Women have pulse rates that are normally distributed with a

Women have pulse rates that are normally distributed with a mean of 76.6 beats per minute and a standard deviation of 11.2 beats per minute.

a. Find the percentiles P₁ and Upper P₉₉.

Solution

a)

First, we get the z score from the given left tailed area. As          
          
Left tailed area =    0.01      
          
Then, using table or technology,          
          
z =    -2.326347874      
          
As x = u + z * s,          
          
where          
          
u = mean =    76.6      
z = the critical z score =    -2.326347874      
s = standard deviation =    11.2      
          
Then          
          
x = critical value =    50.54490381   [ANSWER, P1]

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First, we get the z score from the given left tailed area. As          
          
Left tailed area =    0.99      
          
Then, using table or technology,          
          
z =    2.326347874      
          
As x = u + z * s,          
          
where          
          
u = mean =    76.6      
z = the critical z score =    2.326347874      
s = standard deviation =    11.2      
          
Then          
          
x = critical value =    102.6550962   [ANSWER, P2]