Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half.
1 answer:
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Answer:
Step-by-step explanation:
Hello!
You have two samples.
Sample 1 (time that takes one commute of worker 1)
n₁= 20
S₁²= 12.2
Sample 2 (time that takes one commute of worker 2)
n₂= 20
S₂²= 16.9
The hypothesis is that the first coworker is more consistent with his commute times, this means that the variability of his commute times is less than the variability of the commute times of worker 2. With this in mind, the hypothesis for a variance ratio test is:
H₀: σ₁² ≥ σ₂²
H₁:: σ₁² < σ₂²
α: 0.10
The statistic for this test is:
F= (S₁²/S₂²) * (σ₁²/σ₂²) ~ F
The test is one-tailed (left) with just one critical value:
(The F-table I use only has the values for high probabilities so I've used a conversion method to obtain the value for the small probability)
Your decision rule is:
If F ≤ 0.549, you reject the null hypothesis.
if F > 0.549, you support the null hypothesis.
The calculated value:
F= (S₁²/S₂²) * (σ₁²/σ₂²) = (12.2/16.9) * 1= 0.722
Since the calculated F-value is greater than the critical value, the decision is to not reject the null hypothesis. So you can say that the variability of the commute times of worker 1 is less than the variability of the commute times of worker 2.
I hope you have a SUPER day!
Answer:
The graph shows that when x =3 both
and 5 – x equal 2
Step-by-step explanation:
The equation 13x + 1 = 5 – x can be solved by graphing y = 13x + 1 and y = 5 – x.
From the graph, the two lines representing the two equations intersect at (3,2).
This implies that the solution to the system
and
y=5-x
is x=3, y=2
Hence the value of the two functions equals 2 at x=3.