find z scorepopulation mean : 20000sampling mean :22000sample size :35population deviation :5000right tailsignificance level :0.05Group of answer choices-2.36-1.642.361.64
Question
find z scorepopulation mean : 20000sampling mean :22000sample size :35population deviation :5000right tailsignificance level :0.05Group of answer choices-2.36-1.642.361.64
Solution
To find the z-score, we can use the formula:
z = (X - μ) / (σ / √n)
where: X = sample mean μ = population mean σ = population standard deviation n = sample size
Substituting the given values:
z = (22000 - 20000) / (5000 / √35)
z = 2000 / (5000 / √35)
z = 2000 / (5000 / 5.92)
z = 2000 / 844.43
z = 2.37
So, the closest answer from the given choices is 2.36.
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