Answer:
Step-by-step explanation:
In the two independent samples application, it involves the test of hypothesis that is the difference in population means, μ1 - μ2. The null hypothesis is always that there is no difference between groups with respect to means.
Null hypothesis: ∪₁ = ∪₂. where ∪₁ represent the mean of sample 1 and ∪₂ represent the mean of sample 2.
A researcher can hypothesize that the first mean is larger than the second (H1: μ1 > μ2 ), that the first mean is smaller than the second (H1: μ1 < μ2 ), or that the means are different (H1: μ1 ≠ μ2 ). These ae the alternative hypothesis.
Thus for the z test:
if n₁ > 30 and n₂ > 30
z = X₁ - X₂ / {Sp[√(1/n₁ + 1/n₂)]}
where Sp is √{ [(n₁-1)s₁² + (n₂-1)s₂²] / (n₁+n₂-2)}
Answer:
It's A on E2020; StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot
Step-by-step explanation:
bleh
a. Use the inclusion/exclusion principle.

b. By definition of conditional probability,

Answer:
60.7420...
Step-by-step explanation:
Answer:
1. x = -4y ---> y = (-1/4)x
slope = -1/4. y-intercept = (0,0)
2. y = -2x + 4
3. y = (1/3)x - 1
Step-by-step explanation:
1. Re-write your equation so that x is on the right and y is on the left:
x = -4y ---> y = (-1/4)x
slope = -1/4. y-intercept = (0,0)
2. y-intercept = (0,4) ----> P1
x-intercrpt = (2,0) ----> P2
slope m = (y2 - y1) / (x2 - x1)
= (0 - 4)/(2 - 0)
= -2
therefore, y - y1 = mx - x1 ---> y - 4 = -2x
or y = -2x + 4
3. y-intercept = (0,-1)
x-intercept = (3,0)
m = (0 - (-1)) / (3 -0) = 1/3
y - (-1) = (1/3)x - 0 ---> y = (1/3)x - 1