The mean birth weight of preterm-birth babies is 390 gram (g) with a standard deviation of 86. A nursing student collects a sample of 42 preterm-birth babies, and wants to know the probability of the sample mean is higher than 380g. Which one of the following statement is correct?

Group of answer choices

A. The corresponding Z score is 0.75, and there is a 0.2266 probability this sample mean is higher than 380.

B. The corresponding Z score is -0.75, and there is a 0.7734 probability this sample mean is higher than 380.

C. The corresponding Z score is -0.75, and there is a 0.2266 probability this sample mean is higher than 380.

D. A binomial distribution is needed to obtain P(sample mean > 380), because birth weight is dichotomous variable.

E. None of the provided.