Researchers suspect that drinking tea might enhance the production of interferon gamma, a molecule that helps the immune system fight bacteria, viruses, and tumors. A recent study involved 21 healthy people who did not normally drink tea or coffee. Eleven of the participants were randomly assigned to drink five or six cups of tea a day, while 10 were asked to drink the same amount of coffee. After two weeks, blood samples were exposed to ar antigen and production of interferon gamma was measured. The results are shown in Table 1 and are available in ImmuneTea. We are interested in estimating the effect size, the increase in average interferon gamma production for drinking tea when compared to coffee. Tea 5 11 13 18 20 47 48 52 55 56 58 Coffee 0 0 3 11 15 16 21 21 38 52Use statkey or other technology to estimate the difference in mean production for tea drinkers minus coffee drinkers.

Difference in mean production for tea drinkers minus coffee drinkers = 34.818 - 17.7 = 17.118 (Almost double!)

It is true that tea enhances the production of interferon gamma from the results of this experiment.

Step-by-step explanation:

The difference in mean of the immune system response of tea drinkers minus coffee drinkers can be done manually.

Mean = average = (Σx)/N

The mean is the sum of variables divided by the number of variables

x = each variable

N = number of variables

For tea drinkers,

Σx = 5 + 11 + 13 + 18 + 20 + 47 + 48 + 52 + 55 + 56 + 58 = 383

N = number of participants = 11

Mean = 383/11 = 34.818

For coffee drinkers,

Σx = 0 + 0 + 3 + 11 + 15 + 16 + 21 + 21 + 38 + 52 = 177

N = number of participants = 10

Mean = 383/11 = 17.7

Difference in mean production for tea drinkers minus coffee drinkers = 34.818 - 17.7 = 17.18

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: