Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
<em>H</em>₀: There is no difference between the two population means, i.e. <em>d</em> = 0.
<em>Hₐ</em>: There is a significant difference between the two population means, i.e. <em>d</em> ≠ 0.
Consider the Excel output attached.
The mean of the differences is, 
.
The standard deviation of the differences is, 
.
Compute the test statistic as follows:
The degrees of freedom is, n - 1 = 7.
Compute the <em>p</em>-value as follows:
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
<em>p</em>-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
The answer to this question is 5 days
Answer:
Vertex(-3,1)
Step-by-step explanation:
We have a graphical representation of our parabola.
Showing both the x axis and the y axis and showing the values of each point of the parabola on it.
As we can see we have some major points like point p = (-4,0)
And point q = (-1,-3)
What I want to point out is that every unit represent a two then half of it represents a one.
So the position of our vertex which is the maximum point on the graph
X axis = -3
Y axis =1
So the point our vertex is located
Vertex(-3,1)
Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:
b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.
