A farmer is trying out a planting technique that he hopes will increase the yield on his pea plants. The
average number of pods on one of his pea plants is 145 pods with a standard deviation of 100 pods. This
year, after trying his new planting technique, he takes a random sample of 35 plants and finds the
average number of pods to be 147. He wonders whether or not this is a statistically significant increase.
i. What would the null and alternative hypotheses be for this scenario?
ii. What would the standard error be for this particular scenario?
iii. Describe in your own words how you would set the critical regions and what they would be at
an alpha level of .05.
iv. Test the null hypothesis and explain your decision
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