different video games showing drug usewere observed. The duration times of drug use(in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 85sec, what does df denote, and what is its value

Your question is not complete, however, I have provided answers to it by suggesting that the question goes like this;

Twelve different video games showing drug use were observed. The duration times of drug use (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 85sec, what does df denote, and what is its value

df denote degree of freedom.

degree of freedom df is 11.

Step-by-step explanation:

what does df denote?

df denote degree of freedom

To find it value,

we have twelve different video games showing drug use, then, it means that the sample size "n" is 12

the degree of freedom is 1 < n ( i.e, one less than sample size)

df = n -1 = 12 -1 = 11

So, degree of freedom df is 11.

Note; use your sample size to solve the question as I don't know the exact value you were given. Thanks.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.