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.
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Related Questions
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answers
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
Which method could be used to prove they are similar?
1.5
3
4.5
Jy
Answers
Answer:
Prove what is similar?????
An envelope is 48 centimeters wide, and it measures 52 centimeters along the diagonal. How tall is the envelope?
Answers
Answer:
20 cm.
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).
Plug it in.
48^2 + b^2 = 52^2
2,304 + b^2 = 2,704
Isolate the variable.
b^2 = 400
b = 20
Why are arithmetic sequences discrete data?
Answers
Answer:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Step-by-step explanation:
Answer:
A sequence is a discrete structure used to represent an ordered list.
Step-by-step explanation:
Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.
not sure need help
Answers
Answer:
The answer is 504 ft ^3 check my solution
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.
Answers
The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, and Housing expenses $1,300. Which of the following shows the percentage of income used for housing expenses
Answers
Answer:
1867
Step-by-step explanation:
took the test
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
Answers
Answer:
It is the first one 15 is the y intercept slope 8/1
Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?
Answers
5² × 2⁵ = 25 × 32 =. 800
Hope this helps
Sidh is making fruit salad. His recipe calls for 3/4 pound of watermelon. He wants
to make 1/2 of the amount of fruit salad in the recipe. How much watermelon does Sidh need?
Answers
Answer:
3/8
Step-by-step explanation:
3/4 x 1/2 = 3/8
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answers
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% loaded .
Answers
Answer:
You will have 40 mins before 100%
Step-by-step explanation:
The number of minutes taken to completely load is 60 minutes.
Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Remaining virus to load =100-28
= 72
The rate of 12% every 10 minutes
Now, 72/12
= 6
So, 6×10 =60 minutes
Therefore, the number of minutes taken to completely load is 60 minutes.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Can anyone help it would mean alot im struggling right now
Answers
Answer:
what do you need? ^-^ I can help you
ttttttttttttttttttttttthhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeerrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
(C)
Seven more than a number, x, is at most 20
Answers
Answer:
x+7 ≤ 20
Just take it step by step:
seven more than a number is a number plus 7 (x+7)- keep in mind we dont know what the number is so we use x to represent the number.
it then says it's equal to at most 20.
This means that it cant equal anything above 20 since 20 is the max. Therefore, it must be 20 and below that x+7 equals
x+7≤ 20
≤ -this symbol means less than or equal to
Step-by-step explanation:
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answers
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
Is the following relation a function?
Yes
or
No
Answers
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
Pls help with right answers
Answers
Answer:
Ava gives each cat 2 treats. 3 treats are left.
Step-by-step explanation:
15/6 = 2.5
If she wants to split them evenly then she can only give each cat 2 treats. so 2 x 6 = 12 which means that there are 3 treats left
Answer:
She will give 2 cat treats to each cat, with 3 cat treats remaining.
Step-by-step explanation:
Alright, it wants us to find what 15 divided by is is with the remainder.
6 goes into 15, 2 times, resulting in 12.
15 - 12 = 3
This means that she will give 2 cat treats to each cat, with 3 cat treats remaining.
I Hope this Helps!
Have a Great Day (because some other kid tried to ruin mine, but I won't let it affect me)!
20 less than the sum of eight and a number?
Answers
Answer:
(8 + x) - 20
Step-by-step explanation:
Answer:
The answer is (8 + x) - 20
Step-by-step explanation:
NEED HELP DESPERATELY PLEASE IT IS MULTIPLE CHOICE
Answers
If r = 18 cm, what is the area of this sector? Express your answer
to the nearest tenth of a centimeter.
A 424.2 cm?
536.2 cm?
1
508.9 cm
834.1 cm?
Answers
Answer:
466
Step-by-step explanation:
nnnnnnnn
If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper
Answers
Answer:
b
Step-by-step explanation:
this is for the 20 characters thing
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answers
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
Which statement is true about the equation shown below?
10 – 2 (4x – 3) = 2x + 7 – 10x
A.The only solution to the equation is x=9/16
B.The only solution to the
equation is x=9/20
C.The equation has infinite
solutions.
D.The equation has no solution.
Answers
Answer: C.The equation has infinite
solutions.
find percent increase
from 24 teachers to 30 teachers ___
Answers
A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
Answers
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Read more about difference of two squares at:
https://brainly.com/question/23651973
Find the inverse of the function.
Answers
Answer:
A) [tex]f^{-1}(n)= (n+2)^3[/tex]
Step-by-step explanation:
[tex]f(n) = \sqrt[3]{n} -2[/tex]
[tex]y = \sqrt[3]{n} -2[/tex]
[tex]y = n^{1/3}-2[/tex]
[tex]n = y^{1/3} -2[/tex]
[tex]n + 2 = y^{1/3}[/tex]
[tex]y = (n + 2) ^3[/tex]
[tex]f^{-1}(n) = (n + 2)^3[/tex]
Hope this helps!
Answer:
Option A
Step-by-step explanation:
f(n) =∛n-2
y= ∛n-2
Interchange y and n
n =∛y-2
Subtract -2 on both sides
n+2 = ∛y
both both sides to the 3rd power:
(n+2) to the 3rd power = y
Inverse :
f-1(n) = (n+2) to the 3rd power (option A)
A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed
Answers
Answer:
[tex]Codes= 512[/tex]
Step-by-step explanation:
Given
[tex]Switches = 9[/tex]
[tex]Controls = 2[/tex] ------- on or off
Required
Determine the number of codes to be programmed
Since each switch has any of the on or off controls (i.e on or off), then:
The first switch can be coded in any of the 2 controls
The second switch can be coded in any of the 2 controls
The third switch can be coded in any of the 2 controls
Up till the ninth switch
So, we have that:
[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]
[tex]Codes = 2^9[/tex]
[tex]Codes= 512[/tex]
Hence, there are 512 possible codes
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
How do I know if the triangles are simulat
Answers
Answer:
triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal
Step-by-step explanation: