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PRACTICE FINAL 2. A study finds that men 20-30 in the united states have heights and weights that are approxi- mately normally distributed. Height in
PRACTICE FINAL 2. A study finds that men 20-30 in the united states have heights and weights that are approxi- mately normally distributed. Height in this group has an average of 70 inches with a standard deviation of 5 inches. Weight in this group has an average of 170 lb with a standard deviation of 15 pounds. The correlation coefficient between weight and height is r-0.5, and the scatter plot of heights and weights is approximately football shaped. Consider the subgroup of men 20-30 in the united states with height exactly 75 inches. (1) What is the approximate average weight of people in this subgroup. (ii) What is the approximate standard deviation for the weight of people in this group. (iii) About what percent of people in this group weigh more than 200 pounds? PRACTICE FINAL 2. A study finds that men 20-30 in the united states have heights and weights that are approxi- mately normally distributed. Height in this group has an average of 70 inches with a standard deviation of 5 inches. Weight in this group has an average of 170 lb with a standard deviation of 15 pounds. The correlation coefficient between weight and height is r-0.5, and the scatter plot of heights and weights is approximately football shaped. Consider the subgroup of men 20-30 in the united states with height exactly 75 inches. (1) What is the approximate average weight of people in this subgroup. (ii) What is the approximate standard deviation for the weight of people in this group. (iii) About what percent of people in this group weigh more than 200 pounds
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