Question

Use the z-score formula, z=x-μσ, and the information below to find the value of σ. Round your answer to one decimal place, if necessary. z=-3.30, x=15.02, and μ=22.28

Answer 1

To find the value of σ using the z-score formula, rearrange the formula to solve for σ. Plugging in the given values, we can calculate that σ ≈ 2.21 (rounded to one decimal place).

Step-by-step explanation:

To find the value of σ using the z-score formula, we can rearrange the formula to solve for σ. The formula is z = (x - μ) / σ, where z is the z-score, x is the value, μ is the mean, and σ is the standard deviation. Rearranging the formula, we get σ = (x - μ) / z. Plugging in the given values, we have σ = (15.02 - 22.28) / -3.30. Calculating this, we find that σ ≈ 2.21 (rounded to one decimal place).