A auto manufacturer claims that one of its car brands has mean MPG (miles per gallon) rating of 40 on the highway. Identify Type I error for this claim.
a. Fail to reject the claim that mean is 40 MPG when it is actually 40 MPG.
b. Fail to reject the claim that mean is 40 MPG when it is actually not 40 MPG.
c. Reject the claim that mean is 40 MPG when it is actually not 40 MPG.
d. Reject the claim that mean is 40 MPG when it is actually 40 MPG.
Answers
Answer:
d. Reject the claim that mean is 40 MPG when it is actually 40 MPG.
Step-by-step explanation:
The type 1 error could be said to have been made if the null hypothesis is erroneously rejected.
In the scenario above :
The null hypothesis (H0) : mean = 40
Hence, if the Null hypothesis defined above is rejected when in fact the hypothesis that the mean miles per gallon is actually 40.
On the other hand, the type 2 error occurs when a null which is false is not rejected.
Hence, when a true null is rejected, a type 1 error is committed. Similarly, when a false null isn't rejected, then a type 2 error has been committed.
hope this photo helps.enjoy
Related Questions
Help due in a bit!
subject: Pythagorean Theorem
Do the following lengths form a right triangle?
Answers
Answer:
alright this is an easy question to do u have to use the Pythagorean theorem which is a²+b²=c²
so put the number of the triangle in this form for #1
Step-by-step explanation:
1.6²+9²=8²
=117=64
2.5²+13²=12²
=194=144
25 miles/hour =_meters/minute
Answers
Find the polar equivalent of xy=6
Answers
Answer:
[tex]r^2 sin2\theta = 12[/tex]
Step-by-step explanation:
Given
[tex]xy = 6[/tex]
Required
Get polar equivalent
Polar coordinate [tex](r, \theta)[/tex] and rectangular coordinate [tex](x,y)[/tex] are related in such a way that:
[tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex]
So, substitute [tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex] in [tex]xy = 6[/tex]
[tex]rcos\theta * rsin\theta = 6[/tex]
This can be rewritten as:
[tex]r * cos\theta * r * sin\theta = 6[/tex]
Reorder
[tex]r * r * cos\theta * sin\theta = 6[/tex]
[tex]r^2 * cos\theta * sin\theta = 6[/tex]
Multiply both sides by 2
[tex]2 * r^2 * cos\theta * sin\theta = 6 * 2[/tex]
[tex]2 * r^2 * cos\theta * sin\theta = 12[/tex]
Reorder
[tex]r^2 * 2 * cos\theta * sin\theta = 12[/tex]
[tex]r^2 * 2cos\theta sin\theta = 12[/tex]
In trigonometry:
[tex]sin2\theta = 2sin\theta cos\theta = 2cos\theta sin\theta[/tex]
So, the expression becomes
[tex]r^2 * sin2\theta = 12[/tex]
[tex]r^2 sin2\theta = 12[/tex]
Hence, the equivalent of [tex]xy = 6[/tex] is [tex]r^2 sin2\theta = 12[/tex]
Explanation for solving the following equation
1/2(f+4)=8
Answers
Divide the whole thing by 1/2 to get rid of it.
f + 4 = 16
Subtract 4 on both sides
f = 12
Help please! I’ll give brainliest!
Answers
Answer:
i think the answer is B
i am sorry if this is wrong
Step-by-step explanation:
When playing the lottery game Cash4Life, you must choose a cash ball number from 1 through 4. What is the probability that the randomly drawn cash ball is at least 2?
A. 0.50
B. 0.75
C. 0
D. 0.25
Answers
Answer:
[tex]P(At\ least\ 2) = 0.75[/tex]
Step-by-step explanation:
Given
Balls = 1 to 4
Required
Determine the probability of selecting ball numbered at least 2
Here, we'll assume that all numbers have the same probability.
The probability of each ball will be:
[tex]Probability = \frac{1}{4}[/tex]
So:
[tex]P(At\ least\ 2) = P(2) + P(3) + P(4)[/tex]
Recall that
[tex]Probability = \frac{1}{4}[/tex] --- for each ball
So, the equation becomes
[tex]P(At\ least\ 2) = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}[/tex]
[tex]P(At\ least\ 2) = \frac{3}{4}[/tex]
[tex]P(At\ least\ 2) = 0.75[/tex]
Solve the equation -11<-x+2<3
Answers
Answer:
13 > x > -1
Step-by-step explanation:
-11 < -x + 2 < 3
~Subtract 2 both sides
-13 < -x < 1
~Divide -1 to both sides
13 > x > -1
Best of Luck!
Complete the square to form a true equation
X^2+4x+?=(x+?)^2
Answers
Three friends went out to dinner. Their bill came to $30.00, and
they decided to tip the waitress 20%. How much did they spend
in total?
Answers
Answer:
$36.00
Step-by-step explanation:
There are 2 methods
Method 1: 30*1.20=36
Method 2: 30*.20=6 30*6=36
A volleyball team drank 7.5 liters of water during their mat9. How many milliliters of water did the volleyball team drink?
Answers
Answer:
7500 milliliters
Step-by-step explanation:
7.5*1000
Which function has a range of (-pi/2,pi/2)?
y = Cos-1x
y = Tan-1x
y = Sec-1x
y = Csc-1x
Answers
Answer:
b) y=tan^-1(x)
Step-by-step explanation:
edge 2020
The surface area of a sphere is π sq.cm.If it's radius is doubled,by how much does its surface area increase?
Answers
Answer:
Doubling the radius of a sphere will increase its surface area 4 times
Step-by-step explanation:
The surface area of a sphere with radius r is given by the formula:
[tex]SA = 4\pi r^2[/tex]
Doubling the radius means: r=> 2r
Putting the new radius the new surface area will be:
[tex]SA_1 = 4\pi (2r)^2\\SA_1 = 4\pi (4r^2)\\SA_1 = 4(4\pi r^2)\\SA_1 = 4(SA)[/tex]
The new surface area with double radius is 4 times of the old surface area with r.
Hence,
Doubling the radius of a sphere will increase its surface area 4 times
A coin is tossed and number 1-8 is chosen at random. What is the probability of getting tails and a number greater than 3.
Answers
Answer:
5 in 8
Step-by-step explanation:
there is a 5 in 8 chance to get a number greater then 3
Jared tiene 8 dibujos. Le
regaló algunos a Wendy.
Jared ahora tiene
O dibujos. ¿Cuántos
dibujos le regaló
Jared a Wendy?
Answers
Answer
8.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
(-4)x(4+4-(6-(-10)) ?
Answers
Answer:
28
Step-by-step explanation:
| Why do we need it? | How to use brackets | The basic rules | The complete rules | Using calculators | Quick quiz |
Why do we need an order of operations?
Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?
We know there are 14, but how do we write this calculation? If we just write
2 + 3 x 4
how does a reader know whether the answer is
2 + 3 = 5, then multiply by 4 to get 20 or
3 x 4 = 12, then 2 + 12 to get 14?
A construction company can remove
1/3 metric tons of dirt from a construction site in 1/6
hours.
What is the unit rate in metric tons per hour?
Answers
Answer:
sorry not having idea about ans
Answer:
A construction company can remove
1/3 metric tons of dirt from a construction site in 1/6
hours.
What is the unit rate in metric tons per hour?
Me too
write the slope-intercept form of the equation of each line. (DONT do number 26 )
Answers
b: -1
Equation: -4x-1
27) m: 4
b: 4
Equation: 4x+4
28) m: 5/2 (or in decimals: 2.5)
b: 0
Equation: 5/2x or (2.5x)
Hoped this helped.
Answer:
25) -4, -1
Equation: -4x-1
27) 4, 4
Equation: 4x+4
29) 5/2,0
Equation: 5/2x
Step-by-step explanation:
Y=mx+b
about how many 18s are there in 250?a.10 b.12 c.15
Answers
Answer:
C. 15
Step-by-step explanation:
It's 13.888 about 14, so 15 is the closest answer.
b
Step-by-step explanation:
taking 250÷18=13.88~
Which of the following would be equivalent to 92.96?
(4 points)
(1.) 9^8/9^7
(2.) 8^2 • 9^7
(3.) 9^10/9^2
(4.) 90
Please help, Thanks
Answers
Answer:
(4.) 90
I think that's the answer
A copy machine can print 48 copies every 4 minutes. A teacher printed 72 copies how long did it take to print
Answers
Answer:
6 minutes
Step-by-step explanation:
72-48 = 24
so 24 + 48 = 72
and 48 / 4=12
which means 12 copies per minute and 24 copies is 2 minutes
A farmer harvested 35 acres of corn and 20 acres of beans. Animals ate 18
of the corn he originally planted. How many acres of corn did the farmer plant?
Answers
Read the sentences Taxi drivers themselves have to know nearly every street in the city. Paul drove himself around several neighborhoods to learn where the streets are since he wants to become a taxi driver.
Which choice correctly identifies two pronouns from the sentences?
himself (intensive), he (reflexive)
themselves intensive), himself (reflexive)
themselves (reflexive), himself (intensive)
himself (reflexive), he (intensive)
Answers
Answer:
Themselves(intensive) himself(reflexive)
Step-by-step explanation:
Question The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places. Provide your answer below:
Answers
Answer:
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
Step-by-step explanation:
Given
Mean = μ = 4500 acres
SD = σ = 780 Acres
Two data points between which the probability has to be calculated are:
3000 and 4800
x1 = 3000
x2 = 4800
z-score will be found for both data points
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
The z-scores are:
[tex]z_1 = \frac{x_1-mean}{SD} = \frac{3000-4500}{780} = \frac{-1500}{780} = -1.92\\z_2 = \frac{x_2-mean}{SD} = \frac{4800-4500}{780} = \frac{300}{780} = 0.3846[/tex]
Now we have to find probabilities for both z-scores using the z-score table
[tex]P(z_1<-1.92) =0.02743\\P(z_2<0.3846)= 0.6480[/tex]
Now for the probability between both values
[tex]P(-1.92<z<0.3846) = P(z_2) - P(z_1) = 0.6480-0.02743 = 0.62057[/tex]
Rounding off to four decimal places
0.6206
Hence,
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
Which of the following sets of numbers can be the lengths of the sides of a triangle?
Answers
Answer:
A. 2.6, 8.1, 10.2
Step-by-step explanation:
According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.
What is the slope of the line going through the points (2,5) and (-4,-1)?
Answers
I just answered this question a little while ago.
Have a wonderful day :)
And happy early thanksgiving!!
After a party there were 2 2/3 pepperoni pizzas and 1 5/6 cheese how many pizzas are left?
Answers
Answer:
4.5
Step-by-step explanation:
2+1=3
2/3+5/6=1.5
3+1.5=4.5
What is the unit rate $2.39 for 48oz to nearest tenth
Answers
Answer:
$0.05 per oz.
Step-by-step explanation:
2.39/48=0.049...... which is 0.05 to the nearest tenth. Money is never the unit rate so that is why you divide money by the measurement, in this case, ounces.
The prime factorization of each number is given. List all the factors of each number in prime factorization form.
Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.
1001=7∙11∙13
Answers
Answer:
1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13Step-by-step explanation:
Given
1101 = 7∙11∙13Factors of 1101:
1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13what is a square of side 8cm
Answers
Answer:
32cm^2
Step-by-step explanation:
8 x 4 = 32
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answers
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
