The Manitoba Department of Agriculture would like to estimate the average yield

Question

The Manitoba Department of Agriculture would like to estimate the average yield per acre of a new variety of corn for farms in southwestern Manitoba. It is desired that the final estimate be within five bushels per acre of the true mean yield. Due to cost restraints, a sample of no more than 65 one-acre plots of land can be obtained to conduct an experiment. The population standard deviation is known to be 17.33 bushels per acre. What is (approximately) the maximum confidence level that could be attained for a confidence interval that meets the Agriculture Department's specification? 90% 95% 96% 98% 99%

Explanation / Answer

5=z*17.33/sqrt(65)

thus z is 2.32

therefore, from the z table, the value of 2.32 corresponds to confidence of 98% . answer is D

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