Question

Find the data value with a z-score of 2.3 that comes from a population with mean of μ = 10 and standard deviation of σ = 1.4.

A) 14.22
B) 13.8
C) 13.2
D) 12.3

Answer 1

To find the data value with a z-score of 2.3 from a population with a mean of 10 and standard deviation of 1.4, we use the formula x = μ + z × σ, yielding x = 13.22. The closest answer choice is C) 13.2.

Step-by-step explanation:

The student is asking to find the data value that corresponds to a z-score of 2.3, given a population with a mean (μ) of 10 and a standard deviation (σ) of 1.4. To find this data value, we use the formula:

x = μ + z × σ

Plugging in the given values, we get:

x = 10 + 2.3 × 1.4

x = 10 + 3.22

x = 13.22

So the correct answer is C) 13.2, which is the value closest to our calculated result of 13.22.