A what is the best point estimate of the mean body tempature
Solution
Note that              
 Margin of Error E = z(alpha/2) * s / sqrt(n)              
 Lower Bound = X - z(alpha/2) * s / sqrt(n)              
 Upper Bound = X + z(alpha/2) * s / sqrt(n)              
               
 where              
 alpha/2 = (1 - confidence level)/2 =    0.005          
 X = sample mean =    98.3          
 z(alpha/2) = critical z for the confidence interval =    2.575829304          
 s = sample standard deviation =    0.54          
 n = sample size =    109          
               
 Thus,              
 Margin of Error E =    0.133228639          
 Lower bound =    98.16677136          
 Upper bound =    98.43322864          
               
 Thus, the confidence interval is              
               
 (   98.16677136   ,   98.43322864   ) [ANSWER]
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As we can see, NO, IT DOES NOT CONTAIN 98.6. [ANSWER]

