A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of infants who had been breast-fed to a random sample of infants who had been fed with standard infant formula. Here are the results. Breast-fed infants Formula-fed infants 23 19 13.3 1.7 12.4 1.8 We want to test H, :H3 - H; = 0, H,i-Hg#0, where lz and H; are the population mean blood hemoglobin levels for breast-fed and formula-fed infants, respectively. (a) What additional information would you need to confirm that the conditions for this test have been met? (b) Assume the conditions have been met. Calculate the standardized test statistic and P-value for this test. (C) What conclusion would you make at the a = 0.05 significance level? (d) Given your conclusion in part (c), which type of error, Type I or Type II, could you have made? Describe that error in the context of this study.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of infants
who had been breast-fed to a random sample of infants who had been fed with standard infant formula. Here
are the results.
Breast-fed infants
Formula-fed infants
23
13.3
1.7
19
12.4
1.8
We want to test H,:µz - µ; = 0, H,:H3- Hp ±0, where lz and H, are the population mean blood
hemoglobin levels for breast-fed and formula-fed infants, respectively.
(a) What additional information would you need to confirm that the conditions for this test have been met?
(b) Assume the conditions have been met. Calculate the standardized test statistic and P-value for this test.
(C) What conclusion would you make at the a = 0.05 significance level?
(d) Given your conclusion in part (c), which type of error, Type I or Type II, could you have made? Describe that error in the context of this study.
Transcribed Image Text:A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of infants who had been breast-fed to a random sample of infants who had been fed with standard infant formula. Here are the results. Breast-fed infants Formula-fed infants 23 13.3 1.7 19 12.4 1.8 We want to test H,:µz - µ; = 0, H,:H3- Hp ±0, where lz and H, are the population mean blood hemoglobin levels for breast-fed and formula-fed infants, respectively. (a) What additional information would you need to confirm that the conditions for this test have been met? (b) Assume the conditions have been met. Calculate the standardized test statistic and P-value for this test. (C) What conclusion would you make at the a = 0.05 significance level? (d) Given your conclusion in part (c), which type of error, Type I or Type II, could you have made? Describe that error in the context of this study.
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