Question: Iron Deficiency? The null and alternative hypotheses obtained in Exercise $9.8$ on page 404 are

where \(\mu\) is the mean iron intake (per day) of all adult females under the age of 51 . Explain what each outcome would mean.

1. Type I error
2. Type II error
3. Correct decision Now suppose that the results of carrying out the hypothesis test lead to rejection of the null hypothesis, \(\mu=18 \mathrm{mg}\), that is, to the conclusion that \(\mu<18 \mathrm{mg}\). Classify that conclusion by error type or as a correct decision if in fact the mean iron intake, \(\mu\), of all adult females under the age of 51
4. equals the RDA of \(18 \mathrm{mg}\) per day.
5. is less than the RDA of \(18 \mathrm{mg}\) per day.

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