Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?

Answers

Answer 1

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

Using formula:

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

          [tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

          [tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

Formula:

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

      [tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.


Related Questions

21 = 7 + 4f what is f

Answers

Answer:

f= 3.5

Step-by-step explanation:

Look at attachment for further explanation

Hope this helps (:

Hello
Can anyone answer this
9+x=190

Answers

Answer:

9+x=190

Step-by-step explanation:

9+181=190

You make x the subject and group like terms which will be
x=190-9
x=181

1) f(x)=2x+5
What is -2 [f(x)]-1?

Answers

Answer:

-4x - 11

Step-by-step explanation:

-2[f(x)] - 1

= -2[2x + 5] - 1

= -4x - 10 - 1

= -4x - 11

please help me please i really need help please

Answers

Answer:

Step-by-step explanation:

(3x+3y)=6

3x + -3y = 6

3x + -3y = 6

3x + -3y + 3y = 6 + 3y

3x + 0 = 6 + 3y

3x = 6 + 3y

x = 2 + y

x = 2 + y

4.5=2c I need help plz

Answers

Answer:

[tex]c=2.25[/tex]

Step-by-step explanation:

[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]

Swap the sides > =2c=4.5 then divided both sides c=2.25 there’s ya answer

A fair dice has six sides, numbered 1 to 6
After it is rolled, five of the numbers can be seen.
a) Write down the probability that one of these five numbers is 3
b) Work out the least possible sum of the five numbers​

Answers

(a). The probability that one of these five numbers is 3 is [tex]\frac{5}{6}[/tex].

(b). The least possible sum of the five numbers​ is 15

Probability:

Probability is the ratio of number of favourable outcomes to the total number of outcomes.

When a fair dice has six sides, numbered 1 to 6 ,After it is rolled, five of the numbers can be seen.

The probability that one of these five numbers is 3 is computed as,

                        [tex]P(E)=\frac{5}{6}[/tex]

The least possible sum of the five numbers, when the number 6 is hidden.

Least sum = 1 + 2 + 3 + 4 + 5 = 15

Learn more about the probability here:

https://brainly.com/question/24756209

(a) Write the ratio 32 : 80 in its simplest form​

Answers

Answer:

Therefore, 32/80 simplified to lowest terms is 2/5.

Quince menos que un numero

Answers

Answer:

14  xd xd xd

Step-by-step explanation:

xd xd xd

Answer:

fifteen less than a number.

Why doesn't the SSA triplet guarantee triangle congruence?​

Answers

Answer: Because Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.The AS.S Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILY congruent. And The SSA (or AS.S) combination deals with two sides and the non-included angle. This combination is humorously referred to as the "Donkey Theorem". SS.A (or AS.S) is NOT a universal method to prove triangles congruent since it cannot guarantee that the shapes of the triangles formed will always be the same.

Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️❤️

A person walks 1/7
mile in
1/21
hour.
The person's speed is
miles per hour. help me pls fast

Answers

Answer:

3 Miles per hour. (MPH)

Step-by-step explanation:

This would be 1/7 x 21 = 21/7 = 3

the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need ​

Answers

Answer:

36 pegs (for the hypotenuse)

About 51 pegs (for the legs)

138 pegs (total)

Step-by-step explanation:

Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.

The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.

Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.

Hope it helps!

Are lines e and f parallel? Show your work.

Answers

Answer:

last two both should be = 180

Step-by-step explanation:

Find the total amount in Mr. G’s account, if he invests $9000 for 5 years at a 6% interest rate.

Answers

Answer:

20,000

Step-by-step explanation:

for 5 6% at those with division 20,000 together and they would have 20,000

3. What is slope of the line above?
4. What is slope of the line above?


help!

Answers

The answer is

3.) -1/2
4.) 4/3

Bella makes 579 bracelets to sell. She wants to pack the bracelets into 12 boxes. 50 bracelets are packed into each of the first 11 boxes. How many bracelets will be packed into the last box?

Answers

50x11=550
579-550=29
29 bracelets will be in last box

Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease.
Round your answer to the nearest percent.
Do NOT round until you have calculated the final answer.

Answers

Answer:

The percent decrease was of 32%.

Step-by-step explanation:

The percent decrease is the decrease multiplied by 100, and divided by the initial value.

Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month.

So a decrease of 83.75 - 56.95 = $26.80

Percent decrease:

26.80*100/83.75 = 32%

The percent decrease was of 32%.

13.6.4 Quiz: The Quadratic Formula
Which two values of x are roots of the polynomial below?
x²-3x+5
O A. X=3--11
x3
O B. X=-3-17
I c. x= -3+
-3+ VTT
I D. X=
3-√23
Ex=
3+ -11
DEX=
3+29

Answers

The answer is: bye hope you get it right

I need this solved please.

Answers

32 divided by 8 - 4 quizes per week

Answer: 4 quizzes each week

Step-by-step explanation: all you have to do it divide the numbers like 12 divided by 3 would be 4

6. Red carpet tiles need to go on the dance floor for the
valentine's dance. The floor has a length of 9m and a width
of 8m. What is the area of the dance floor?
7. Use information from Q6 above
Each tile is 25cm by 25cm.
How many tiles do you need for the dance floor?

Answers

Answer:

6. 72 m²

7. 1152 tiles

Step-by-step explanation:

6. Determination of the area of the dance floor.

Length (L) = 9 m

Width (W) = 8 m

Area (A) =?

Area of the floor (rectangle) = L × W

A = 9 × 8

A = 72 m²

Therefore, the area of the dance floor is 72 m²

7. Determination of the number of tiles needed for the dance floor.

We'll begin by converting the dimension of the tile to metre (m). This can be obtained as follow:

100 cm = 1 m

Therefore,

25 cm = 25 cm × 1 m / 100 cm

25 cm = 0.25 m

Thus, the dimension of the tile is 0.25 m by 0.25 m

Next, we shall determine the area of the tile. This can be obtained as follow:

Dimension of tile = 0.25 m by 0.25 m

Area of tile = 0.25 × 0.25

Area of tile = 0.0625 m²

Finally, we shall determine the number of tile needed. This can be obtained as follow:

Area of the floor (Aₔ) = 72 m²

Area of tile (Aₜ) = 0.0625 m²

Number of tile (n) =?

n = Aₔ / Aₜ

n = 72 / 0.0625

n = 1152 tiles

Therefore, the number of tiles needed for the dance floor is 1152 tiles

which expression is equivalent to 5* 5 * 5?

Answers

Answer:

three one

Step-by-step explanation:

5*5*5

5 to the power of 3 since 5 and your multiplying it 3 times

Help person right gets brainlist​

Answers

correct answer is = 3 17/28
brainliest?
P= 3 17/28
If its mixed number

P=3.60714285
If its need to be decimal

Just copy the answer from the pic

The population of a school is 800 students and is increasing at a rate of 3% per year. How many students will be there in 6 years?

Answers

Answer = 955

At a constant rate of 3% year over year their would be 955 students after 6 years

Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?​

Answers

Answer:

96

Step-by-step explanation:

3M=T

T-24=M+24

substitute for T in second equation

3M-24=M+24

solve for M

M=48/2; M=24

and T=72

together is 96

the person above is correct

Land's Beginning is a company that sells its merchandise through the mail. It is considering buying a list of addresses from a magazine. The magazine claims that at least 25% of its subscribers have high incomes (they define this to be household income in excess of $100,000). Land's Beginning would like to estimate the proportion of high-income people on the list. Checking income is very difficult and expensive but another company offers this service. Land's Beginning will pay to find incomes for an SRS of people on the magazine's list. They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.

Answers

Solution :

It is given that we use CI = 95%

Therefore, the value of z = 1.96 as the [tex]$P(-1.96 <z<1.96)=0.95$[/tex]

Also, here it is given that E = 0.05 and the value of p = 0.25

Thus from the formula of E, we can find n

[tex]$E= z \times \sqrt{\frac{pq}{n}}[/tex]

[tex]$n= \left(\frac{z}{E}\right)^2 \times p \times q$[/tex]

[tex]$n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$[/tex]

  = 288.12

  = 289

17:3 and 15:60 Equivalent ratios

Answers

Answer:

Step-by-step explanation:

17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.

15:60 = 1:4

ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?

Answers

Answer:

23 of the coins will be quarters

Step-by-step explanation:

1. Write the standard form of the 6 in the numbel
. *
1 p
792,348,612

Answers

Answer:

600

Step-by-step explanation:

5&---------------------

what is the length of segment SA? show your work please I will give you brainliest​

Answers

Answer:

SA=3

Step-by-step explanation:

9/11.7=10/x

9x=117

117/9=13

13-10=3

Answer:

3 ft

Step-by-step explanation:

Use ratios:

SB/TB = SA/TC10/9 = SA/2.7SA = 10*2.7/9SA = 3 ft

Just the answers please

Answers

Angle E to angle T
Angle F to angle S
Angle G to angle U
EF is TS
FG is SU
TU is GE
Hope it helps :)

Help, please it's due soon?

Answers

9514 1404 393

Answer:

  398,765

Step-by-step explanation:

If s represents the number sold to date, the given relation is ...

  0.081s = 32300

  s = 32300/0.081 ≈ 398,765 . . . . . . divide by the coefficient of s

398,765 copies have been sold to date.

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