Researchers were interested in the epigenetic factors that may influence quantitative traits such as size in the carpenter ant (Camponotus floridanus).21 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.

Describe the distribution of scape lengths among the major workers and obtain a 95% confidence interval for the mean scape length in the population of carpenter ant major workers.

major 'l worker 'Ll scape m head 'LI 1 major 2140 1910 1 major 2160 1950 1 major 2170 1970 1 major 2180 1910 1 major 2180 2020 1 major 2190 2070 1 major 2190 2060 1 major 2210 1990 1 major 2220 2190 1 major 2220 2260 1 major 2220 2070 1 major 2270 2250 1 major 2240 2400 1 major 2240 2270 1 major 2240 2350 1 major 2250 2430 1 major 2250 2570 1 major 2250 2460 1 major 2260 2260 1 major 2260 2340 1 major 2270 2400 1 major 2270 2600 1 major 2270 2270 1 major 2270 2360 1 major 2280 2540 1 major 2290 2450 1 major 2290 2460 154 1 major 2290 2540 155 1 major 2300 2480 156 1 major 2300 2530 157 1 major 2310 2540 158 1 major 2310 2740 159 1 major 2320 2460 160 1 major 2320 2550 161 1 major 2320 2640 162 1 major 2320 2670 163 1 major 2320 2650 164 1 major 2300 2550 165 1 major 2330 2650 166 1 major 2340 2460 167 1 major 2340 2530 168 1 major 2340 2600 169 1 major 2340 2710 170 1 major 2340 2700 171 1 major 2340 2610 172 1 major 2350 2750 173 1 major 2360 2650 174 1 major 2360 2790 175 1 major 2370 2620 176 1 major 2350 2690 177 1 major 2370 2590 178 1 major 2390 2750 179 1 major 2410 2810 180 1 major 2470 2840