We are managing a large soy bean farm. To estimate our revenues for the coming year,

we need to estimate our crop yield. Soy bean yields are measured by pods/plant. We are
planning for a yield of 40 pods/plant.
a. We take a random sample of 64 soy bean plants and get a sample mean yield of 38.6
pods/plant with a sample standard deviation of 4.8 pods/plant. Assuming that our
population pods/plant is 40, what is the probability of obtaining the sample we got or one
that varies more in the same direction from the assumed mean? (Use Minitab.)

1 answer

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.