Instructions: Complete the following excrcises. No noed to show your work for calculating the mean and standard deviations. Anach additional pages as necessary. Hint: dheie are all two- dample f-tests so you will need to calculate the pooled variance 0 for the 1. In a study designed to determine the relationship between climate and facial structure, Koertvelyessy (1972) obtained the followiag figures for frontal sinus surface area in Ineit males (Exereise 10.4, Refiguring Anthonopology): a. Do the Insit males from the colder enviroement tend to have significantly smaller frontal sinuses? Use a- 0.05 2. The Grasshopper site is a rather large masonry ruin located in Arizona. In an attempt to infer changes in prehistoric social organization, excavators carefully recorded the dimcasions of each room, including the fircheartiss found in each. The rooms date from two periods - Early and late (Data from Ciolek-Torello and Reid, 1974). Sizes of firchearths in cm a. Apply a directional hypothesis test, i.c., the alternative or research hypothesis is that Early rooms have larger firchearths. Use a 0.05 b. What is the minimum alpha () at which you can rejeet H? e. What is the pot estimate for (the mean difference between Early and Late room firchearth sizes)? Construct a confidence interval for A. Pick any degree of confidence between 90 and 99% that suits your personality and standardk..