A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with $\mu =521$. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 528 with a standard deviation of 116 . Complete parts (a) through (d) below.

Find the P-value.
The P-value is 0.005
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
A. No, because the $\mathrm{P}$-value is less than $\alpha =0.10$
B. Yes, because the P-value is greater than $\alpha =0.10$.
C. Yes, because the P-value is less than $\alpha =0.10$
D. No, because the P-value is greater than $\alpha =0.10$.