<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>
Answer:
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
Critical value at 90% confidence = 1.645
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $79.20
Standard deviation r = $10.41
Number of samples n = 14
Confidence interval = 90%
Using the z table;
The critical value that should be used in constructing the confidence interval.
z(α=0.05) = 1.645
Critical value at 90% confidence z = 1.645
Substituting the values we have;
$79.20+/-1.645($10.42/√14)
$79.20+/-1.645($2.782189528308)
$79.20+/-$4.576701774067
$79.20+/-$4.577
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
In order to find a slope, there is an equation:
Y2-Y1/X2-X1
X1=2
X2=3
Y1=5
Y2=0
0-5= -5
3-2=1
Since slope is written as Y/X, slope would be-5/1 or simply, -5.
Now, we need to find the y-intercept.
To do this, shift the original equation:
Original equation: y=-5x+b
Shifted equation: b=y+5x
Now, plug in one of the points.
Let's use (2,5)
b=5+5(2)
5*2=10
10+5=15
y-intercept=15
So, the full equation of the line would be:
y=-5x+15
Answer:All coordinate pairs that are in Quadrant I will have a positive x value and a positive y value. All coordinate pairs that are in Quadrant II will have a negative x value and a positive y value. All coordinate pairs that are in Quadrant III will have a negative x value and a negative y value.
Step-by-step explanation:ebob
