Thread: Tchebyshev's therom

The results of a national survey showed that on average, adults sleep 6.9 hours per night.Suppose the standard deviation is 1.2 hours.a. Use the Tchebyshev's therom to calculate the percentage of individuals who sleep between 4.5 and 9.3 hours.b. Use the Tchebyshev's therom to calculate the percentage of individuals who sleep between 3.9 and 9.9 hours.c. Assume that the number of hours of sleep follows a bell-shaped distributions. Use the empirical rule to calculate the percentage of individuals who sleep between 4.5 and 9.3 hours per day. How does the result compare to the value that you obtained using Tchebyshev;s theorom in part (a)?

Originally Posted by lhotmer

Use the Tchebyshev's therom to calculate the percentage of individuals who sleep [SIZE=3][FONT=Arial] between 4.5 and 9.3 hours

How many standard deviations from the mean are these bounds?

For standard deviations then find