Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 51 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.50 mg with standard deviation 4.75 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.44 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population.   State the hypotheses that we can use to consider this question. Carry out the hypothesis test in a using the critical-value method with an α level of 0.05, and summarize your findings. What is the p-value for the test conducted in Problem b?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 51 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.50 mg with standard deviation 4.75 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.44 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population.

 

  1. State the hypotheses that we can use to consider this question.
  2. Carry out the hypothesis test in a using the critical-value method with an α level of 0.05, and summarize your findings.
  3. What is the p-value for the test conducted in Problem b?
  4. The standard deviation of daily iron intake in the larger population of 9- to 11-year-old boys was 5.56 mg. We want to test whether the standard deviation from the low-income group is comparable to that of the general population. State the hypotheses that we can use to answer this question.
  5. Carry out the test in d using the critical value method with an α level of 0.05, and summarize your findings
  6. What is the p-value for the test conducted in e?
  7. Compute a 95% CI for the underlying variance of daily iron intake in the low-income group. What can you infer from this CI?

 

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