Answer:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
Step-by-step explanation:
U.S. drivers spend on average, 51 minutes behind the wheel each day.
This means that at the null hypothesis we test that:
[tex]H_{0}: \mu = 51[/tex]
Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
51 is tested at the null hypothesis:
This means that [tex]\mu = 51[/tex]
The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.
This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]
[tex]z = -2.12[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.
Looking at the z-table, z = -2.12 has a pvalue of 0.017.
Decision:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Given the following data:
Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the null hypothesis, we would test that:
[tex]H_o : \mu =51[/tex]
For the alternate hypothesis, we would test that:
[tex]H_a : \mu < 51[/tex]
The test statistics would be calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]
Z = -2.12.
What is a p-value?In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.
From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.
In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Read more on null hypothesis here: https://brainly.com/question/14913351
2- Describe the cross section
The cross-section cut by the plane yields a quadrilateral with length and width equal to the length and width of the face that is parallel to the plane.
Rewrite as an exponential equation.
In7 = y
The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 173 represent?
9514 1404 393
Answer:
f(1) = 173 = the amount remaining after 1 year
Step-by-step explanation:
The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...
f(1) = 173 = the amount remaining after 1 year
__
(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)
Which of the following is false about the figure?
a. m CUD = m VUM
b. M AUV + m DUA = 180
c. m MUC - m MUD = mzCUD
d. m PUD + m VUP = m PUM + m_CUA
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Figure J is similar to Figure M.
D
8
M
A
F
w
Which equation is true? (Picture is shown)
Answer:
what are the equations?
Step-by-step explanation:
area of circle if circumference is 132m
Answer:
1386 cm²
Step-by-step explanation:
Here's your answer!
Hope it helps :)
Answer:
1386.56m²
Step-by-step explanation:
A=C2
4π
Circumference^2/4(3.14)
For f(x) = -5x + 4, what is the value of x for which f(x) = 20
Answer:
- 3.2
Step-by-step explanation:
- 5x + 4 = 20
- 5x = 20 - 4
- 5x = 16
x = 16 / - 5
x = - 3.2
4. Complete the number sentence below: *
x 102 = 2,500
Help me please !!!
The area of a triangle is 92 square inches. The base is 23 inches. What is the height in inches? Do not include units in your answer.
Answer:
34,5 ?? I am not good at this but I did 92-23 that's 69 ÷ 2 = 34.5 ?
Answer:
Step-by-step explanation:
We can use the formula for the area of a triangle, to help us find the height:
Area=12⋅b⋅h
Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:
92=12⋅23⋅h
Isolate h by multiplying both sides by 2 and dividing both sides by 23.
hh=2⋅9223=8
The height is 8 inches.
What’s the volume and surface area
Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.
In a video game a centipede follows a path that can be particularly modeled by the function f(x)=x(x-5)(x-3) what are the zeros of this function
The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.
What are the zeros of the polynomial function?The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.
The given polynomial function is f(x)=x(x-5)(x-3).
Here, x(x-5)(x-3)=0
x=0, x-5=0, x-3=0
x=0, x=5 and x=3
The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.
To learn more about the polynomial function visit:
https://brainly.com/question/12976257.
#SPJ2
What is the measure of AC?
D
30°
90 E
90° B
A. 1200
B. 150°
C. 90°
с
O D. 30°
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
10.3
Step-by-step explanation:
6²+b²=9²
36+b²=81
b²=81-36
b²=45
b=√45
b=6.7
So CE is 6.7.
6²+b²=7²
36+b²=49
b²=49-36
b²=13
b=√13
b=3.6
so EA is 3.6
AC = CE+EA = 6.7+3.6 = 10.3
Tyler has 2 1/3 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. How many smoothies can Tyler make with the yogurt?
Answer:
7 smoothies
Step-by-step explanation:
change 2 1/3 into improper fraction => 7/3
divide 7/3 by 1/3:
=> 7/3 × 3
=> 7
Answer:
2 1/3
Step-by-step explanation:
What is
7(2b + 3) - 2b
Pls I need help fast
Answer:
b= = - 7/4 or -1.75
Step-by-step explanation:
14b +21 -2b=0
12b +21=0
12b= -21
b= -21/12
b= - 7/4 or -1.75
Answer:
i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21
Step-by-step explanation:
first, you have to set this question equal to 0.
7(2b+3)-2b=0
now you have to distribute the 7 to everything inside the parentheses.
14b+21-2b=0
combine like terms
12b+21=0
you can stop here and take this answer if this is the one you want
now subtract each side by 21
12b=-21
divide each side by 12
b=-21/12
simplify
b=-7/4
hope this helps! have a nice day :)
Help me who here is a master at math I need your help !!
Answer:
88.4ft²
Step-by-step explanation:
oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:
So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:
10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)
So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):
6 x 5.2 ÷ 2 = 15.6
So the area is 15.6ft
Now let's do the triangles under the trapezoid:
So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:
18 - 6 = 12
and we're going to assume that both the triangles are equal:
12 ÷ 2 = 6
6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them
15.6 x 2 = 31.2
So the area of the triangles under the trapezoid is 31.2ft
Now, the trapezoid:
so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:
4 + 12 = 16
16 x 5.2 = 83.2
83.2 ÷ 2 = 41.6
So the trapezoid is 41.6ft
Now we add all of our disgustingness together:
15.6 + 31.2 + 41.6 = 88.4
So, the area of the entire garden is 88.4ft²
hope this helps:)
Round to one billion place. Drop the zeros.
28,436,297,825
30,943,267,101
45,831,246,935
Answer:
28,436,297,825
30,943,267,101
45,000,000,000
Step-by-step explanation:
ur welcome
5. Write 21/25 as a percent * O 84% O 80% o 21% 25%
Answer:
84%
Step-by-step explanation:
21/25 = 84/100 = 0.84 = 84%
Answer: 84%
The window above Matt's front door is shaped like a triangle.
How many equal-length sides does the window have?
Enter the correct answer in the box.
PLEASE HELP
Answer:
It has 2 equal side lengths
1. What type of sequence is this? *
3.5, 10.5,31.5, 94.5, 283.5, ---
Arthímetic
Geornetric
Neither
Answer:
Arthimatic is the answer
what is 5 cm in mm. i need a simple answer. NO LINKS
50 millimeters
keystrokes
choosing an ice cream cone from waffle, plain,
or sugar and a flavor of ice cream from
chocolate, vanilla, or strawberry
Answer:
vanilla,cone
Step-by-step explanation:
GIVING BRAINLIEST!!!
Which summation formula is equivalent to the one below?
Answer:
The second summation, counting from the top.
Step-by-step explanation:
Remember the relation:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
The first summation is:
4*( (-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3)
4*( 1 - 1/2 + 1/4 - 1/8) = 2.5
Now let's analyze the options.
Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.
Let's look at the next one (B), it will be equal to:
= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =
= (1/4)*( 16 - 8 + 4 - 2) = 2.5
Then this summation is the one equivalent to the first one.
Answer:
B
Step-by-step explanation:
edg 2021
10.) Find values of x and y for which ABCD must
be a parallelogram.
A x=2 y=4
B x=2 y=6
C x=2 y=16
D x=6 y=2
Answer:
B x=2 y=6
Step-by-step explanation:
For ABCD to be parallelogram, following conditions should be satisfied:
2x - 0 = x + 2 & 4y - 8 = y + 10
2x - 0 = x + 2
2x - x = 2
x = 2
4y - 8 = y + 10
4y - y = 10 + 8
3y = 18
y = 18/3
y = 6
Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take
Answer: 5
Step-by-step explanation:
Please help!!!!!!!!!
10+6+9+13+7= 45
and divide it by 5
the answer is 9
the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it
Solve for angle x help plz
Answer:
123 degrees
Step-by-step explanation:
Answer:
123°
Step-by-step explanation:
360 - 114 - 43 - 80 = 123
pls help :p i’m stuck
Answer:
x = 7
Step-by-step explanation:
Answer:
x= 1
Step-by-step explanation:
Add four to both sides of the equation:
10x-4+4 = 2x+4+4
Simplify:
10x = 2x+8
Subtract 2x from both sides:
8x = 8
Cancel out terms:
x=
Simplify:
x=1
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 6.6 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
Step-by-step explanation:
Step:-1
Given that mean of the population (μ) = 6.5 pounds/ square inch
Given that the sample size 'n' = 26
Given that mean of the sample ( x⁻) = 6.6 pounds/ square inch
Given that the standard deviation of the sample (σ) = 1.0
t₀.₀₁ = 2.7874
Step:-2
Null hypothesis:H₀: μ = 6.5
Alternative Hypothesis:H₁: μ ≠6.5
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{6.6-6.5}{\frac{1.0}{\sqrt{26} } }[/tex]
t = 0.510
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
Final answer:-
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch