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An agricultural researcher plants 25 plots with a new variety of corn that is drought resistant and hence potentially more profitable. The average yield for these plots is x = 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown mean ? and that a 95% confidence interval for ? is found to be 150 ± 3.29. Which of the following is true?
A) A test of the hypotheses H0: ? = 150, Ha: ? ? 150 would be rejected at the 0.05 level.
B) A test of the hypotheses H0: ? = 150, Ha: ? > 150 would be rejected at the 0.05 level.
C) A test of the hypotheses H0: ? = 160, Ha: ? ? 160 would be rejected at the 0.05 level.
D) All the above.
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