An agricultural researcher plants 100 plots with a new variety of corn. The sample average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown population mean and known population standard deviation 20 bushels per acre. Which of the following would produce a confidence interval with a smaller margin of error (narrower interval) than the 90% confidence interval you computed above? Plant only 25 plots rather than 100 because 25 are easier to manage and control Plant 500 plots rather than 100 Compute a 99% confidence interval rather than a 90% confidence interval. The increase in confidence indicates that we have a better interval None of the above
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Step 1: The formula for the margin of error in a confidence interval for the mean is given by: \[ ME = \frac{z \cdot \sigma}{\sqrt{n}} \] where ME is the margin of error, z is the z-score corresponding to the confidence level, σ is the population standard Show more…
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An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with an unknown mean and standard deviation of 10 bushels. A 90% confidence interval for μ is 150 ± 2.00(6) = 150 ± 12 = 138 to 162. A 90% confidence interval for μ is 150 ± 1.645(10) = 150 ± 16.45 = 133.55 to 166.45. A 90% confidence interval for the mean μ of a population is computed from a random sample and is found to be 9 to 13. Which of the following could be the 95% confidence interval based on the same data? (b) 9 to 14. There is a standard weight that is known to weigh 1 gram. The laboratory scale may vary.
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An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown mean and standard deviation s = 10 bushels. Find the margin of error for a 90% confidence interval for straight mu is
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