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There is sufficient evidence to conclude that the Lymphocytes mean size and TumorCells mean size are not equal.

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There is sufficient evidence to conclude that the Lymphocytes mean size and TumorCells mean size are not equal.

 

Explanation:

An unpaired t-test also known as an independent t-test, is a statistical procedure that compares the means of two independent or unrelated groups to determine if there is a significant difference between the two group means.

Null Hypothesis, H0 : μ1 - μ2 = 0

Alternative Hypothesis, H1 : μ1 - μ2 ≠ 0  ; (claim), it's a two-tailed test for it contain the symbol "≠" for "decreased".       

where: μ1 & μ2 = population mean size of Lymphocytes and TumorCells, respectively

The null hypothesis only do contain the symbols = , ≥ , ≤. And the alternative hypothesis only do contain the symbols ≠ , > , <.

We assume the data are normally distributed and since the population standard deviations σ are not known, we use the test statistic t. 

 

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