Question: Crop researchers plant 34 plots with a new variety of corn. The average yield in bushels per acre is 123.33. (Assume ? = 15)

a) What is the shape of the sampling distribution of \[\bar{x}\] ? Explain. (1pt)

b) Find the 90% confidence interval for the mean yield ? for this variety of corn. (2pts)

c) Find the 95% confidence interval. (2pts0

d) Find the 99% confidence interval. (2pts)

e) How do the margins of error change as the confidence level increases? (3pts)