12. An agricultural researcher studies the yield of a new variety of yellow corn. Assume that the yield per acre for the new variety of yellow corn follows a normal distribution with an unknown mean and a population standard deviation of = 10 bushels per acre. The researcher plants 36 plots.

If the average yield for these 36 plots is 150 bushels per acre, what is the 90% confidence interval for the mean yield per acre for the new variety of yellow corn? Recall that z=1.645 for 90% confidence.

Group of answer choices

a. (149.3, 150.6)

b. (146.7, 153.3)

c. (146.5, 153.4)

d. (147.3, 152.7)