5) An experiment is designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 and 32 weeks gestation. The data are shown in Table 7-53. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. Back Side 140 144 146 141 139 Mean=14 2 141 143 145 144 136 Mean=141.8 Sitting 144 145 147 148 144 Standin g 147 145 148 149 145 Mean=145.6 Mean=146.8 15) A study is conducted to compare mean cholesterol levels for individuals following a low-carbohydrate diet for at least 6 months to individuals following a conventional (low fat, low calorie) diet for at least 6 months. The data are summarized in Table 7-59. Test if there is a significant difference in mean cholesterol levels between the diet programs using a 5% level of significance. 16) Another outcome variable in the study described in Problem 15 is hypercholesterolemia, defined as total cholesterol over 220. Among the individuals who follow the low-carbohydrate diet, 56% are hypercholesterolemic, and among the individuals who follow the conventional diet, 40% are hypercholesterolemic. Test if there is a significant difference in the proportions using a 5% level of significance