Can I have the answers to EVERY question?
2 answers:
You might be interested in
Answer:
There is not enough evidence to support the shop’s claim.
Step-by-step explanation:
In this case we need to test whether the claim that people travel more than 3500 miles between oil changes is correct or not.
The hypothesis for the test can be defined as follows:
<em>H₀</em>: People travel not more than 3500 miles between oil changes, i.e. <em>μ</em> ≤ 3500.
<em>Hₐ</em>: People travel more than 3500 miles between oil changes, i.e. <em>μ</em> > 3500.
The information provided is:
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
Thus, the test statistic value is -1.57.
The degrees of freedom of the test is:
df = (n - 1) = 8 - 1 = 7
Compute the p-value of the test as follows:
*Use a t-table.
Thus, the p-value of the test is 0.0802.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.0802 > α = 0.01
The null hypothesis will not be rejected at 5% level of significance.
Thus, concluding that there is not enough evidence to support the shop’s claim that people travel more than 3500 miles between oil changes.
Problem 1
=========
Write an equation for line passing through (8,12) that is perpendicular to
y = (4/3)x - 5
Note:
When two lines are perpendicular, the product of their slopes is -1.
The slope of the given line is 4/3.
Therefore the slope of the perpendicular line is -3/4.
Let the equation of the perpendicular line be
y = -(3/4)x + c
Because the line passes through (8,12), therefore
-(3/4)*8 + c = 12
-6 + c = 12
c = 18
The equation is y = -(3/4)x +18
Answer:
Problem 2
=========
Write an equation for a line passing through (-30,7) that is perpendicular to
y = -3x - 5.
The perpendicular line will have a slope of 1/3. Let its equation be
y = (1/3)x + c
Because the line passes through (-30,7), therefore
(1/3)*(-30) + c = 7
-10 + c = 7
c = 17
The equation is y = (1/3)x + 17
Answer:
=========
Write an equation for line passing through (8,12) that is perpendicular to
y = (4/3)x - 5
Note:
When two lines are perpendicular, the product of their slopes is -1.
The slope of the given line is 4/3.
Therefore the slope of the perpendicular line is -3/4.
Let the equation of the perpendicular line be
y = -(3/4)x + c
Because the line passes through (8,12), therefore
-(3/4)*8 + c = 12
-6 + c = 12
c = 18
The equation is y = -(3/4)x +18
Answer:
Problem 2
=========
Write an equation for a line passing through (-30,7) that is perpendicular to
y = -3x - 5.
The perpendicular line will have a slope of 1/3. Let its equation be
y = (1/3)x + c
Because the line passes through (-30,7), therefore
(1/3)*(-30) + c = 7
-10 + c = 7
c = 17
The equation is y = (1/3)x + 17
Answer: