An automobile manufacturer claims that its car has a 37.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 120 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.1. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis.

Answers

Answer 1

Answer:

fail to reject the null hypothesis

Step-by-step explanation:

Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.


Related Questions

La entrada al zoológico cuesta 3.341 ¿cuánto cuesta la entrada para un grupo de 75 niños?

Answers

Answer:

250.575

Step-by-step explanation:

3.341 * 75 = 250.575

the park is 3 miles long and 2 miles wide. manuel walked around the park two times. how many miles did he walk in all?

(im pretty sure im wrong but is the answer 12?)

Answers

Answer:

20 miles.

Step-by-step explanation:

You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.

I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.

3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20

what is 8 equitation 2+3(36 divided by 6) -2

Answers

Answer:

18

Step-by-step explanation:

2+3(36/6)-2 = 2+3(6)-2 = 2+18-2 = 18

Answer:

18

I don't know what that 8 is about but if you want to solve the equation here is the answer

Step-by-step explanation:

2+3(36/6)-2

2+3(6)-2

2+18-2

18

Answer: 18

On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.

"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."

"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."

"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."

Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "

"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."

How much are the rides? How much did Marc spend

Answers

Answer:

Cost of one Teacup =  $3

Cost of one Roller coaster =  $4

Cost of one Spinning Vortex = $6

Marc spent = 3x + 2y + 2z = $29

Step-by-step explanation:

Let

Cost of one Teacup = x

Cost of one Roller coaster = y

Cost of one Spinning Vortex = z

In Kristen case -

2x + 2y + z = $20

In Jorge case -

x + y + 3z = $25

In Lakesha case -

5x + 2y + z = $29

In Marc case -

3x + 2y + 2z = ?

Now, we have

2x + 2y + z = $20       ......(1)

x + y + 3z = $25         ........(2)

5x + 2y + z = $29      .........(3)

Now,

Subtract equation (1) from equation (3), we get

5x + 2y + z - ( 2x + 2y + z ) = $29 - 20

⇒5x + 2y + z - 2x - 2y - z  = $9

⇒3x = $9

⇒x = $3

Now,

Multiply be 2 in equation (2) , we get

2x + 2y + 6z = $50        ........(4)

Now,

Subtract equation (1) from equation (4), we get

2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20

⇒2x + 2y + 6z - 2x - 2y - z  = $30

⇒5z = $30

⇒z = $6

Now,

Put the values of x and z in equation (2) , we get

$3 + y + 3($6) = $25

⇒$3 + y + $18 = $25

⇒y + $21 = $25

⇒y = $25 - 21

⇒y = $4

∴ we get

Cost of one Teacup = x = $3

Cost of one Roller coaster = y = $4

Cost of one Spinning Vortex = z = $6

Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29

If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?​

Answers

Answer:

false

Step-by-step explanation:

half of 60 dollars is 30

think of it as half of 6

Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.

Answers

Answer:

2/8, 5/8

Step-by-step explanation:

[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

In a survey, 150 seventh graders said that they had been to a foreign country. That number represented 20% of the students who were surveyed. How many students were surveyed?

Answers

Answer:

750

Step-by-step explanation:

150/2=7.5

7.5*100=750

750*0.2=150

write an expression that is equivalent to (x-5)²​

Answers

Answer:

x²-10x+25

Step-by-step explanation:

expand the expression

(x-5)²

(x-5)(x-5) distribute

x²-5x-5x+25

combine like terms

x²-10x+25

if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.

What is the equivalent measure of 2.8 grams in hectograms?

Answers

Answer:

0.028 hectograms

Step-by-step explanation:

1 gram = 0.01 hectograms

A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?

a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Answers

Answer:

e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval for the difference  in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)

The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.

what is the approximate area of the shaded sector in the circle shown below?​

Answers

Answer:

4,71cm3

Step-by-step explanation:

calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide

Answer:

B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²

HELP PLEASE!! thanks

Answers

Answer:

352

but for the 3 it would be 264

I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
‍♀️

Answers

The first question’s answer is: C. Right 1 & Up 2

The second question’s answer is: D. Left 6 & Up 15

Hope this helps!! :)

a number y divided by 6 is no more than 2​

Answers

Try 2 if i am wrong then please do correct me

Answer:

2

Step-by-step explanation:

Solve the inequality 5 - 4x > -x+8​

Answers

Answer:

x<-1

Step-by-step explanation:

5-4x>-x+8

adding 4x to both sides we get

5>3x+8

subtracting eight from both sides we get

-3>3x

dividing by three on both sides we get

-1>x

or x<-1

hope that helps if it does please mark my answer as brainliest.

100% of what equals 12​

Answers

Answer:

12

Step-by-step explanation:

Asking for a friend please help

Answers

Answer:

=1/15

Step-by-step explanation:

this is the answer is = 1/15 hope this helps your friend out!

how many terms of arithmetic sequence 3;11;19.... will add up to 1580​

Answers

Answer:1.58

Step-by-step explanation:

The number of terms in the sequence will be 20 adds up to 1580​.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question, as follows:

3; 11; 19....

We have to determine the number of terms of the sequence will add up to 1580​

The sum of an arithmetic sequence is the sum of the first n terms of the sequence as

Sₙ = n/2(2a+(n−1)d)

In arithmetic, here a₁ is the first term and sequence d represents the common difference.

As per the question,

d = 11 - 3 = 8, a = 2 and S = 1580

Substitute the known values in the formula, and solve for n

1580 = n/2(2x3+(n-1)8)

1580 x 2 = n(6 + 8n - 8)

Solving the above equation, we get

n = 20, and -79/4

Thus, the number of terms in the sequence will 20.

Learn more about arithmetic sequence here:

brainly.com/question/21961097

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Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?

Answers

Answer:  Theta = 13 degrees

==========================================================

Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

-------------------------

Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

-0.5 how do I write the repeating decimal as a fraction?​

Answers

Answer:

-1/2

Step-by-step explanation:

What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1

Answers

Answer:

6

Step-by-step explanation:

6 is the correct answer because-3-3+1

5.6 x N= 2.24 N=? Please help

Answers

Answer:

N = -3.36

Step-by-step explanation:

5.6 x N= 2.24

-5.6          -5.6

N= -3.36

Answer:

N= 0.4

Step-by-step explanation:

5.6 x N= 2.24

Divide both sides by 5.6

5.6 and 5.6 cancel out

2.24/5.6= 0.4

Check your work

5.6 x 0.4 =2.24

0.4 is correct

Hope this helps ^-^

multiples that are shared by two or more numbers called

Answers

Answer: Common Multiples

Step-by-step explanation:

15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?

*IMAGE LINKED*

4x+16

4(x+3)

x+34

-4(x+3)​

Answers

Answer:

It would be 4(X + 3)

Step-by-step explanation:

There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).

Heres a challenge!! Marking most Brainly:)))

Answers

Answer:

(30, 90) is a viable solution

(50, 160) is a nonviable solution

Step-by-step explanation:

using digits 3,6,1 and 5 write the greatest decimal number less than 1 that can be formed without repeating any digit. write it in words​

Answers

0.6531
Six tenths, five hundredths, three thousandths, one ten thousandth.

The average age of students in a class is 8 years and 5 months. Express the age in seconds.​

Answers

Answer:

its like 4 yrs

Step-by-step explanation:

Answer:

265,248,000 seconds

Step-by-step explanation:

Assumptions are going to be made. No leap years so every year is 365 days, and each month is 30 days. 8x365+5x30=3070 days

24x60x60=86400 seconds in one day

Multiply those two together to get the answer.

can you find the measure of b plz

Answers

Answer:

b=53 degrees

Step-by-step explanation:

90 degrees - 37 degrees = 53 degrees

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

for 7 its r and u and r and s. and for 8 its all.

Step-by-step explanation:

What is the slant height for the given pyramid to the nearest whole unit height

Answers

Answer:

Step-by-step explanation:

The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.

base of right triangle = 6 cm

height of right triangle = 8 cm

hypotenuse = √(6²+8²) = √100 = 10 cm

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