Wildlife researchers want to estimate the average wingspan of redtail hawks in O

Question

Wildlife researchers want to estimate the average wingspan of redtail hawks in Oklahoma. Twenty four hawks were measured with wingsfully expanded. The sample yielded a mean of 22.4 inches anda standard deviation of 1.4 inches. Construct a 99%confidence interval to estimate the average wingspan in inches ofred tail hawks in Oklahoma. Answer: [21.66, 23.14]. Now if I had constructed a confidence intervalassociated with 95% confidence rather than 99%, would the 95%interval be wider or more narrow than the 99% interval? Whatpart of the equation to build a confidence interval causes thisdifference in width for various confidence levels?

Explanation / Answer

With a lower confidence level, the z* or t* in the margin oferror formula is smaller, so the margin of error decreases.

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