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]
