Answer:
Given:
mean, u = 6.2
sample size, n = 180
Sample mean, X' = 6.3
s.d = 0.9
Significance level = 0.05
The null and alternative hypothesis will be:
H0 : u = 6.2
H1 : u > 6.2
Degree of freedom = 180 - 1 = 179
Using t table, the t critical value,
t> t(0.05, 179) = 1.6534
The test statistic:
Since the test statistic(t calculated value) 1.4907 < t critical value (1.6534), we fail to reject the null hypothesis H0.
Answer:
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m):
m =
=
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 = (x - 1)
y - 2 = +
y = +
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___ +
8 ___ +
8 ___
8 >
so ≤ makes the statement False
⇒ y ≤ +
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If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above: