A tobacco company believes that selling filtered cigarettes makes consumers believe there is less tar. You work for a consumer advocacy group. From two simple random samples of size 25 you find that the filtered have a mean of 21.2 with a standard deviation of 3.45 and the unfiltered have a mean of 12.9 with a standard deviation of 3.61. Based on your observations, it appears that filtered cigarettes actually have more tar than non-filtered. Test this claim at 0.01 significance. A complete answer must include: 1. Null and Alternative Hypotheses 2. Standardized test statistic. 3. Critical Value 4. Statement of reject or fail to reject. 5. A decision statement within the context of the claim