A farmer wants to know whether a new fertilizer has increased the mean weight of his apples With the old fertilizer, the mean weight was 4.0 ounces per apple. The farmer decides to test H0: µ = 4.0 ounces verses Ha: µ > 4.0 ounces, at a 5 percent level of significance, where µ is approximately normally distributed. The farmer takes a random sample of 16 apples and computes a mean of 4.3 ounces and a standard deviation of 0.6 ounces. Which of the following gives the p-value for the test?
(A) P (Z > 2)
(B) P (Z < 2)
(C) P (t > 2) with 15 degrees of freedom
(D) P (t < 2) with 15 degrees of freedom
(E) P (t > 2) with 16 degrees of freedom