Week 4 Project STAT 3001 Week 4 Project: Confidence Intervals and Hypothesis Testing Descriptive Statistics 1) After you have opened the Statdisk program, go to Datasets and then Elementary Stats, 11th Edition. Open the file named Cigarette Tar, Nicotine, and Carbon Monoxide. The data will appear in the Sample Editor. The different columns of data values contain the amounts tar, nicotine, or carbon monoxide of three different types of cigarettes. The three different types of cigarettes are King (Kg), Menthol (Mn), and Flavored (FL). The data was collected for a comparison of the three leading types of cigarettes on the three most common chemicals found in cigarettes. This project will compare the amounts of tar in the three most popular types of cigarettes. 2) Generate descriptive statistics for each Tar column (King, Menthol, and Flavored ). Copy the descriptive statistics from Statdisk and paste it here. Be sure to change the font color to red. Descriptive Statistics Column 1 KgTar Sample Size, n: 25 Mean: 21.12 Median: 20 Midrange: 18.5 RMS: 21.35603 Variance, s^2: 10.44333 St. Dev., s: 3.231615 Mean Abs Dev: 2.1536 Range: 17 Coeff. Of Var. 15.30% Minimum: 10 1st Quartile: 20 2nd Quartile: 20 3rd Quartile: 23 Maximum: 27 Sum: 528 Sum Sq: 11402 Descriptive Statistics Column 4 MnTar Sample Size, n: 25 Mean: 12.92 Median: 13 Midrange: 10.5 RMS: 13.42684 Variance, s^2: 13.91 St. Dev., s: 3.729611 Mean Abs Dev: 2.5216 Range: 17 Coeff. Of Var. 28.87% Minimum: 2 1st Quartile: 13 2nd Quartile: 13 3rd Quartile: 15 Maximum: 19 Sum: 323 Sum Sq: 4507 Descriptive Statistics Column 7 FLTar Sample Size, n: 25 Mean: 13.2 Median: 15 Midrange: 9.5 RMS: 13.68211 Variance, s^2: 13.5 St. Dev., s: 3.674235 Mean Abs Dev: 2.48 Range: 15 Coeff. Of Var. 27.84% Minimum: 2 1st Quartile: 13 2nd Quartile: 15 3rd Quartile: 15 Maximum: 17 Sum: 330 Sum Sq: 4680 3) Create boxplots for each Tar column. Put all three boxplots on one graph. Once you have all three boxplots on one graph, copy and paste that graph here. Briefly describe any differences between the tar levels. Column 1 King Tar levels are significantly higher than Menthol and Flavored, Menthol and Flavored are equally represented. Confidence Levels 4) Create a 95% confidence interval about the mean for each Tar column of data. Copy the confidence intervals here. Margin of error, E = 1.333944 95% Confident the population mean is within the range: 19.78606 < mean <22.45394 Margin of error, E = 1.539506 95% Confident the population mean is within the range: 11.38049 < mean <14.45951 Margin of error, E = 1.516648 95% Confident the population mean is within the range: 11.68335 < mean <14.71665 5) Compare the confidence intervals for each data set. Put all three confidence intervals on one graph using the tools in your word processor (example below). Statdisk cannot do that for you. Enter your graph and turn the font red. For this process, you can just use dashes and write a scale below the axes. Here is an example, but it is not based on the data you are analyzing: King Tar (19.78606)-----------(22.45394) Menthol Tar (11.38049)--------(14.45951) Flavored Tar (11.68335)------------(14.71665) 6) Based on the confidence intervals, does there appear to be enough evidence to conclude that the levels of tar in the three top selling types of cigarettes is the same? Explain why. The level of tar is not the same King cigarettes indicates a higher level of tar while Menthol is only slightly higher than Flavored STAT 3001 Week 4 Project Hypothesis Testing 7) Test the claim that the mean tar level of the Menthol group is significantly different from a safe level of 11. Use a significance level of .05. List the test statistic, p-value, and whether to accept or reject the null hypothesis. Use Statdisk to perform the hypothesis test. Copy and paste the results here. Turn the font red. What does this suggest about the safety of the tar level in Menthol cigarettes? Alternative Hypothesis: The tar level is higher than