Find the z-score for the sample mean for each of the following samples obtained from a...

Find the z-score for the sample mean for each of the following samples obtained from a population with µ = 60 and σ = 6.

a)M = 55 for a sample of n = 4

b)M = 65 for a sample of n = 9

Solutions

Expert Solution

Solution,

Given that,

mean = = 60

standard deviation = = 6

a) n = 4

= = 60

= / n = 6 / 4 = 3

M = 55

z = M - /

z = 55 - 60 / 3

z = -1.67

b) n = 9

= = 60

= / n = 6 / 9 = 2

M = 65

z = M - /

z = 65 - 60 / 2

z = 2.50

orchestra answered 1 year ago

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