Question

Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 75 and a standard deviation of 5. Use the 68-95-99.7 rule to find the following quantities.a. The relative frequency of rates less than 85 using the 68-95-99.7 rule is _____.

Answer 1

Answer:

99.8 %

Step-by-step explanation:

μ   =  75         and    σ  =  5

The information about 68-95-99.7  rule is:

μ   ±    0,5σ             68.3 % of all values  will be in the interval

[  μ - 0,5σ  ;  μ  + 0,5σ   ]      [  72.5 : 77,5  ]

μ   ±    1σ                  95 %  of all values  will be in the interval

[  μ - 1σ  ;  μ  +  1σ   ]      [   70  :  80  ]

And:

μ   ±    1,5σ               99.7 %  of all values  will be in the interval

[  μ - 1.5σ  ;  μ  +  1.5σ   ]   [ 67,5  :  82,5  ]

And still 85 is bigger than 82,5 we can conclude that approximately 99.8 % will be smaller than 85 and then "the relative frecuency of rates less than 85 is very high 99.8 %