Question

Calculate the z-value using the following information: Xˉ=100

μ=75σ Xˉ=4
​
a. 6.25
b. 12.5
c. −12.5
d. −6.25
Calculate the z-value using the following information:
Xˉ=105
μ=103σ
Xˉ=8
a. -0.25
b. 0.25
c. −.71
d. 0.71

Answer 1

To calculate the z-value, use the formula: z = (Xˉ - μ) / σ. For the first question, the z-value is 6.25. For the second question, the z-value is 0.25.

Step-by-step explanation:

To calculate the z-value, we can use the formula: z = (Xˉ - μ) / σ, where Xˉ is the sample mean, μ is the population mean, and σ is the population standard deviation. Let's calculate the z-values for the given information:

For the first question:

Xˉ = 100, μ = 75, σ = 4

z = (100 - 75) / 4 = 25 / 4 = 6.25

So, the z-value is 6.25.

For the second question:

Xˉ = 105, μ = 103, σ = 8

z = (105 - 103) / 8 = 2 / 8 = 0.25

So, the z-value is 0.25.