Consider the following hypothesis test.
H0: = 20
Ha: μ ≠ 20
A sample of 167 items will be taken and the population standard deviation is 9.31.
Compute the p-value for the following if the sample means.
mean is:
a. 18.0
b. 21.8
c. 21.3
Answers
According to given information the p-value for each sample mean is:
a. 0.001 b. 0.001 c. 0.074
What is meant by p-value?
In statistics, the p-value is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the results.
To compute the p-value for each sample mean, we need to first calculate the corresponding z-score using the formula:
z = (x - μ) / (σ / \(\sqrt{(n)\))
where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
a. For x = 18.0, the z-score is:
z = (18.0 - 20) / (9.31 / \(\sqrt{(167)\)) = -3.28
Using a standard normal distribution table or calculator, we can find that the corresponding p-value is approximately 0.001.
b. For x = 21.8, the z-score is:
z = (21.8 - 20) / (9.31 / \(\sqrt{(167)\)) = 3.28
Using a standard normal distribution table or calculator, we can find that the corresponding p-value is approximately 0.001.
c. For x = 21.3, the z-score is:
z = (21.3 - 20) / (9.31 / sqrt(167)) = 1.79
Using a standard normal distribution table or calculator, we can find that the corresponding p-value is approximately 0.074.
Therefore, sample of 167 items will be taken and the population standard deviation is 9.31 has the p-value for each sample mean is:
a. 0.001
b. 0.001
c. 0.074
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Related Questions
Please Solve (c-3)^2=100
Answers
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
What is 15.23 rounded to the nearest hundredth
Answers
Answer:
15.20
Step-by-step explanation:
Is x great than, less than, or equal to 43?it will
Answers
The angle 43 and x are equal if both lines are staight not bend to towards the angle 43. The line for the angle 43 is bend means that angle 43 is less than the measure of angle x. So measure of x is more than 43.
Thus, x is greater than angle 43.
Given: f(x) = -x2 – 3x + 2 and g(x) = x2 + 4 10. Find -3f(x) 11. Find - g(x) - 5 12. Find (f + g)(x) 13. Find f(x) - g(x) 14. Find f (4x) 15. Find g(-x) - 5
Answers
Problem
Solution
10) -3 f(x)
\(-3(-x^2-3x+2)=3x^2+9x-6\)11) -g(x)-5
\(-x^2-4-5=-x^2-9\)12) (f+g)(x)
\(-x^2-3x+2+x^2+4=-3x+6\)13) f(x) -g(x)
\(-x^2-3x+2-x^2-4=-2x^2-3x-2\)14) f(4x)
\(f(4x)=-(4x)^2-3(4x)+2=-16x^2-12x+2\)15) g(-x) -5
\((-x)^2+4-5=x^2+4-5=x^2-1\)
which The following is a residual plot from a regression of a variable with the independent variable x.
Based on the plot, is it reasonable to conclude that a linear model is appropriate?
1.)Yes, because the plot shows no apparent pattern.
2.)Yes, because the points in the plot display less variation as x increases.
3.)Yes, because the sum of the residuals is close to zero.
4.)No, because the plot shows no apparent pattern.
5.)No, because the points in the plot display more variation as x increases.
Answers
Answer:
Yes, because the plot shows no apparent pattern.
Step-by-step explanation:
Yes, because the plot is a residual plot from a regression of a variable with the independent variable x.
What is regression?Regression is a statistical method that connects a dependent variable to one or more independent (explanatory) variables. A regression model can show whether changes in one or more explanatory variables cause changes in the dependent variable.A regression analysis can be used to predict how the independent variable will affect the dependent variable. As an example, we can say that a linear regression model can accurately predict age and height. Because height grows with age, age and height have a linear relationship.Regression analyses are usually carried out for one of two reasons: Forecasting the value of the dependent variable is possible for those who have access to some information on the explanatory variables.Therefore, the correct option is 1.)Yes, because the plot shows no apparent pattern.
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Y=2X squared -12 X +20 for quadratic formula
Answers
x = (12 ± √(-16)) / 4,The solutions would be complex numbers.
What is the quadratic formula?To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.
The quadratic formula is:
x = (-b ± √\((b^2 - 4ac)\)) / 2a
Plugging in the values for a, b, and c, we get:
x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)
Simplifying the expression inside the square root:
x = (12 ± √\((144 - 160)\)) / 4
x = (12 ± √(-16)) / 4
Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.
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person who answers first I will give 30 points needed asap
what is AoC
BoC
DoE
Answers
Answer:
First of AOD is verticallly opposite to BoC which makes it 55°
Angle at AoC is 55°+55°+105° minus 360 which is 145° hope this helps
We can use the formula r = ⎷S/12.6 to relate a ball's surface area S (in square inches) to its radius r (in inches). Suppose a ball has a surface area of 403.2 square inches. What is its radius?
Round your answer to the nearest tenth.
Answers
The radius of the ball will be;
⇒ r = 5.66 inch
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The formula is,
⇒ r = √ S / 12.6
Where, 'r' is radius and 'S' is surface area.
Now,
A ball has a surface area of 403.2 square inches.
Hence, The radius of ball is,
⇒ r = √ S / 12.6
⇒ r = √ 403.2 / 12.6
⇒ r = √32
⇒ r = 5.66 inch
Thus, The radius of the ball will be;
⇒ r = 5.66 inch
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Connie can clean her house in 3.5 hours. If Alvaro helps her, together they can clean the house in 1 hour and 40 minutes. How long would it take Alvaro to clean the house by himself?
Answers
Answer:
1 hour and 50 minutes
Step-by-step explanation:
Time Connie takes to clean the house: 210 minutes
Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes
Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.
Answer:Alvaro can clean the house alone in approximately 3.89 hours.
Step-by-step explanation:
If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.
To find how long it would take Alvaro to clean the house alone, we can use the formula:
combined rate of work = sum of individual rates of work
So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.
Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).
6th grade math , help me please
Answers
Answer:
a. the ratio is 1:2
b. its equivalent to the fraction 1/2
c. there would be 10 triangles
d. therw would be 45 triangles since the number of parallelograms is double the number of triangles
Answer:
See explanation.
Step-by-step explanation:
a) Simply divide the number of triangles by the number of paralellograms.
3/6
b) 3/6 is equal to 1/2.
1/2
c) Multiply 2 by 10 to get 20. Now, you also have to multiply 1 by 10.
10/20
d) There are three shapes for every instance of the ratio. Divide 90 by 3.
30
Hope this helped!
PLEASE HELP ME ASAP :)
Answers
Answer:
C. 74 sqft
Step-by-step explanation:
The bottom has a surface area of 4ft * 5ft = 20sqft
Theres two 3ft x 5ft sides and two 3ft x 4ft ones.
2 * 3ft * 5ft + 2 * 3ft * 4ft = 2 * 15sqft + 2 * 12sqft = 30sqft + 24sqft = 54sqft
Total surface of the outside is thus
20sqft + 54sqft = 74sqft
\(n^{5} = 1254\)
How am i supposed to solve this?
Answers
Answer:
Step-by-step explanation:
\(n^{5}= 1254\\n^{5} = 2.3.11.19\)
Therefore it is not possible that n is a perfect power of 5
it is approximately 4.16
Answer:
n ≈ 4.165
Step-by-step explanation:
To solve this, you need to take the 5th root of both sides:
\(n^5=1,254\)
\(\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}\)
On the lhs we're only left with n as n^5 and the 5th root cancel each other out.
On the right-hand side we need to calculate:
\(n\approx4.165\)
The classroom outside bag had 5 frisbees in it. If 25% of the outside toys are frisbees, then how many total toys are in the bag?
Answers
Joyce saved $220 on an item that was 75% off what was the original price
Answers
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations. What is the probability that the sample mean is larger than 8?
Answers
Answer:
\(\dfrac{2}{3}\)
Step-by-step explanation:
Given that:
The number of observations is:
6, 10, 12
If we are to use a simple random sampling without replacement, then we will have:
(6,10) (6,12) (10,12)
Here;
the sample size n = 2
The population size N = 3
For (6,10) ; The sample mean = \(\dfrac{6+10}{2}\)
= \(\dfrac{16}{2}\)
= 8
For (6,12) ; The sample mean = \(\dfrac{6+12}{2}\)
= \(\dfrac{18}{2}\)
= 9
For (10, 12) ; The sample mean = \(\dfrac{10+12}{2}\)
= \(\dfrac{22}{2}\)
= 11
The probability distribution of sample mean(x) is:
X 8 9 11
P(X=x) \(\dfrac{1}{3}\) \(\dfrac{1}{3}\) \(\dfrac{1}{3}\)
Thus, the probability that the sample mean is larger than 8 is:
P(X> 8) = P(X = 9) + P(X + 11)
P(X> 8) = \(\dfrac{1}{3}+\dfrac{1}{3}\)
P(X > 8) = \(\dfrac{1+1}{3}\)
P(X> 8) = \(\dfrac{2}{3}\)
and give simple working out :)
Answers
Angles on a straight line add up to 180, and since you’re told that angle y is equal to 143, you can do 180-143, giving you 37.
Please Help! After one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of a new flower bed became twice the area of an old one. How long was the side of the old flower bed?
Answers
The problem says we have a square flower bed to start out with.
Let's have the sides of the squares be "x". The area of this original flower bed is \(x^{2}\).
Then, one side of the square is enlarged by 2ft, and another side 3ft. Our new flower bed dimensions are now (x+2) and (x+3). Multiply (x+2) and (x+3) to find the area, which gets you \(5x^{2} +6x+6\).
We also know that the new area of the flower bed is twice the size of the original flower bed. Multiply the original area by 2, you get \(2x^{2}\).
With the new area and the doubled original area, we can now make an equation: \(5x^{2} +6x+6=2x^{2}\)
Solve for x, you get 6.
Hope this explanation helped, maybe a bit too many details but there's your answer, 6!
The side length of the original bed is 6 units
Area of squareThe formula for finding the area of the square is expressed as:
A = x^2
If one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of the bed becomes;
A = (x+2)(x+3)
A = x^2 + 5x + 6
If the area of a new flower bed became twice the area of an old one, then;
5x^2 + 6x + 6 = 2x^2
On factorizing, the value of x is 6 which shows that the side length of the original bed is 6 units
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Jackson is making brownies. He uses the following ingredients.
Ingredients Amount for 1
Batch of Brownies
Flour 3 cups
Sugar 2 cups
Butter 1/3 cup
Cocoa Powder 1/4 cup
Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?
Part A
Which equation can you use to solve the problem?
A. 1 ÷ 3 = 3
B. 1 ÷ 13 = 3
C. 1 × 13 = 13
D. 1 + 13 = 13
Part B
Jackson used all the butter to make the brownies.
If each brownie is 1/9 of a batch, how many brownies did he make?
Enter your answer in the box.
Answers
Answer:
It's B (1÷13=3) for Part a
1 whole is equal to 3/3. One batch of brownies uses up to 1/3 of butter. So 1 ÷ 1/3 = 3.
Step-by-step explanation:
The amount of snowfall in November was 3 2/5feet. The amount of snowfall in December was 1 1/5feet.
How much more snowfall was there in November?
Write your answer as a mixed number in simplest form.
Answers
2 1/5
Step-by-step explanation:
3 - 1 = 2
2/5 - 1/5 = 1/5
2 + 1/5 = 2 1/5
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:
Answers
Using matrices the simultaneous equation is solved to get x = 3 and y = 5
How to solve the simultaneous equation using matricesThis method required finding determinants in three occasions then dividing
The given equation
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)
the determinant is
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)
3 * 1 - 2 * 1 = 3 - 2 = 1
Solving for x
determinant while replacing x values
\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)
19 * 1 - 2 * 8 = 19 - 16 = 3
solving for x = 3/1 = 3
Solving for y
determinant while replacing y values
\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)
3 * 8 - 19 * 1 = 24 - 19 = 5
solving for y = 5/1 = 5
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11. What would be the temperature be on an autumn day?
a. 50-F
b. 32.C
c. 100-F
d. 0-C
Answers
Answer:
B) 32 C
Step-by-step explanation:
32 C = 89.6 F
hope this helps :D pls mark brainliest :D
Each of these parts is
1/2
of a different whole.
Which is part of the largest whole?
(please do not delete this question!)
Answers
Answer:
C
Step-by-step explanation:
Since C is the largest half, then C is part of the largest whole.
Answer: C
57²⁰¹⁸ and 51²⁰²⁰, which one is larger? (57^2018 vs 51^2020)
Answers
Answer:
steps below
Step-by-step explanation:
Set log x = a and log y = b
x = 10ᵃ and y = 10ᵇ
if a>b 10ᵃ > 10ᵇ
so x > y
x = 57²⁰¹⁸ y = 51²⁰²⁰
log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 : (a)
log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)
3543.36 > 3449.29 log x > log y
x > y: 57²⁰¹⁸ > 51²⁰²⁰
Find each percent decrease. Round to the nearest percent.
6. From 100 ounces to 25 ounces
Answers
Answer:
-75%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((25 - 100) / 100) * 100 = -75 %
What is the solution to this equation?
7x-3(x-6)= 30
A. X= 3.
B. x = 12
C. X= 9
D. x=6
Answers
Answer:
A
Step-by-step explanation:
To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:
7x - 3(x-6) = 30
7x - 3x + 18 = 30
4x + 18 = 30
Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:
4x + 18 - 18 = 30 - 18
4x = 12
Finally, we can solve for x by dividing both sides by 4:
4x/4 = 12/4
x = 3
Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.
Please anyone help me on this
Answers
Step-by-step explanation:
iiiiii wiiish iit iis correeeeect
given the point A(-3,-2) and B(6,1), select two possible locations for point P so that P partitions AB in the ratio 2:1
A. (0,3)
B. (3,0)
C. (-1,0)
D. (0,-1)
E. (1,-1)
Answers
Answer: (0,3) & (0,-1)
Step-by-step explanation:
A boy earned $21.75 for babysitting. He spent of his
earnings to buy lunch.
How much money does the boy spend on his lunch?
Answers
Answer:
$21.75
Step-by-step explanation:
It says he spent his earnings on lunch.
At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 19.9 cm/s?
(Use decimal notation. Give your answer to three decimal places.)
Atte
Answers
Quickly does a cube's diagonal grow if its edges increasing at a rate of 19.9 cm/s.
d(Df)/dt = 19.9 √2 [cm/s]
and d(Dc)dt = 19.9√3 [cm/s]
Given that,
We have to find how quickly does a cube's diagonal grow if its edges grow at a rate of 19.9 cm/s.
Two diagonals exist in a cube, if you think about it. One is a cube diagonal (Dc) while the other is a face diagonal (Df) (Dc). Let's say that the edge's length is x.
Then, Df = √(x₂ + x₂) = x √2 ----------------------(1)
Dc = √(x₂ + x₂ + x₂) = x √3 ---------------(2)
Therefore, if you separate out each equation for time t,
d(Df)/dt = dx/dt times √2 -------------------(3)
d(Dc)/dt = dx/dt times √3 --------------------(4)
The edges are growing at a rate of 2 cm/s, hence in equation (3), dx/dt = 19.9 cm/s (4).
Therefore, d(Df)/dt = 19.9 √2 [cm/s]
and d(Dc)dt = 19.9√3 [cm/s]
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Alexander threw a dart at this board a total of 40 times. Predict the number of times the dart will land on the number 3.
PLZ HURRY
Answers
Answer:
5% chance so 2 times
Step-by-step explanation:
Got chu:)