Exercise 2. A study is designed to test whether there is a difference in mean daily calcium intake in adults with normal bone density and adults with osteoporosis. Adults 60 years of age with normal...

Extracted text: Exercise 2. A study is designed to test whether there is a difference in mean daily calcium intake in adults with normal bone density and adults with osteoporosis. Adults 60 years of age with normal bone density and osteoporosis are selected at random from hospital records and invited to participate in the study. Each participant's daily calcium intake (mg) is measured based on reported food intake and supplements. The data are shown below. Normal Bone Density: 1200 1000 980 900 750 800 Osteoporosis: 890 650 1100 900 400 350 480 Do these data give statistical evidence of differences in mean calcium intake across the two groups? That is, do these data give statistical evidence that the process means, say mean(Y:RE,) and mean(Y:RE2) are different? Here, Y = daily calcium intake (mg), RE, = "Nature generates a 60-year-old with normal bone density" and RE2 ="Nature generates a 60-year-old with osteoporosis." (a) Carefully describe the target of inference. Hint: This will be a difference bw process means.. (b) Compute and interpret a 90% confidence interval for the target. (c) Test the implied hypotheses. Include a PV Report.