Try this solution:
1. In order to built the line required in the condition it need to determine its equation.
Using the coordinates of point B (5;2), if to substitute them into the given equation: 2=-3*5+b, ⇒ b=17. It means, that the equation of the line required in the condition is y= -3x+17.
2. The graph is in the attachment; point (0;17) is the intersection point of Y-axis and the line.
Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.
Given information-
The point through which the line passes are (2, 8) and (4, 12).
To find the equation of the line, the standard form of the equation of the line must be obtained.
<h3>Equation of the line</h3>Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.
The standard form of the equation of the line can be given as,
Where and
are the points through which the line passes.
Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,
Divide by 2 both the side,
Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,
Hence the option 3 is the correct option.
Learn more about the equation of the line here;
Answer:
(A) : μ = 22 ;
: μ ≠ 22
(B) Value of the test statistic = -2.69
Step-by-step explanation:
We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.
We have to test the accuracy of the bottling process.
(A) Let, NULL HYPOTHESIS, :
= 22 ounces {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}
ALTERNATE HYPOTHESIS, :
22 ounces {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}
The test statistics that will be used here is One-sample z-test;
T.S. = ~ N(0,1)
where, = sample mean weight of the passion fruit juice = 21.54 ounces
= population standard deviation = 1.38 ounces
n = sample of bottles = 65
(B) So, <u>test statistics</u> =
= -2.69
Hence, the value of test statistics is -2.69.