Question
In: Statistics and Probability
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 2 years agoRelated Solutions
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