35. A researcher wants to test whether the mean of a certain normally distributed population is 50, against the alternative that it is greater than 50. They are planning on drawing a random sample (n = 100). They know very little about statistics, and decide to simply reject the null hypothesis if the value of the sample mean is greater than 55. Suppose it is known that the population variance is 1600. What is the power of the test if the true population mean is 65? (Choose the closest value). (a) .01 (b) .923 (c) .962 x (d) .994 (e) .999