Answer:
6/9
Step-by-step explanation:
A company in Maryland has developed a device that can be attached to car engines, which it believes will increase the miles per gallon that cars will get. The owners are interested in estimating the difference between mean mpg for cars using the device versus those that are not using the device. The following data represent the mpg for random independent samples of cars from each population. The variances are assumed equal and the populations normally distributed. With Device Without Device 22.6 26.9 23.4 24.4 28.4 20.8 29.0 20.8 29.3 20.2 20.0 26.0 28.1 25.6 Given this data, what is the observed value of the test statistic for the difference in mean mpg? About 0.72 About 2.18 About 25.45 mpg None of the above
Answer:
About 0.72
Step-by-step explanation:
Given the data:
With device : 22.6, 23.4, 28.4, 29, 29.3, 20.0
Without device :26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6
Using calculator:
With device data:
Sample size (n1) = 6
Degree of freedom (df1) = 6 - 1 = 5
Mean(m1) = 25.45
Variance (s²1) = 15.631
Without device data:
Sample size (n2) = 8
Degree of freedom (df2) = n - 1 = 7
Mean (m2) = 24.1
Variance (s²2) = 9.54
s²t = ((df1/(df1 + df2)) * s²1) + ((df2/(df1 + df2)) * s²2)
s²t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)
= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775
s²m1 = s²t/n1 = 12.0775/6 = 2.0123
s²m2 = s²t/n2 = 12.0775/8 = 1.511
T - statistic :
Tstat = (m1 - m2)/√(s²m1 + s²m2)
Tstat = (25.45 - 24.10) / √(2.0123 + 1.511)
Tstat= 1.350/√3.5233
Tstat = 1.350 / 1.8770455
Tstat = 0.7192153 = 0.72
In this exercise we want to use the knowledge of statistics and probability to calculate the statistical test that counts:
[tex]0.72[/tex]
First, we have to separate the data informed in the text and analyze it, like this:
With device : [tex][22.6, 23.4, 28.4, 29, 29.3, 20.0][/tex] Without device : [tex][26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6][/tex]
Now doing with the device data calculations, we will find that:
Sample size ([tex]n_1[/tex]) = 6 Degree of freedom ([tex]df_1[/tex]) = 5 Mean ([tex]m_1[/tex]) = 25.45 Variance ([tex]s^2_1[/tex]) = 15.631
Now doing without device data calculations, we will find that:
Sample size ([tex]n_2[/tex]) = 8 Degree of freedom ([tex]df_2[/tex]) = 7 Mean ([tex]m_2[/tex]) = 24.1 Variance ([tex]s^2_2[/tex]) = 9.54
So to calculate the variance of the population we will use the data given above:
[tex]s~2t = ((df_1/(df_1 + df_2)) * s^2_1) + ((df_2/(df_1 + df_2)) * s^2_2)\\s^2t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)\\= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775\\s^2m_1 = s^2t/n_1 = 12.0775/6 = 2.0123\\s^2m_2 = s^2t/n_2 = 12.0775/8 = 1.511[/tex]
For the calculation of the statistical test, we found that:
[tex]Tstat = (m_1 - m_2)/\sqrt{(s^2m_1 + s^2m_2)} \\Tstat = (25.45 - 24.10) / \sqrt{(2.0123 + 1.511)} \\Tstat= 1.350/\sqrt{3.5233} \\Tstat = 1.350 / 1.8770455\\Tstat = 0.7192153 = 0.72[/tex]
See more about statistics at brainly.com/question/10951564
2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:
Answer: (1, -8)
M = x1 + ×2 / 2 & y1 + y2 / 2
x1 = 10, y1 = -11 x2 = -8 y2 = -5
M = 10 + (-8) / 2 & -11 + (-5) / 2
Answer = 1, -8
PLZ HELP REALLY FAST
If 21 hours are worked, what are the total earnings?
*
2 points
HOURS WORKED
3
7
15
24
30
TOTAL EARNINGS
$46.50
$108.50
?
$372.00
$465.00
Nour answer
The
Yes
Answer:
232.50
Step-by-step explanation:
46.50÷3=15.5
15.5 is your money per hour/s
15.5x15=232.50
Find the slope of the line from two given points: (12,-18) and (-15,-18)
Answer:
The answer is 0
Step-by-step explanation:
use the slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
12 is xsub1
-18 is ysub1
-15 is xsub2
-18 is ysub2
now solve!
[tex]m= \frac{-18-(-18)}{-15-(12)}\\=\frac{0}{3} \\=0[/tex]
slope is 0.
hope this helps!
Answer:
The slope of the line is 0. It's a horizontal line.
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (12,-18) (-15,-18).
Calculate the slope:
[tex]\displaystyle m=\frac{-18-(-18)}{-15-12}[/tex]
[tex]\displaystyle m=\frac{-18+18}{-27}[/tex]
[tex]\displaystyle m=\frac{0}{-27}=0[/tex]
The slope of the line is 0. It's a horizontal line.
A line passes through the point (0, -1) and has a positive slope. Which of these points could that line pass through?
Check all that apply.
(12,3)
(-2,-5)
(-3,1)
(1.15)
(5,-2)
Answer:
(12, 3), (-2, -5), (1, 15)
Step-by-step explanation:
The line can pass through any point with a positive x-value and a y-value greater than -1. Those points include ...
(12, 3), (1, 15)
The line can pass through any point with a negative x-value and a y-value less than -1. That point is ...
(-2, -5)
__
In the attached, the green lines have positive slope; the red lines do not.
Answer:
A line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all that apply.
(12, 3) Correct
(–2, –5) Correct
(–3, 1)
(1, 15) Correct
(5, –2)
Step-by-step explanation:
Got it right on edge 2023
Hope you have a great day peeps!
0.007 divided by 10 equivalent to 0.07
Does 0.007/10=0.07
true or false?
Answer:
NO if you wanted to get 0.07 you would have to multiply not divide.
Step-by-step explanation:
0.007/10=0.0007
If you horizontally shift the linear parent function f(x)=x left two units what is the equation of the new function?
Answer:
This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative.
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
What is the function equation of this table?
Answer:
-2/-9
Step-by-step explanation:
The -2 would be the junction and so on the graph it would say -9 to the x
Factor the trinomial
3n²-8n+4
Answer:
(3n-2)(n-2)
Step-by-step explanation:
Uh, uh, uh, uh
Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
4x times 5 k
Step-by-step explanation:
How do you do this question?
Answer:
14/29
Step-by-step explanation:
Simply substitute 5 for n.
a₅ = (5 + 9) / (5×5 + 4)
a₅ = 14 / 29
If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
Juan is considering two gym membership options. Gym A charges an enrollment fee of $250 plus $19 per month. Gym B charges an enrollment fee of $195 plus $24 per month. When will both gym memberships cost the same?
Answer:
No Gym A cost $30 more dollars than Gym B.
Which of the following is the value of PQ ?
Helllp please
Answer:
B. 61
Step-by-step explanation:
Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.
Therefore,
[tex] RQ = SQ [/tex]
[tex] 3x + 16 = 7x - 24 [/tex]
Collect like terms
[tex] 16 + 24 = 7x - 3x [/tex]
[tex] 40 = 4x [/tex]
Divide both sides by 4
[tex] \frac{40}{4} = \frac{4x}{4} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
Find PQ:
[tex] PQ = 2x + 41 [/tex]
substitute x = 10 into the equation
[tex] PQ = 2(10) + 41 [/tex]
[tex] PQ = 20 + 41 [/tex]
[tex] PQ = 61 [/tex]
What is the equation of the line that passes through the point (−8,7) and has a slope of 0?
Step-by-step explanation:
formula = y - y1 = m2 ( x - x1)
y - 7 = 0 ( x - (-8))
y - 7 = 0
y = 7
Identify the slope and y-intercept of the line on the graph. The write the equation of the line in slope-intercept form.
Answer:
7. m= 3 b= -4
Step-by-step explanation:
The line has a slope of 3/1 and a y-intercept of 0, -4. y=3x-4
Find the 8th term of the geometric sequence 4, -12, 36, ...
Answer:
-8748
Step-by-step explanation:
Each number you are multiplying by -3
Evaluate 4
M-n if m= -7 and n = 2.
Answer:
-9
Step-by-step explanation:
Which would the phrase "five more than a number" look like as a variable
expression?
x + 5
5 - x
5x
5x + 5
Answer:
x + 5
Step-by-step explanation:
I'm not sure how to explain this, sorry!
Simplify.
(x6y3)−2x−5y−8
Answer:
18xy-2x-5y-8
Step-by-step explanation:
Просто умножьте,то что было в скобках
what is the product of 4/9 and 1/11? 4/99. 5/99. 9/44. 1/4
Answer:
Option A 4/99
Step-by-step explanation:
4 x 1 = 4
9 x 11 = 99
4/99
What is f(5) for the function f(x) = 2x+4
Answer: 1/2 half
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
f(5) you plug in 5 as x
2(5)+4
2×5=10
10+4=14
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is yards, what are its dimensions 76
Answer:
The length is 25.3 yards, while the width is 12.7 yards.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(l + w)
where l is its length and w the width.
Given that:
perimeter = 76 yards
It is twice as long as its wide, length = 2w
width = w
Then,
P = 2(l + w)
76 = 2(2w + w)
divide through by 2, to have;
38 = 2w + w
38 = 3w
⇒ w = 12.67 yards
Thus,
length = 2w = 2 x 12.67 = 25.34 yards
The length is 25.3 yards, while the width is 12.7 yards.
The order in which to perform operations when simplifying an expressions with more than one operation
Answer:
First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.
Step-by-step explanation:
Which point on the number line represents 30%?
Answer:
Point S
Step-by-step explanation:
30% can be rewritten as 0.30, which happens to be where point s falls, on the third mark between 0 and 1.
Answer: T
Step-by-step explanation:
Idk if this is true but if you're looking for 30% on one, you'd want to count the total amount of spikes before number one. There are 10, so you can probably infer that 30% of 10 is 3, making it T.
A lamp was originally sold for $120.00. How much does it cost after a 20% discount??
Answer:
96
Step-by-step explanation:
the final value is 96 dollars
PLZ HELP I WILL MARK BRAINLEST!
Answer:
Most likely B.}21 inches,
Please mark me brainliest
Answer:
The answer is B, 21 inches
Step-by-step explanation:
You find what happened with the width which is time 3. Then you multiply 7 by 3 to get 21!
Hopefully that helps! Please mark BRAINILEST
