In each of Exercises, use the Mann–Whitney test to perform the required hypothesis testMath and Chemistry. A college chemistry instructor was concerned about the detrimental effects of poor mathematics background on her students. She randomly selected 15 students and divided them according to math background. Their semester averages were the followingFewer than 2 years of high school algebraTwo or more years of high school algebra586184927581646783817443655274to conclude that, in this teacher’s chemistry courses, students with fewer than 2 years of high school algebra have a lower mean semester average than those with 2 or more years?

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Asked Jan 27, 2020
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In each of Exercises, use the Mann–Whitney test to perform the required hypothesis test

Math and Chemistry. A college chemistry instructor was concerned about the detrimental effects of poor mathematics background on her students. She randomly selected 15 students and divided them according to math background. Their semester averages were the following

Fewer than 2 years of high school algebra Two or more years of high school algebra
58 61 84 92 75
81 64 67 83 81
74 43 65 52 74

to conclude that, in this teacher’s chemistry courses, students with fewer than 2 years of high school algebra have a lower mean semester average than those with 2 or more years?

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Expert Answer

Step 1

The aim is to test whether the students with fewer than 2 years of the high school algebra have the lower mean semester score than the students with 2 or more than 2 years of high school algebra.

Requirements for Mann-Whitney test:

  • The samples must be independent and drawn randomly from populations.
  • The population standard deviation must have same shape.

Thus, the samples are independent and selected at random.

The test hypotheses are,

Statistics homework question answer, step 1, image 1
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Step 2

The table represents the rank...

Statistics homework question answer, step 2, image 1
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