A researcher selects a sample of 30 participants, randomly assigned to one of two groups. She conducts an independent groups t-test at a .05 level of significance. What is the smallest value that the test statistic could be for this test to result in a decision to reject the null hypothesis using a two-tailed test?
A. 2.052
B. 2.042
C. 2.045
D. 2.048

answer: 4

step-by-step explanation:

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.

x

step-by-step explanation: