Question

A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer from the drop-down menu to correctly complete the statement. Based on the mean of 70 and his raw score of 55, Todd’s z-score must be

Answer 1

Todd's Z-score is - 0.27

Explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score 'x' = 55

Todd's Z-score

`Z = (x-mean)/(S.D)`

`Z = (55-70)/(55)`

Z = -0.27

Final answer:-

Todd's Z-score is - 0.27