Provide the Z score and the critical value. Raw score of 112, population mean 89, Std. of the population (22.8)
Z = (score-mean)/SD
To find the Z score and the critical value, we first need to calculate the Z score using the formula:
Z = (X - μ) / σ
Where:
X = raw score
μ = population mean
σ = standard deviation of the population
In this case, the raw score is 112, the population mean is 89, and the standard deviation of the population is 22.8. Plugging these values into the formula, we can calculate the Z score:
Z = (112 - 89) / 22.8
Z = 23 / 22.8
Z ≈ 1.01
Therefore, the Z score is approximately 1.01.
To find the critical value, we need to know the significance level (α) and whether the test is one-tailed or two-tailed. The critical value represents the point where we reject the null hypothesis.
If you provide the significance level and whether it is a one-tailed or two-tailed test, I can help you find the exact critical value.