Question

Suppose x + ~ + n(–3, +1). Between what x values does 34.14% of the data lie?

a. (-3, -2.49)
b. (-2.5, -2)
c. (-2, -1.51)
d. Not Applicable

Answer 1

To find the x values between which 34.14% of the data lies, calculate the z-scores for the lower and upper bounds of the desired percentile and use the formula x = mean + (z * standard deviation) to find the x values.

Step-by-step explanation:

To find the x values between which 34.14% of the data lies, we need to calculate the z-scores for the lower and upper bounds of the desired percentile. The z-score corresponding to a percentile can be found using a standard normal distribution table or a calculator. For 34.14%, the z-score is approximately -0.444.

Using the formula for z-scores, we can calculate the x values:

x = mean + (z * standard deviation)

For the lower bound, x = -3 + (-0.444)(1) = -3.444. For the upper bound, x = -3 + (0.444)(1) = -2.556.