Final answer:
The new mean after the transformation is 88, and the new standard deviation is 9.6. None of the provided options match these calculated values, so the correct answer is E) none of the above.
Step-by-step explanation:
The transformation applied to the test scores is a linear transformation of the form Y = a + bX, where a and b are constants, X is the original score, and Y is the transformed score. In this case, a = 40 and b = 0.8. When a linear transformation is applied, the new mean (μ_Y) can be calculated using μ_Y = a + b μ_X, and the new standard deviation (σ_Y) is σ_Y = |b| σ_X.
The original mean (μ_X) is 60 and the original standard deviation (σ_X) is 12. Therefore, the new mean is 40 + 0.8(60) = 88 and the new standard deviation is |0.8| × 12 = 9.6.
However, the options provided in the question seem to have a typo, as none of the options match the calculated new mean and standard deviation of 88 and 9.6 respectively. Therefore, the correct answer is E) none of the above.