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

INSTRUCTIONS TO CANDIDATES

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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