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E Confidence Intervals and Hypothesis Testing Introduction to constructing a confidence interval for a population mean... vs Kersten V V Espanol You are a researcher studying the health habits of people living in a large rural area. In particular, you are interested in the amount of weight gained early in life. You want to estimate the population mean of all weight gains for the area's baby boys in their first year. To estimate the population mean of all such weight gains, you select a random sample of 15 baby boys from this area and you record the weight (in kg) each gained in their first year. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 95% confidence interval of the weight gains in the first year for all the area's baby boys. (If necessary, consult a .) (a) Click on "Take Sample" to see the results for your random sample. Number of baby boys Sample mean Sample standard deviation Take Sample 15 5.658 1.869 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: 5 X Standard error: Point estimate: Sample standard deviation: Marain of error: Confidence Critical value Explanation Check 2025 McGraw Hill. Terms of Use | Privacy Center | Accessibility 95% confidence interval: 95% 10.025 = 2.145 Compute 90% 0.050 = 1.761 (b) Based on your sample, enter the lower and upper limits to graph the 95% confidence interval for the population mean of the weight gains in the first year for all the area's baby boys. 0.000 10.000 0.000 2.000 4.000 6.000 8.000 10.00 X