Weights of 1-year-old male children are fairly normally distributed with mean 26 pounds, standard deviation 3 pounds.
a. Use the 68-95-99.7 Rule to sketch a curve for this distribution, marking off the weights that are within 1, 2, and 3 standard deviations of the mean.
b. Find the z-score for a male 1-year-old who weighs 20 pounds.
c. Find the weight (to the nearest pound) of a 1-year-old male whose z-score is 1.67.
d. What percentage of male 1-year-olds weigh less than 20 pounds?
e. Would a 19-pound, 1-year-old male be considered pretty light, pretty heavy, or fairly typical?
f. Would a 28-pound, 1-year-old male be considered pretty light, pretty heavy, or fairly typical?