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Chapter 8: Q. 9.17 (page 358)

Iron Deficiency? Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences. The recommended enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 years is 18 milligrams (mg) per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 years are, on average, getting less than the RDA of 18 mg of iron.

Short Answer

Expert verified

Part (a). 18mg

Part (b). less than 18mg

Part (c). left-tailed test

Step by step solution

01

Part (a) Step 1. Given information.  

For adult females under the age of 51, the recommended dietary allowance (RDA) for iron is 18 milligrams (mg) per day.

02

Part (a) Step 2. Determine the null hypothesis.  

Let μ= be the average daily iron consumption of all adult females under 51. The null hypothesis is that all adult females under the age of 51 consume 18 mg of iron per day on average.

So,Ho:μ=18mg

03

Part (b) Step 1. Determine the alternative hypothesis.  

The alternative hypothesis is that all adult females under the age of 51 consume less than 18mg of iron per day.

So,Ha:μ<18mg

04

Part (c) Step 1. Classify the hypothesis test as two tailed, left tailed, or right tailed.  

This is a left-tailed hypothesis test. The alternative hypothesis test determines that the mean iron consumption (per day) of all adult females under the age of 51 is less than 18 mg.

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