Question

In: Statistics and Probability

Consider a normal population with μ = 40 and σ = 4.2. Calculate the z-score for...

Consider a normal population with μ = 40 and σ = 4.2. Calculate the z-score for an x of 49 from a sample of size 15. (Give your answer correct to two decimal places

Expert Solution

Solution :

Given ,

mean = = 40

standard deviation = = 4.2

n=15

=49

= 40

= / n = 4.2/15=1.0844

using z-score formula

z = - /

z=49-40/1.0844

z=8.30

z-score=8.30

(B) when n is not given than

using z-score formula

z =X -/

z=49-40/4.2

z=2.14

z-score=2.14

orchestra answered 1 year ago

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