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5. Pioneer is testing a new formula for its line of wheat grains. Under its current formula, the average yield per acre is 41.2
bushels. Using a random sample of 40 acres, Pioneer found the mean yield using the new formula was 39.4 bushels with
a standard deviation of 4.3 bushels.
(a) Do these data provide good evidence at the 1% significance level the new formula produces a different yield?
(b) Interpret a Type I error in the context of the data.