X=μ+Z×σ
Solution :
Given that,
Using standard normal table,
P(-z < Z < z) = 94%
P(Z < z) - P(Z < z) = 0.94
2P(Z < z) - 1 = 0.94
2P(Z < z ) = 1 + 0.94
2P(Z < z) = 1.94
P(Z < z) = 1.94 / 2
P(Z < z) = 0.97
z = 1.88 and z = -1.88
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