SOLUTION: Suppose a simple random sample of size n = 34 is obtained from a population with μ = 30 and σ = 4.
a) Is the sampling distribution of x approximately normal.
b) W
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-> SOLUTION: Suppose a simple random sample of size n = 34 is obtained from a population with μ = 30 and σ = 4.
a) Is the sampling distribution of x approximately normal.
b) W
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Question 328041: Suppose a simple random sample of size n = 34 is obtained from a population with μ = 30 and σ = 4.
a) Is the sampling distribution of x approximately normal.
b) What is P(x > 30.2)?
c) What is P(x ≤ 30.6)?
d) What is P(28.7 ≤ x ≤ 31.1)
You can put this solution on YOUR website! Suppose a simple random sample of size n = 34 is obtained from a population with μ = 30 and σ = 4.
a) Is the sampling distribution of x approximately normal. Yes
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b) What is P(x > 30.2)?
z(30.2) = (30.2-34)/4 = -3.8
P(x > 30.2) = P(z > -2.8) = 0.9974
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c) What is P(x ≤ 30.6)?
z(30.6) = (30.6-34)/4 = -3.4
P(x <= 30.6) = P(z <= -3.4) = 0.000337
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d) What is P(28.7 ≤ x ≤ 31.1)
z(31.1) = (31.1-34)/4 = -2.9
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z(28.7) = (28.7-34)/4 =-5.3
P( 28.7 <= x <= 31.1) = P(-5.3 <= z <= -2.9)= 0.0019
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Cheers,
Stan H.
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