Please, answer both questions An agricultural researcher plants 25 plots with a

Question

Please, answer both questions

An agricultural researcher plants 25 plots with a new variety of yellow corn. Assume that the yield per acre for the new variety of yellow corn follows a Normal distribution with an unknown mean of mu and a standard deviation of sigma = 10 bushels per acre Which of the following would produce a confidence interval with a smaller margin of error than the 90% confidence interval? Plant only five plots rather than 25 because five are easier to manage and control. Plant 10 plots rather than 25 because a smaller sample size will result in a smaller margin of error. Plant 100 plots rather than 25 because a larger sample size will result in a smaller margin of error. Compute a 99% confidence interval rather than a 90% confidence interval because a higher confidence level will result in a smaller margin of error. The heights of a simple random sample of 400 male high school sophomores in a Midwestern state are measured. The sample mean is x = 66.2 inches. Suppose that the height

Explanation / Answer

Q10.

Margin of Error = Z a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
Za/2 = Z-table value

sample size is inversely proportional to margin of error, when decreasing the sample size
increases the margin of error

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