Statistics

QUESTION The weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30 are shown in the following table. Assume that weight and blood pressure are jointly normally distributed. Subject Weight Systolic UP] Subject Weight Systolic BP 130 14 172 153 130 13 159 128 130 16 FEI IT 174 149 212 151 183 158 175 146 19 213 150 190 150 20 195 163 210 140 21 180 136 200 148 143 124 10 149 125 23 240 170 11 133 24 235 165 12 189 134 192 160 13 170 150 187 159 (a) Use R to find Pearson correlation coellicient. (7) 5 (b) Test the hypothesis that p = 0.6. (B) (c) Another researcher repeated the same experiment using 20 females and found a correlation coefficient of p - 10.815 (between weight and systolic BP). (i) Construct a 93%% confidence interval for the difference between the two correlations.(10) [i) Test at the 3%% level of signficance that women have a higher positive correlation than men. (10) [38] [150]