Question 1: A government studied the output of farms in their country over the c

Question

Question 1: A government studied the output of farms in their country over the course of a year in an attempt to understand the impact of new policies. They want to estimate the average change in yield from Jan. 1, 2015 to Dec. 31, 2015. A simple random sample of 70 farms (out of more than 700 total) was taken, and the percent change in total yield was measured over that period. A 95% confidence interval based on this sample is (-2%, 4.5%), which is based on the normal model for the mean.

Part A: Determine whether the following statements are true or false, and carefully explain your reasoning.

5. A 99% confidence interval would be narrower than the 95% confidence interval since we need to be more sure of our estimate.

Explanation / Answer

which is false, a 99% confidence interval would be wider than the 95% confidence interval since it has the higher z value and it gets the larger margin of error value

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