wildlife researchers want to estimate the average wingspan of red tail hawks in

Question

wildlife researchers want to estimate the average wingspan of red tail hawks in Oklahoma.  Twenty-four hawks were measured with wings fully expanded.  The sample yielded a mean of 22.4 inches and a standard deviation of 1.4 inches.  Construct a 99% confidence interval to estimate the average wingspan in inches of red tail hawks in Oklahoma.  Give the basic equation, please show the work with rounded to two digits past the decimal.  Thank you

Explanation / Answer

99% confidence interval --> p-value of .005 Using a z-table, we get z = - 2.575 to 2.575. z = (Z - mean) / (stdev / sqrt(sample size)) = (Z - 22.4) / (1.4 /sqrt(24)) This means that the abs(Z - mean) must be (1.4 / sqrt(24)) * 2.575= .74 Confidence interval = [22.4 - .74, 22.4 + .74] = [21.66, 23.14]

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