A random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 55.5. Suppose it is known that the population standard deviation is 3. Use R to help you test, with a significance level of 0.01, whether there is significant evidence that the average grade for the population exceeds 55. Choose the most correct statement.

a. You test Ho: < 55 versus Ha: > 55 and you obtain a p-value of 0.048 (TO 3 DECIMALS) and the result is not significant.

b. You test Ho: <= 55 versus Ha: > 55 and you obtain a pvalue of 0.048 (TO 3 DECIMALS) and the result is significant.

c. You test Ho: > = 55 versus Ha: < 55 and you obtain a p-value of 0.048 (TO 3 DECIMALS) and the result is not significant.

d. You test Ho: <= 55 versus Ha: > 55 and you obtain a p-value of 0.048 (TO 3 DECIMALS) and the result is not significant.