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Metal ions affect the homeostasis of Alzheimer's disease (AD) patients. Khanahmadi et al. conducted a study to compare the metal ions iron, zinc and copper in patients with AD with the normal range provided by the laboratory. Among a group of 17 patients with AD in Tehran's aging centers in 2015, blood samples were collected and analyzed for iron, zinc and copper in a pathobiological laboratory. Results are provided in the table below (units are in μg/dL).
Metal Ion n Sample Mean Standard Error Normal Range
Iron 17 55.76 4.75 37-145
Zinc 17 64.35 3.27 80-120
Copper 17 119.29 5.61 80-155
Using a 0.01 significance level, you need to test the claim that this sample comes from a population with a mean zinc level that is significantly less than 80 μg/dL (i.e., the lower limit of the normal range). Answer the following:
1) What is the null hypothesis H0?
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