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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.

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