Answer:
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
Step-by-step explanation:
The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications.
At the null hypothesis, we test that the mean is the specification value of 5.7, that is:
[tex]H_0: \mu = 5.7[/tex]
At the alternate hypothesis, we test that the mean is above the specifications, that is, above 5.7. So:
[tex]H_a: \mu > 5.7[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
5.7 is tested at the null hypothesis:
This means that [tex]\mu = 5.7[/tex]
The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49.
This means that [tex]n = 8, X = 6.2, s = \sqrt{0.49} = 0.7[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.2 - 5.7}{\frac{0.7}{\sqrt{8}}}[/tex]
[tex]t = 2.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 6.2, which is the p-value of t = 2.02, using a right-tailed test with 8 - 1 = 7 degrees of freedom.
With the help of a calculator, this p-value is 0.0416.
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
Calculate the volume of this can of baked beans:
Choices:
120.95cm3
38.5cm3
77cm3
423.32cm3
Answer:
423.32cm³
Step-by-step explanation:
Volume of a cylinder = [tex]V=\pi r^2h[/tex]
where r = radius and h = height
Given height = 11 cm
Given radius = 3.5 cm
* plug in these values into the formula *
[tex]V=\pi 3.5^211\\3.5^2=12.25 \\12.25\pi =38.48\\34.48*11=423.32\\V=423.32[/tex]
So we can conclude that the answer would be D
Pleaseee helppp!!! (Im looking for the x)
Answer:
[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]
Step-by-step explanation:
i hope this is helpful
Fifteen students were asked how many board games they played last week. The responses are summarized in the table.
Number of
Board Games
Played
Number of
Students
0
5
6
1
2.
3
3
1
Find the mean and median number of board games played by the students.
Drag numbers to the blanks to show your answer.
mean
median
0
0.5
1
1.5
2
2.5
3
Answer:
Mean - 1.5
Median - 1.5
Step-by-step explanation:
Median = middle number
Means = all numbers added up and divided by how many are there
which expression is equivalent to
[tex]4 - ( - 7)[/tex]
A.7+4
B.4-7
C.-7-4
D.-4+7
Determine the equation of the line given by the graph. A) y = 5 3 x − 4 B) y = 3 5 x − 4 C) y = − 5 3 x + 4 D) y = − 3 5 x + 4
Its D
Answer:
Where is the Graph?
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
Thanks so much for the free p0ints! hereś a meme to make you laugh!
In the map below, the path from the zebras to the monkeys is parallel to the path from the tigers to the elephants.
A map of the City Zoo. A triangle has points Zebras, Monkeys, lions. The distance between zebras and monkeys is 80 feet and from monkeys to lions is x feet. A triangle has points tigers, elephants, lions. The distance from lions to tigers is 132 feet and from tigers to elephants is 120 feet.
What is the distance between the lions and the monkeys?
40 feet
88 feet
92 feet
198 feet
answer B.
Solve for u. 2u-9= 25
Answer:
Hello! answer: u = 17
Step-by-step explanation:
answer is 17 because... 17 × 2 = 34 and 34 - 9 = 25 Hope that helps!
Answer:
u=17
Step-by-step explanation:
2u-9=25
2u=34
u=17
Degree and Radian Measures
Convert the angle to radians. Leave as a multiple of /pi
-630°
a. -7/pi
b. - 7/pi/4
c. - 7/pi/2
d. 7/pi/2
Please select from the best choices provided
Answer:
C. -7/pi/2
Step-by-step explanation:
I calculated it logically
please help me thank you. hfnuifhioh
Help this is the answer
Answer:
Yes it is correct
Step-by-step explanation:
right
Answer:
-9.25
Step-by-step explanation:
I don't really know how to explain this over a computer.
Hope that this helps!
An equation that models the height of an object dropped from the top of a building is y= -16x^2 + 30 where x is time in sec. Another equation, y= 14, models the path of a flying bird in the air. Write a system of equations, and then solve to find how many seconds the object is in the air before it crosses the birds path
Answer:
1 second
Step-by-step explanation:
The 2 equations are
y = - 16x² + 30 → (1)
y = 14 → (2)
Substitute y = 14 into (1)
14 = - 16x² + 30 ( subtract 30 from both sides )
- 16 = - 16x² ( divide both sides by - 16 )
1 = x² ( take the square root of both sides )
x = [tex]\sqrt{1}[/tex] = 1
The object is in the air for 1 sec before it crosses the bird's path
th
Write an
explicit formula for an, the n' term of the sequence 35, 42, 49, ....
TiMED PLEASE HELP
Answer:
The nth term is 35+ 7(n-1) or can be written 28 + 7n
Step-by-step explanation:
This is an arithmetic sequence, where each term equals the previous term, with a constant value added.
T1 = 35
T2 = 42 = T1 + 7 = 35 + 7
T3 = 49 = T2+ 7 = 35 + 7 + 7 = 35 + 2x7
…
The nth term is equal to 35 + 7X(n-1)
Plz this is urgent someone plz plz plz plz plz worth 21 pt and brainlest
Answer:
8
Step-by-step explanation:
500/(2*(4.4*3.2+3.2*2+2*4.4)) = 8.5382513661
figure is shown.
What is the measure, in degrees, of
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag conOne bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow? tains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.
Answer:
Step-by-step explanation:
2. The weight of one serving of trail mix is 2.5 ounces. How many servings
are there in 62.5 ounces of traill mix?
Answer:
25 servings because you decide the 2.5 ounces from the 62.5 and it equals 25
Select the ratio equivalent to tan(A).
A. 5/13
B. 5/12
C. 13/12
D. 12/5
A scale factor of 5 was applied to this figure. What would be the new length of the height and width of the triangle?
Answer:
8 units
Step-by-step explanation: Hope it helps.
ayudenmee plis
El sueldo de los trabajadores de una multinacional sigue una distribución normal con media µ=$2000 y una desviación estándar σ=$600. Si se tomó una muestra de 64 trabajadores, calcular el intervalo de confianza para estimar el sueldo medio poblacional de los trabajadores, con un nivel de confianza del 99%.
Answer:
El intervalo, con un nivel de confianza de 99%, para estimar el sueldo medio poblacional de los trabajadores es de ($1807, $2193).
Step-by-step explanation:
El primero paso es el encuentro de lo [tex]\alpha[/tex], que es la subtracion de 1 por lo nivel de confianza e divididos por 2. Entonces:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Ahora, buscamos a z en la tabela Z de manera que z tienga uno p-value de [tex]1 - \alpha[/tex].
Entonces, z con uno p-value de [tex]1 - 0.005 = 0.995[/tex], o sea, z = 2.575.
La margen de error es:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
En que [tex]\sigma[/tex] es la desviación estándar y n es el tamaño de la muestra.
σ=$600. Si se tomó una muestra de 64 trabajadores
Entonces [tex]\sigma = 600, n = 64[/tex]
Margen de error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.575\frac{600}{\sqrt{64}}[/tex]
[tex]M = 193[/tex]
El limite inferior es la subtración de la media de la muestra por la margen de error. Entonces 2000 - 193 = $1807.
El limite inferior es la suma de la media de la muestra con la margen de error. Entonces 2000 + 193 = $2193.
El intervalo, con un nivel de confianza de 99%, para estimar el sueldo medio poblacional de los trabajadores es de ($1807, $2193).
One angle of a right triangle measures 71°. What is the measure of the other acute angle?
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why
Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5
Give reasons why teachers use measures of variability i
n examination analysis
Answer:
The range is the simplest measure of variability to compute. The standard deviation can be an effective tool for teachers. The standarddeviation can be useful in analyzing class room test results. A large standarddeviation might tell a teacher the class grades were spead a great distance from the mean.Step-by-step explanation:
PLEASE MARK ME BRAINLIEST AND FOLLOW ME LOTS OF LOVE FROM MY HEART'AND SOUL DARLING TEJASVINI SINHA HERE ❤️$16000 increased by 20%
Tell me the answer plssss
Answer:
16,000, percentage increased by 20% (percent) of its value = 19,200
Step-by-step explanation:
Answer:
Hope the answer is by substracting
15999.8
An article measured speeds of vehicles on several roads in the state of Kansas. On South Cedar Niles, 73 vehicles were observed, and 45 of them were exceeding the speed limit. Can you conclude that more than 60% of the vehicles on South Cedar Niles exceed the speed limit
Answer:
The [tex]p-[/tex] value is [tex]0.2996[/tex].
Step-by-step explanation:
This is a right-tailed test.
The null and alternative hypothesis is
[tex]H_0:p=0.60\\H_a:p>0.60[/tex]
Point estimate [tex]=[/tex] sample proportion[tex]=\hat{P}=x/n=0.630[/tex]
Test statistics
[tex]$z=\left(\hat{p}-p_{0}\right) / \sqrt{p}_{0^{*}}\left(1-p_{0)} / n\right.$\\$=(0.630-0.60) / \sqrt{(0.60 * 0.40) / 73}$\\$=0.526$\\P-value $=P(Z>z)$\\$=0.2996$\\The $\mathrm{P}$ -value is $0.2996$[/tex]
The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80
Answer:
A. 91
Step-by-step explanation:
Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180
Hope this helps. here are free cookies --->
show two ways to make $5.25 with 6 coins
Answer:
I dont think you can make $5.25 with six coins
Step-by-step explanation:
Is a triangle with side lengths of 33 inches, 56 inches, and65 inches a right triangle? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
Pythagorean's Theorum is that a^2 + b^2 = c^2
a and b are the sides of the triangle and c is the hypotenuse. 33x33+56x56=4225 sqrt4225 is 65. Everything checks out.
