Heights of men on a baseball team have a bell-shaped distribution with a mean of 169 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 151 cm and 187 cm. b. 160 cm and 178 cm.

Question

Heights of men on a baseball team have a bell-shaped distribution with a mean of 169 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 151 cm and 187 cm.  b. 160 cm and 178 cm.

Please help I do not understand how to compute this! Thank you for your assistance.

PsyDAG · Answer

Z = (score-mean)/SD

Do you know the 68-95-99.7 rule? Approximately 68% of scores in normal distribution are within one standard deviation (Z)(34% on each side of the mean), 95% within 2 SD, and 99.7% within 3 SD.