Final answer:
The provided information deals with calculating z-scores in statistics. Given a value of x and the mean and standard deviation of a distribution, the z-score can be found algebraically. An example was shown where x = 1 led to a z-score of -0.67.
Step-by-step explanation:
The question provided seems to be related to the concept of z-scores in statistics, which measure the number of standard deviations an element is from the mean of a distribution. Specifically, the question discusses the situation when x = 17 and the relation to its position in a normal distribution, indicating it is two standard deviations to the right of the mean. Then, for a different value of x, it asks for the z-score, and follows the methodology of calculating this score by using the example of x = 1.
Using the provided formula, if x = 1, then the z-score is calculated by subtracting the mean from the value and dividing by the standard deviation. Given that the pattern is μ + Zσ = x, and following the question's example, the z-score can be determined algebraically. When x = 1, we see that z = (1 - μ) / σ = (1 - 5) / 6 = -4 / 6, which, when rounded to two decimal places, gives a z-score of -0.67.