For a population with a standard deviation of σ = 10, a score of X = 44 corresponds to z = –0.50. What is the population mean?

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Answer 1 · 2017-01-05T08:50:25

The population mean is #=49#

The z-score is

#z=(x- mu)/(sigma)#

#z=-0.5#

#x=44#

#sigma=10#

Therefore,

#-0.5=(44-mu)/10#

#-5=44-mu#

#mu=44+5=49#