A professor administers a standardized test that has a µ = 50 and σ = 6. Her class of 31 students (n = 31) has an average score of 55.
Calculate the z observed for the z test comparing the class mean to the population mean.
Solution :
Given that,
mean = = 50
standard deviation = = 6
n = 31
= 55
Test statistic = z =
= ( - ) / / n
= (55 - 50) / 6 / 31
Test statistic = z = 4.64
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