Question

For a population, N=13,000, μ=134, and σ=26. Find the z value for x¯=128.60 for n=64.

Answer 1

The z value is - 1.661538

Explanation:

The rule of the z-score for the population is z = ( x¯ - μ)/(σ/√n)

∵ x¯ = 128.60

∵ μ = 134

∵ σ = 26

∵ n = 64

- Substitute all of these values in the rule above to find z

∵
`z=((128.60-134))/((26)/(√(64)))`

- Simplify up and down

∴
`z=(-5.4)/((26)/(8))`

∴
`z=(-5.4)/(3.25)`

∴ z = - 1.661538

The z value is - 1.661538