Population mean = 80
standard deviation = 20
sample = 60
what is the probability that the sample mean will be between84
and 88?

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 =

z2 = {(88) - μ}/σ_mean =

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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step-by-step explanation:

2 tens + 6 ones

1 ten + 16 ones

0 tens + 26 ones