The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/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.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Can someone answer this for me
Answer:
A
Step-by-step explanation:
Only a can be the answer
Answer:
A
Step-by-step explanation:
it's the only one that seems right
There are 363 students at Meadowbrook High School. There are 10 more
freshmen than sophomores, 20 more juniors than sophomores, and seven more
seniors than freshmen. How many seniors are there at the school?
7,8+ 65 — 4
the expression has a degree of degree of ..
The photo has the question on
1) a=5(10)
[tex] {10}^{2} [/tex]
[tex] \div [/tex]
2
=5
[tex] \times [/tex]
100
[tex] \div [/tex]
2
=5
[tex] \times [/tex]
100
[tex] \div [/tex]
2
=500
[tex] \div [/tex]
2
=250
10 points!!!!!!!!!!!!!
Knowing that P = X x i / 100, C = main, e = Rate. Calculate the rate for the formula: A principal of R $ 105,000.00 obtained a percentage of R $ 35,000.00. What is the rate applied?
Answer:
Interest expressed as a percent of the principal will be referred to as an ... earned on an investment of P at the annual interest rate r for a period of t ... (c) monthly, (d) weekly, (e) daily, and (f) continuously at a nominal annual ... and substitute x = 3−2y in for x in second equation and find 4y−3(3−2y) = 1.
Step-by-step explanation: sorry if that doesn't help :(
Can anyone help, I’ll give Brainly, I’m handing em out like nothing lol
Answer:
2.5
Step-by-step explanation:
50 x $0.05 = 2.5
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
If you invest $2500 at a rate of 3.5%, how much money
will be in the account after 10 years if it is compounded
quarterly?
Answer: 3526.5
Step-by-step explanation: 2500(1+0.035)^10
The relay race is 5 kilometers long. If there are 12 racers
per team, how far would each racer need to run?a.5/12 b.12/5 c.1 2/5 d.5 1/12
Answer:
A
Step-by-step explanation:
every day amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The average speed of the train is 15 mph faster than the average speed in her car. assuming she has no wait time for the train, her one-way trip takes 45 minutes. Find the speed of the car.
Answer:
Speed= 0.6666667 miles per hour
Step-by-step explanation:
You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Use the simple interest formula i= prt. What is the value of i, if p=$6000, r=5%, and t= 3 years
Answer: $6,945.75
6000(1+.05)^3
calculate the surface area of the net
[tex]\red {incomplete \: question}[/tex]
There are twice as many students on Mr. Sneed's team as on Mr. Johnson's team. Together, they want to raise 360$ to buy uniforms. According to the size of their team, how much money should each team raise?
Answer:
go on MATH.WAY. it'll give you the answer and explanation
Step-by-step explanation:
How much it is 16.8 ÷ 0.2 =
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
16.8 would be multiplied by 5 since 0.2 is 1/5 of 1, therefore it would like
16.8 times 5 = 84
Please help <3
Don’t guess
Answer:
median
Step-by-step explanation:
answer is the best measure of center for this dot plot is a median
answer options d
Is the 645 the highest score in the 2018 3rd grade state test
Answer:
I think it is 655.
Step-by-step explanation:
does anyone need help on anything
Answer:
yus can you answer this for me
Step-by-step explanation:
A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn from the barrel, the second tap also starts. It draws 1 litre in every 5 minutes. How many hours will be taken in all to empty the tank?
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?
Answer:
y=1/3x+5/3
Step-by-step explanation:
use the equation y=mx+b plug in slope for m, -2 for x and 1 for y
The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?
Answer:
N'O' = 25
Step-by-step explanation:
N'O' = 5 × NO = 5 × 5 = 25
What is the value of x?
Answer:
[tex]21[/tex]
Step-by-step explanation:
Set up the following proportion and solve for [tex]x[/tex]:
[tex]\frac{27}{45}=\frac{x}{35},\\\\x=\frac{27\cdot 35}{45},\\x=\boxed{21}[/tex]
i solved using brainly but i need to show my work what are the steps in solving please
Answer:
Step-by-step explanation:
to find the inverse first switch the x and y
y=log(x+3) inverse is x=log(y+3)
then change to exponential form to solve
[tex]log_{a} b=c[/tex] turns to[tex]a^{c}=b[/tex]
a is 10
b is y+3
c is x
[tex]10^{x} =y+3[/tex] subtract 3 from both sides
[tex]10^{x} -3=y[/tex]
PLEASE HELP! (No links!)
What is the volume of the salt shaker??
Answer:
10
Step-by-step explanation:
help me plzzzzzzzzzz⏳zzzzzzzzzz
Answer:
X=41
Step-by-step explanation:
40x40 =1600
9x9=81
1600+81=1681
[tex] \sqrt{1681} [/tex]
=41
Solve for x. 3(x+2)=2(2-x)
Answer: -2/5
1. Multiply out like using distributive property
3x+6 = 4-2x
2. Now just simplify
5x+6=4
5x=-2
x=-2/5
Answer:
Heyaa!!! Im Pinky! Im here to inform you that your answer is....
Step-by-step explanation:
1st. We need to Distribute:
3(+2)=2(2−)
3+6=2(2−)
Just like That!
2nd. We have to Rearrange terms:
3+6=2(2−)
3+6=2(−+2)
3rd. Distribute One Last Time:
3+6=2(−+2)
3+6= −2+4
4th. Simplify:
3=−2−2
5th. Add 2 to both sides of the equation:
3=−2−2
3+2=−2−2+2
6th. Simplify:
5=−2
7th. Divide both sides of the equation by the same term:
5=−2
5/5 = -2/5
8th. Solve:
x = -2/5
Have an Amazing day!!
~Pinky~
Does anyone know the answer to this?
Answer:
0.4032
Step-by-step explanation:
1. We assume, that the number 72 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 72 is 100%, so we can write it down as 72=100%.
4. We know, that x is 0.56% of the output value, so we can write it down as x=0.56%.
5. Now we have two simple equations:
1) 72=100%
2) x=0.56%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
72/x=100%/0.56%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Answer:
no
Step-by-step explanation:
your a fattie
4. Which of the following is an exponential function?
O f(x) = 3x^3
O f(x) = 3^x
O f(x) = 5x-6
O f(x) = 2/x
Answer:
f(x) = 3x^3
Step-by-step explanation:
i think maybe its not but i think so
Write the hourly wage 15 dollars an hour as a fraction
it can be written like this, hope this helps: $15/hour <3
The hourly wage 15 dollars an hour as a fraction is $15/1hr.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There is a fraction, containing numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
Given;
wage of 1hour = $15
In fraction;
15dollars/1hour
Therefore, the answer in fraction will be 15/1
Learn more about fraction;
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