Question

In a sample of n = 29 with a mean of -49 and SD of 11, what
x value corresponds to z = -1.36?

Answer 1

To find the x-value corresponding to a given z-score in a normal distribution, use the formula x = mean + (z-score * standard deviation).

Step-by-step explanation:

In a normal distribution, the z-score measures how many standard deviations an x-value is from the mean. To find the x-value corresponding to a given z-score, we can use the formula:

x = mean + (z-score * standard deviation)

In this case, the mean (μ) is -49 and the standard deviation (σ) is 11. The given z-score is -1.36. Plugging the values into the formula, we have:

x = -49 + (-1.36 * 11) = -49 - 14.96 = -63.96

Therefore, the x-value that corresponds to a z-score of -1.36 is approximately -63.96.