There is evidence that cytotoxic T lymphocytes (T cells) participate in controll

Question

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, 0.44, 0.39

After 20 days: 0.18, 0.37, 1.2, 0.15, 1.12, 0

Difference: 0.14, 0.35, 1.2, 0.13, 0.68, -0.39

Do the data give evidence at the 2 % level that the mean count of T cells is higher after 20 days on blinatumomab?

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

a. )Yes

b.) No

Explanation / Answer

here test stat is t=1.588

as p value is greater then 0.02 level

hence No ; data does not give  evidence at the 2 % level that the mean count of T cells is higher after 20 days on blinatumomab

baseline after 20 days difference(d) 0.04 0.18 0.14 0.02 0.37 0.35 0 1.2 1.2 0.02 0.15 0.13 0.44 1.12 0.68 0.39 0 -0.39 mean 0.352 std deviaition 0.5425 std error= std dev/(n)^(1/2) 0.2215 t stat= (d)/std error 1.5879 p value = 0.0817

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