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

ID: 3224389 • Letter: T

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.

Do the data give evidence at the 4% level that the mean count of T cells is higher after 20 days on blinatumomab?

The test statistic is t=???

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 0.33 0.34 After 20 days 0 0.27 1.2 0 1.02 0 Difference -0.04 0.25 1.2 -0.02 0.69 -0.34

Do the data give evidence at the 4% level that the mean count of T cells is higher after 20 days on blinatumomab?

The test statistic is t=???

Explanation / Answer

as p value is higher then 0.04 level we doi not have evidence  at the 4% level that the mean count of T cells is higher after 20 days on blinatumomab

Baseline After 20 days difference(d) 0.04 0 -0.04 0.02 0.27 0.25 0 1.2 1.2 0.02 0 -0.02 0.33 1.02 0.69 0.34 0 -0.34 mean 0.290 std deviaition 0.5642 std error= std dev/(n)^(1/2) 0.2303 test stat t= (d)/std error 1.2590 p value = 0.1318
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