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My name is Ann [436]
3 years ago
15

Population mean = 80

Mathematics
1 answer:
alexira [117]3 years ago
4 0

Answer:

The answer is : 0.0597

Step-by-step explanation:

Population mean = μ = 80

Standard deviation = σ = 20

Sample = N = 60

σ_mean = σ/√N

= (20)/√(60) = 2.582

Now we will find z1 and z2.

z1 = {(84) - μ}/σ_mean = {(84)-(80)}/(2.582)= 1.549

z2 = {(88) - μ}/σ_mean = {(88)-(80)}/(2.582)= 3.098

Now probability that the sample mean will be between 84 and 88 is given by:

Prob{ (1.549) ≤ Z≤ (3.098) } = (0.9990) -(0.9393) = 0.0597

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