Question

In the United States, heart disease and cancer are the two leading causes of death. If you look at the death rate per 100,000 residents by state, the distributions for the two diseases are roughly normal, provided you leave out Alaska and Utah, which are outliers because of their unusually young populations. The means and standard deviations for all 50 states are given here. Mean SD Heart disease 219 46 Cancer 194 30 a. The middle 90% of the states' death rates from heart disease fall between what two numbers? About to b. The middle 68% of death rates from heart disease fall between what two numbers? About

Answer 1

C2 - 219 then 20 a. Plc < X <C2) = 0.90 or. P (41 - 219 X – 219 C2 - 219) 46 S46346) = 0.90 col C2 – 219) - 0 (4-219) = 0.90 46 4 6 ) . Since standard normal distribution is symmetric about 0 so C2 - 21901-219 46 46 02-219 1-1=0.90 or, 46 ) = 1.90/2 = 0.95 46 / = (1.6449) or, C2 = 219+1.6449* 46 = 294.6654 then c = 219 - 1.6449 * 46 = 143.3346 Ans: About 143.3346 to 294.6654. 6. P(c<<c2) = 0.68 C2 - 2190 01 - 219 -0.98 P( 46 ) 46 ) . Tale C2 - 219 Take, C1 - 219 46 46 1-1=0.68 or, o 46 -) = 1.68/2 = 0.84 46 / = $(0.9945) or, c = 219 +0.9945 * 46 = 264.7470 then c = 219 - 0.9945 * 46 = 173.253 Ans: About 173.2530 to 264.7470. or, 02-219 C2 - 219 02-219 then 20