An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.

Answers

Answer 1

Answer:

Test statistic Z = 1.8099

Step-by-step explanation:

Step(i):-

Given that mean of the Population (μ) = 59.1 miles/gallon

Mean of the sample (x⁻ ) = 59.5

The standard deviation of the Population = 2.89

mean of the sample (n) = 160

Step(ii):-

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]

              Z = 1.8099

Test statistic = 1.8099


Related Questions

Find the area of this Parallelogram.

Answers

Which one??? Can’t see the parallelogram

what is 1000×80,000 in stuck on this

Answers

Answer:

80,000,000

Step-by-step explanation:

Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х

Answers

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

what percentage of 130 liters is 6.5 liters?​

Answers

Answer:

2%

Correct Answer : 2%

Required Percentage = [ (130/(6.5 * 1000)) * 100]% = 2%.

Step-by-step explanation:

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Triangle PQR is similar to triangle XYZ
Select all angles that have a cosine of 9/15

Answers

Answer:

Step-by-step explanation:

All the angles that have a cosine of 9/15 are,

⇒ ∠P and ∠X

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Triangle PQR is similar to triangle XYZ.

Hence, We get;

In triangle PQR,

cos P = 9/15

And, In triangle XYZ,

cos X = XZ / ZY

cos X = 9 / 15

Thus, All the angles that have a cosine of 9/15 are,

⇒ ∠P and ∠X

Learn more about the angle visit;

https://brainly.com/question/25716982

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What's equivalent to 2/5?

Answers

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

??????????????????FAST HELP PLZ

Answers

Answer:

[tex]y = \frac{2}{3} x - 2 \\ [/tex]

A printer prints 24 pages in 3 minutes which unit rate is correct

Answers

Answer:

 8 pages per minute

Step-step explanation:

24 / 3

In a bag of Starbursts, 30% of the bag is pink. There are 90 pink starbursts in the bag. How many Starbursts are in the bag?

Answers

Answer:

27

Step-by-step explanation:

3/10 / 30% / .3

3        x

10        90            -use criss cross method so 3 and 90 and x times 10

270 =10x

27=x

you can also go on a calculator and type 90 times 0.3 and get the answer too

SIMPLIFY IT PHOTO IS UP I WILL MARK IT BRAINLIEST

Answers

Step-by-step explanation:

Notice that

9y² - 4xy + 4x²/9 = (3y - 2x/3)².

Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)

= (3y - 2x/3).

Answer:

(9y²-4xy+4x²/9)/(3y-2x/3)

={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)

=(3y-2x/3)²/(3y-2x/3)

=(3y-2x/3)

(3y-2x/3) is the right answer.

The area of
of a rectangle is (14x^4 + 7x^2) cm²
and its breadth is 7x^2 cm. Find its length.​

Answers

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

Answer:

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

[tex] = \frac{(14{x}^{4} + 7 {x}^{2})}{7 {x}^{2} } \\ = \frac{7 {x}^{2}(2 {x}^{2} + 1) }{7 {x}^{2} } \\ = (2 {x}^{2} + 1) \: c {m}[/tex]

(2x^2+1) cm is the right answer.

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

Answers

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Solve this equation:

5x^4+ 50x^2 +80=0

Answers

Answer:

x =√-1.403 = 0.0 - 1.18454 i

x =√-1.403 = 0.0 + 1.18454 i

x =√11.403 = -3.37685

x =√11.403 = 3.37685

Step-by-step explanation: i think either one of these could work

hope i could help :)

3
Add. Write the expression below in simplest form.
(-2x + 10) + (-8x - 1)

Answers

Answer:

The answer is -10x + 9

Step-by-step explanation:

Combine like terms.

-10x + 9

Hoped this helped!

Could I get brainly?

Can someone tell me how to do this?

Answers

Answer:

6w+32

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Answers

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

Using the diagram below, determine how many miles the school is from the store.
Store
x miles
School
16
miles
20 miles
Museum
how miles the school is from the store

Answers

The school to the store is 4 miles because 20-16 is equal to 4

how much work is done when a girl pushes a lunch cart 15m across the cafeteria with a force of 3N​

Answers

Answer:

45 J

Step-by-step explanation:

Just plugged into the work force formula got 45 jules

PLEASE HELP MEEEE I HAVE AN F IN MATH AND I SERIOUSLY NEED THIS

Answers

Ok do u have a app I can send it Bc I did this

Please look at picture

Answers

6x - 7 = 4x + 7
2x = 14
x = 7

The answer is 7

Danny has an unknown number of used cars at his
business. He buys 327 more and figures out he now has a
total of 745. Write an equation to solve this scenario
using "c" for the unknown number of used cars. Then
solve the equation for c.

Answers

Answer:e

Step-by-step explanation:

Answer:

745 - 327= C      C = 418

Step-by-step explanation:

Find the measure of<1

Answers

the answer is 4
30x+20=20x+60
when you simplify you get 20x=30x-40
simplify again and you get -10x=-40
divide each side by -10 and you get
x=4

manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?

Answers

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

2(1/4d)+d=96 answer is possibly 64 is that correct?

Answers

Answer:

64

Step-by-step explanation:

2x(1/4 d)+d=96 (Rewrite the expression)

2x1/4d+d=96 (Reduce the numbers)

1/2d+d=96(Calculate)

3/2d=96 (Multiply both sides)

d=64

Archeologists discover four outer walls of an ancient building, as shown.
If the missing walls are the same lengths as the discovered walls, how many
sides did the original building have? Explain.

Answers

15 sides

It’s the right answer

The number of sides that the original building has will be 15 sides.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The measure of the exterior angle is given as,

Exterior angle = 180° - Interior angle

Exterior angle = 180° - 156°

Exterior angle = 24°

The total number of sides of the polygon will be given as,

Exterior angle = 360° / (Number of sides)

24° = 360° / n

n = 360° / 24°

n = 15

The number of sides that the original building has will be 15 sides.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ5

The complete question is given below.

helppppppppppppppppppppp​

Answers

Answer:

$7.20

Step-by-step explanation:

60% of 4.5 = 2.7

4.5+2.7 = $7.2

Answer:

7.2

Step-by-step explanation:

So u do 60% of 4.5 and add ur answer to 4.5

7x+3y=-21 in slope intercept form​

Answers

Answer:

[tex]y= -\frac{7}{3}x -7[/tex]

Step-by-step explanation:

Answer:

y

=

7

3

x

7

Step-by-step explanation:

Brainliest?

What is the solution to this inequality?

6x−5>−29


​ x −4 ​

​ x>4

Answers

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

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

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

What percentage is 0.00042 ?

Answers

Answer:

0.042%

How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%

Step-by-step explanation:

hope it helps please give me a heart

Answer:

0.042%

Step-by-step explanation:

0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!

what is 18/7 reduced to the lowest term

Answers

Answer:

18/7

Step-by-step explanation:

You cannot simplify this any further.

Answer:

its 2 4/7

Step-by-step explanation:

If you mean simplifying it

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