1) 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 66. Suppose it is known that the population standard deviation is 7. You test whether there is significant evidence that the population average differs from 67, using a level of significance of 4%. Choose the most correct statement. Note: You will have to calculate the test statistic by hand, but you can use R to get your pvalue.

a.Your pvalue statement is 2P(Z > 1.43 ), your pvalue is 0.1531 and your decision is to fail to reject Ho

b.Your pvalue statement is 2P(Z > 1.43 ), your pvalue is 0.1531, and your decision is to reject Ho.

c.Your pvalue statement is 2P(Z > 1.43), your pvalue is 0.0766 and your decision is reject Ho.

d.Your pvalue statement is 2P(Z > 1.43), your pvalue is 0.3062 and your decision is to fail to reject Ho.