1. The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.59 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 2. The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.1 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 3. The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches. What value is one standard deviation below the mean? inches What value is one standard deviation above the mean? inches What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches? percent 4. What is the z-score of a value of 27, given a set mean of 24, and a standard deviation of 2? 5. The scores on a standardized test are normally distributed w/ a mean of 110 and standard deviation of 5. What test score is 2.4 standard deviations above the mean? 6. A normal distribution has a mean of 126 and a standard deviation of 5. Find the z-score for a data value of 126. (Round to two decimal places) 7. A normal distribution has a mean of 142 and a standard deviation of 10. Find the z-score for a data value of 173. (Round to two decimal places) 8. The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.64 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 9. The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches. What value is one standard deviation below the mean? inches What value is one standard deviation above the mean? inches What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches? percent 10. What is the z-score of a value of 27, given a set mean of 24, and a standard deviation of 2? 11. The scores on a standardized test are normally distributed w/a mean of 110 and standard deviation of 10. What test score is 2 standard deviations above the mean