Answer :
Z-score of given data comes to be -5.30.
It is given that
Population mean μ= 310
Standard deviation σ= 20
Mean of sample data X= 295
Sample size n= 50
What is z-score?
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
For a hypothesis test
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (295-310)/(20/√50)
Z-score = -5.30
Therefore, Z-score of given data comes to be -5.30.
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