Anemia. Hemoglobin is a protein in red blood cells that carries oxygen from thelungs to

Chapter 0, Problem 15.1

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Anemia. Hemoglobin is a protein in red blood cells that carries oxygen from thelungs to body tissues. People with less than 12 grams of hemoglobin per deciliterof blood (g/dl) are anemic. A public health official in Jordan suspects that themean for all children in Jordan is less than 12. He measures a sample of50 children. Suppose that the simple conditions hold: the 50 children are anSRS from all Jordanian children and the hemoglobin level in this populationfollows a Normal distribution with standard deviation = 1.6 g/dl.(a) We seek evidence against the claim that = 12. What is the samplingdistribution of x in many samples of size 50 if in fact = 12? Make a sketch of the Normal curve for this distribution. (Sketch a Normal curve, then mark theaxis using what you know about locating the mean and standard deviation on aNormal curve.)(b) The sample mean was x = 11.3. Mark this outcome on the samplingdistribution. Also mark the outcome x = 11.8 g/dl of a different study of 50children. Explain carefully from your sketch why one of these outcomes is goodevidence that is lower than 12, and also why the other outcome is not goodevidence for this conclusion.