every tax dollar that goes to the federal government in Washington, D.C., how many cents of each dollar would you say are wasted?” The mean wasted was found to be 56 cents with a standard deviation of 2.8 cents. The same question was asked of 513 national adults aged 18 years of age or older who consider themselves to be Democrat. The mean wasted was found to be 39 cents with a standard deviation of 3.1 cents. Construct a 95% confidence interval for the mean difference in government waste, μ1-μ2, where μ1 denotes the mean for republicans, and μ2 denotes the mean for democrats.

The critical value needed for this confidence interval is tα/2 = .

We are 95% confident that, on average, Republicans feel the government wastes between (lower) and (upper) cents more out of every dollar than Democrats. Report your answers rounded to 3 decimal places, where applicable.

Answer 1