Question

1- Here are the sweetness losses ( sweetness before storage minus sweetness after storage) found by 10 tasters for one new cola recipe:

2.1	0.5	0.6	1.9	-0.2
2.3	-1.3	1.3	1.3	2.3

Take the data from these 10 carefully trained tasters as an SRS from a large population of all trained tasters.

Is there evidence at the 5% level that the cola lost sweetness? If the cola has not lost sweetness, the ratings after should be the same as before it was stored?

what is The test statisic is t

2-

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	0.29	0.25
After 20 days	0.18	0	1.1	0	1.12	0.34
Difference	0.14	-0.02	1.1	-0.02	0.83	0.09

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

what is The test statistic?

Answer 1