Researchers were interested in the epigenetic factors that may influence quantitative traits such as traits such as size in the carpenter ant (Campanotus floridanus). The file Large.Ant contains data on the scape length (in microns; a simple and commonly used proxy for body size) of a sample of 179 adult worker carpenter ants. The researchers concluded that the observed variations in body proportions are indicative of two types of workers among adult carpenter ants, which they labeled major workers and minor workers. To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchit! (a) Use the software of your choice to select the correct description of the distribution of scape lengths among the major workers and the correct 95% confidence interval for the scape length in the population of carpenter ant major workers. (II none of the confidence intervals exactly match the one you obtained, choose the one that is closest.) The distribution of scape lengths among the major workers ranges from about 2100 to 2500 mc, centered at about 2200 me, and is approximately symmetric. The 95% confidence interval is (2200.48, 2500.23). The distribution of scape lengths among the major workers ranges from about 1650 to 2150 me, centered at about 1900 me, and is approximately symmetric. The 95% confidence interval is (2264.48, 2309.23), The distribution of scape lengths among the major workers ranges from about 2100 to 2500 me, centered at about 2400 me, and is approximately symmetric. The 95% confidence interval is (2264.48 2309.23). The distribution of scape lengths among the major workers ranges from about 2100 to 2500 me, centered at about 2200 me, and is approximately symmetrie. The 95% confidence interval is (2264.48. 2309 23). (b) Use the software of your choice to select the correct description of the distribution of scape lengths among the minor workers and the correct 9596 confidence interval for the mean scape length in the population of carpenter ant minor workers. (It none of the contidence intervals exactly match the one you obtained, choose the one that is closest.) The distribution of scape lengths among the minor workers ranges from about 1650 to 2150 mc, centered at about 1800 me, and is approximately symmetric. The 95% confidence interval is (1879.69, 1909.11). The distribution of scape lengths among the minor workers ranges from about 1650 to 2150 mc, centered at about 1900 me, and is approximately symmetric. The 95% confidence interval is (1879.69, 1909.11). The distribution of scape lengths among the minor workers ranges from about 1650 to 2150 mc, centered at about 1900 me, and is approximately symmetric. The 95% confidence interval is (1759.69, 1809.11). The distribution of scape lengths among the minor workers ranges from about 1450 to 2 150 mc, centered at about in Soo Balcite The Practice of Statistin The distribution of scape lengths among the minor workers ranges from about 1450 to 2150 me, centered at about 1900 me, and is right-skewed symmetric. The 95% confidence interval is (1879.69, 1909.11), (c) Using the software of your choice, find with 95% confidence the difference in mean scape length in the populations of major worker and minor worker carpenter ants. (Enter your answer rounded to one decimal place.) difference: Is this difference statistically different? O No. The P-value = 0, which indicates that the mean difference between scape length of major and minor workers is not significant. Yes. The P-value = 0, which indicates that the mean difference between scape length of major and minor workers is significant (d) Does your analysis support the researchers' conjecture of two subpopulations of worker carpenter ants with different body size distributions? Choose the paragraph that best summarizes your findings. The analysis does support the researcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major and minor workers have a slight overlap. The 95% confidence intervals for the major and the minor workers do not overlap, which indicates that the two populations have different mean body length. The 95% confidence interval for the mean difference shows the plausible values for the difference in scape size is well above zero. The analysis does support the researcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major and minor workers have a slight overlap. The 95% confidence intervals for the major and the minor workers overlap, which indicates that the two populations have the same mean body length. The 95% confidence interval for the mean difference shows the plausible values for the difference in scape size is well above zero. The analysis does not support the researcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major and minor workers have a slight overlap. De 13 X D T Is this difference statistically different? No. The P-value = 0, which indicates that the mean difference between scape length of major and minor workers is not significant. Yes. The P-value = 0, which indicates that the mean difference between scape length of major and minor workers is significant. (d) Does your analysis support the researchers' conjecture of two subpopulations of worker carpenter ants with different body size distributions? Choose the paragraph that best summarizes your findings. The analysis does support the researcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major End minor workers have a slight overlap. The 95% confidence intervals for the major and the minor workers do not overlap, which indicates that the two populations have different mean body length. The 95% confidence interval for the mean difference shows the plausible values for the difference in scape size is well above zero. The analysis does support the rescarcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major and minor workers have a slight overlap. The 95% confidence intervals for the major and the minor workers overlap, which indicates that the two populations have the same mean body length. The 95% confidence interval for the mean difference shows the plausible values for the difference in scape size is well aboye zero. The analysis does not support the researcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major and minor workers have a slight overlap. The 95% confidence intervals for the major and the minor workers do not overlap, which indicates that the two populations have different mean body length. The 95% confidence interval for the mean difference shows the plausible values for the difference in scape size is well above zero. The analysis does not support the researcher's conjecture that the two subpopulations of worker carpenter ants have different body size distributions. The distributions of body size for major and minor workers have a slight overlap. The 95% confidence intervals for the major and the minor workers overlap, which indicates that the two populations have the same mean body length. The 95% confidence interval for the mean difference shows the plausible values for the difference in scape sire is well above zero. Question Source That A D G Insert Page Layout Data Formulas Reviow View Home Cabe (Bodyl - 11 A- A- Paste B I H&A X . 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