Solution :
Given that,
= / n = 12 / 36 = 2
= P[(75 - 75) /2 < ( - ) / < (78 - 75) / 2)]
= P(0 < Z < 1.5)
= P(Z < 1.5) - P(Z < 0)
= 0.9332 - 0.5
= 0.4332
population = 0.4332
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