Solve the problem.
Suppose a random variable x is best described by a normal distribution with μ = 60 and Find the z-score that corresponds to the value x = 69.
Z = (score-mean)/SD
You need the value of the standard deviation (SD) to calculate Z.
To find the z-score that corresponds to the value x = 69, we can use the formula for the z-score:
z = (x - μ) / σ
where x is the value being considered, μ is the mean of the distribution, and σ is the standard deviation.
Given that μ = 60 and σ is not provided, we cannot directly calculate the z-score. We need the value of σ in order to proceed.
To solve this problem, we need to use the formula for the z-score:
z = (x - μ) / σ
where μ is the mean of the distribution and σ is the standard deviation.
In this case, we are given that μ = 60. However, we still need to know the value of σ to calculate the z-score. The problem statement does not provide this information. The standard deviation is essential for finding the z-score.
If you have access to the standard deviation (σ), you can plug in the values into the formula to find the z-score.