Answer:
To find the standard deviation of a normal distribution, we can use the formula for z-score:
z = (x - μ) / σ
where z is the z-score, x is the value, μ is the mean, and σ is the standard deviation.
Given that the z-score is -1.63 for a value of 23, we can rearrange the formula to solve for the standard deviation σ:
σ = (x - μ) / z
Plugging in the values, we have:
σ = (23 - 35) / -1.63
σ ≈ 7.36 (rounded to two decimal places)
Therefore, the correct answer is OC. 7.36.