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.

Question

Mathematics

Julien Jarvis

21 April, 10:03

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.

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Answers (1)

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Roberto Werner · Answer 1

Z = 0.18

Step-by-step 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