Question

Imagine that a researcher appropriately collects data from 100 people from a particular population for variable X. He obtains a mean of 45.9 from these 100 people. He also knows that the population mean for variable X is 45 ( μ = 45 ) with a standard deviation of 5 ( σ = 5 ). Using this information, compute the z statistic.

Answer 1

Z = 0.18

Explanation:

The Z statistic measures the statistic observed and the parameter of the population and can be calculated by the equation:

Z = (x - μ)/σ

where μ is the mean , x is the borderline, and σ is the standard deviation. So:

Z = (45.9 - 45)/5

Z = 0.18