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In: Statistics and Probability

(20.48) There is evidence that cytotoxic T lymphocytes (T cells) participate in controlling tumor growth and...

(20.48) There is evidence that cytotoxic T lymphocytes (T cells) participate in controlling tumor growth and that they can be harnessed to use the body's immune system to treat cancer. One study investigated the use of a T cell-engaging antibody, blinatumomab, to recruit T cells to control tumor growth. The data below are T cell counts (1000 per microliter) at baseline (beginning of the study) and after 20 days on blinatumomab for 6 subjects in the study. The difference (after 20 days minus baseline) is the response variable.

Baseline 0.04 0.02 0 0.02 0.35 0.4
After 20 days 0 0.37 1.2 0.05 1.02 0.24
Difference -0.04 0.35 1.2 0.03 0.67 -0.16

Do the data give evidence at the 1 % level that the mean count of T cells is higher after 20 days on blinatumomab?

The test statistic is t = _____ (±±0.001)

What is _____?

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