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 58. Suppose it is known that the population standard deviation is 5. 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 is below 59. Which of the following statements is most correct?

a.Your pvalue is 0.023 and you cannot reject your null hypothesis.

b.Your pvalue is 0.977 and you cannot reject your null hypothesis.

c.Your pvalue is 0.023 and you can reject your null hypothesis.

d.Your pvalue is 0.977 and you can reject your null hypothesis