Certainly! Let's construct a 90% confidence interval estimate for the mean weight of newborn girls based on the given summary statistics: Sample Size (n): (n = 210) Sample Mean (x): (x = 32.6 , \text{hg}) Sample Standard Deviation (s): (s = 6.7 , \text{hg}) To create the confidence interval, we'll follow these steps: Calculate the Standard Error (SE): The standard error measures the variability of the sample mean. It's calculated as: [ SE = \frac{s}{\sqrt{n}} ] Plugging in the given values: [ SE = \frac{6.7}{\sqrt{210}} ] Calculating the standard error: [ SE \approx 0.460 , \text{hg} ] Find the Margin of Error (ME): The margin of error represents the range within which the true population mean is likely to fall. For a 90% confidence interval, we use the z-score corresponding to the 90% confidence level, which is approximately 1.645. [ ME = SE \times Z(0.90) ] [ ME \approx 0.460 \times 1.645 \approx 0.757 , \text{hg} ] Calculate the Confidence Interval: The confidence interval is given by: [ \text{Lower Bound} = x - ME ] [ \text{Upper Bound} = x ME ] Plugging in the values: [ \text{Lower Bound} = 32.6 - 0.757 \approx 31.843 , \text{hg} ] [ \text{Upper