You have tested to find whether a relationship exists between hours of sleep the night before an exam and grade on the exam. You have a participant pool of n = 28, df = 26. Your hypothesis is that a significant relationship will exist, where those with more hours of sleep receive higher grades on the exam. This is a directional hypothesis, so you run a one-tailed test, with α = 0.05. You run the numbers and find a correlation of 0.243. Doing the math, you find t = 1.278. The critical value needed is and you conclude that your correlation is .

step-by-step explanation:

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answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.