Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution with μμ = 130 mg/dl and σσ = 20 mg/dl. What is the level L such that there is probability only 0.15 that the mean glucose level of 8 test results falls above L?
L=
Given that,
= / n = 20 / 8 = 7.07107
P(Z > 1.04) = 0.15
z = 1.04
= z * + = 1.04 * 7.07107 + 130 = 137.35
L = 137.35
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