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For this case, we find the equation of the line of the form:
Where:
So, we have:
We substitute one of the points:
Thus, the equation is:
Now, we substitute a point belonging to the region to determine the sign.
(
-3 is less than 0.
Then, the inequality is:
As the border of the region is dotted, then it remains ">."
Answer:
Answer:
Step-by-step explanation:
Given that is the length measured in meters and
represents the same length measured in centimeters.
Let us first have a look at the relationship between meters and centimeters units of length.
1 unit of length in meters = 100 units of length in centimeters
Therefore, it can be said that:
2 units of length in meters = 200 units of length in centimeters
3 units of length in meters = 300 units of length in centimeters
4 units of length in meters = 400 units of length in centimeters
OR
units of length in meters = 100
units of length in centimeters
It is given that is the length in centimeters.
Therefore, the <em>proportional equation</em> can be written as:
The test statistic z is 2.33, the p-value corresponding to the test statistic z value is 0.0099.
<h3>What is Probability?</h3>Probability is the measure of the likeliness of happening of an event.
The mean of the data is 15.07 centimeters
The standard deviation of the data is 0.26 centimeters.
n = 75
Significance Level ∝ = 0.01
According to the null and alternative hypothesis
Hₐ : ≤15 vs H₁ :
>15
The test statistic z is given by
Z = ( 15.07 -15)/(0.26/√75)
Z = 2.33
The p-value corresponding to z value is 0.0099
as p-value < significance level, therefore the H₁ : >15 is acceptable.
No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.
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