document.write( "Question 1160934: Heights of men on a baseball team have a bell-shaped distribution with a mean of 172 cm and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
\n" );
document.write( "a. 154 cm and 190 cm
\n" );
document.write( "b. 160 cm and 184 cm \n" );
document.write( "
Algebra.Com's Answer #852183 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Heights of men on a baseball team have a bell-shaped distribution with a mean of 172 cm \n" ); document.write( "and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage \n" ); document.write( "of the men between the following values? \n" ); document.write( "a. 154 cm and 190 cm \n" ); document.write( "b. 160 cm and 184 cm \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(a) Interval [154,190] is three standard deviations from the mean.\r\n" ); document.write( "\r\n" ); document.write( " So, the empirical rule for 3 standard deviations is applicable in this case,\r\n" ); document.write( "\r\n" ); document.write( " giving the ANSWER that the height of approximately 99.7% of the men is in this interval.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) Interval [160,184] is two standard deviations from the mean.\r\n" ); document.write( "\r\n" ); document.write( " So, the empirical rule for 2 standard deviations is applicable in this case,\r\n" ); document.write( "\r\n" ); document.write( " giving the ANSWER that the height of approximately 95% of the men is in this interval.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |