Kin 4310 assign.4 QUESTION 1 1. The Cougar Swim Club acquired some Speedo Fastskin bodysuits and decided to test them out. A number of the club's fastest swimmers performed a 50m freestyle swim in a regular spandex bodysuit and in a Speedo Fastskin suit. The table below summarizes their times in seconds (s). Swimmer spandex Speedo Fastskin 1 29.1 2 28.9 30.4 3 31.4 32.0 4 34.9 31.7 5 27.7 28.2 6 36.7 32.9 7 33.3 28.6 8 2. 31.1 30.8 26.2 Perform a t-test for dependent means to determine if there is a difference between the regular spandex suit and the Fastskin bodysuit in terms of performance. 3. t= 4. df = 5. Critical value of t = (use alpha = 0.05) 6. Would you reject the null hypothesis? 8 points 1. QUESTION 2 A study comparing the resting heart rate of four different types of elite athletes recruited: 10 cyclists, 10 triathletes, 10 soccer players, and 10 baseball players. The resting heart rate of each athlete was measured, and the following hypothesis was tested using ANOVA: "Type of sport is a factor in elite athletes' resting heart rate." The BETWEEN groups sum of squares was calculated to be 1,763, and the WITHIN groups sum of squares was calculated to be 15,859. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places. 4 points QUESTION 3 1. Previous studies suggest that vegetarians may not receive enough zinc in their diets. As the zinc requirement is particularly important during pregnancy, researchers conducted a study to determine whether vegetarian pregnant women are at greater risk from low zinc levels than are nonvegetarian pregnant women. 24 women were monitored. The following table presents the zinc levels (ug/g) in the hair of three groups of women. (Data from J. C. King. Nutrition 34 (1981): 1049-1055.) Pregnant nonvegetarians Pregnant vegetarians Nonpregnant vegetarians 185 171 139 189 174 172 187 186 198 181 171 177 176 150 163 207 125 153 210 189 179 174 184 160 How many degrees of freedom for the Between Groups calculation? How many degrees of freedom for the Within Groups calculation? F= Critical value of F = (use alpha = 0.05) Should you reject the null hypothesis? 10 points QUESTION 4 1. FIREARM DEATHS Download the Excel file Firearm.xls for use in this question. The number of deaths due to firearms in the United States between 1968 and 1993 are given in the Excel file. Answer the following using the research hypothesis, "there is a correlation between year and number of firearm deaths in the US." A. What is the value of the correlation coefficient between year and number of firearm deaths? (Answer to 3 decimal places) B. How many degrees of freedom does your data have? C. What is the critical value of your test statistic? D. Is there evidence of a significant trend in firearm deaths over this period? (yes/no) Swimmer spandex Speedo Fastskin 1 31.1 29.1 2 28.9 30.4 3 31.4 32 4 34.9 31.7 5 27.7 28.2 6 36.7 32.9 7 33.3 28.6 8 30.8 26.2 D D6^2 2 -1.5 -0.6 3.2 -0.5 3.8 4.7 4.6 4 2.25 0.36 10.24 0.25 14.44 22.09 21.16 Sum D Sum D^2 df 15.7 74.79 7