In immune.xlsx, some individuals received a treatment of carotenoids (CAROT) and some received no treatment (NO). Carotenoids belong to a class of molecules called isoprenoids, many of them are antioxidants and some of them are vitamins such as vitamin A and its precursor beta-carotene, which is found in carrots.  Because of the antioxidant properties of carotenoids the purpose of the study was to check if they have any effect on immunity.  The column PHA gives quantitative measuremenst of cell-mediated immunity and the column SRBC

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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In immune.xlsx, some individuals received a treatment of carotenoids (CAROT) and some received no treatment (NO). Carotenoids belong to a class of molecules called isoprenoids, many of them are antioxidants and some of them are vitamins such as vitamin A and its precursor beta-carotene, which is found in carrots.  Because of the antioxidant properties of carotenoids the purpose of the study was to check if they have any effect on immunity.  The column PHA gives quantitative measuremenst of cell-mediated immunity and the column SRBC gives quantitative measurements of humoral immunity.  This is clearly a two-sample (non-paired) design.  Therefore, you need to perform a Mann-Whitney-U test to check for differences. Bear in minds that rank assignments in Excel can be quite tricky and, therefore, if you need to do a Mann-Whitney rank assignment it is probably best to do this by hand.  

1) What is the rank sum of the PHA data of the individuals, which received carotenoids and what is the rank sum of the PHA data of the individuals, which received no treatment?

2) What is the U1 of the PHA data of the individuals, which received carotenoids and U2 of the PHA data of the individual, which received no treatment?

3) What is the P-value of a two-tailed Mann-Whitney U test on the PHA data?

   

>0.05

   

0.05-0.01

   

<0.01

   

The P-value cannot be determined for these sample sizes.

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