In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.

Answers

Answer 1

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.


Related Questions

given the measures of an angle below give the measure of complement and supplement​

Answers

Answer: Where's the picture of the angle?

Step-by-step explanation:??

Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble​

Answers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%

What is the approximate average rate of change of the function f(x) = -20(1.3)x^
over the interval 1.2 _< x _< 2.7?

Answers

Answer:

c

Step-by-step explanation:

PLZ help will mark the brainliest!!!!

Answers

Answer:

The answer is 0

Step-by-step explanation:

2x+15=x+15

    -15  -x

x=0

Pick me chose me love me NOW HELP ME WITH MATH

Answers

Answer:

Same

Step-by-step explanation:

Answer:

W=90

Step-by-step explanation:

THERES a box

Hey i need help with this

Answers

Answer:

The x-intercepts are 1 and 3

The y-intercept is 3

The vertex is (2,-1)

The line of symmetry is x=2

Step-by-step explanation:

To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)

What is the percentage?

Answers

What is the percentage? The percentage is 89

b1=5,b2=7,h=4
need help plz

Answers

Answer:

[tex]A=24[/tex]

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].

Now we plug in what we already know.

[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]

Now we start with the parenthesis

[tex]A=\frac{1}{2}(12)(4)[/tex]

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

[tex]A=24[/tex]

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?​

Answers

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

Please hurry!! 30 points!! Whats the answer??

Answers

Answer:

2

Step-by-step explanation:

Answer:

11.25 or 11 1/4

Step-by-step explanation:

seeing as how tiled in this sense essentially means 'cut' we have to look at the following rectangle as 2 separate rectangles instead of one whole

so we'll let the biggest rectangle be rectangle one and the smallest rectangle two-

now we need the dimensions of each one-

rectangle one

l=5 w=2

rectangle two

l=5 w=1/4

now let us set up the equation and solve-

a=lw

rectangle one

a=5*2=10

rectangle two

a=5*1/4=1.25

and the last step is to add together the areas of both rectangles

10+1.25=11.25

and since you need your answer as a mixed number the answer is 11 1/4

(to do this you just put 11.25 over 100 and then simplify)

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?

Answers

Step-by-step explanation:

X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1

WILL GIVE BRAINLIEST (URGENT)

Answers

Answer:

C

Step-by-step explanation:

Answer:

C 1/5 is the coorect answer

Step-by-step explanation:

which expression represents the area of the trapezoid below? Use the given formula: A= 1/2 (b1 + b2)​

Answers

Answer:

I think its 5x²-27x+10

Step-by-step explanation:

Area of trapezium:

a+b/2× h

So substitute into the formula:

4x - 1 + 6x - 3 /2 × (x - 5)

1. 4x - 1 + 6x - 3 (collect all like terms)

4x + 6x + -1 -3 = 10x - 4

2. 10x - 4 / 2

= 5x - 2

3. 5x - 2 × x - 5

Use FOIL:

5x ² - 25x - 2x + 10

= 5x ² - 27x +10

5% of a number is 27.
1 %of the same number is 5.4
work out 14% of the number.

Answers

Answer:

75.6

Step-by-step explanation:

100*5.4=540

540/14=75.6

Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer

Answers

The answer is x=9 I’ve just did this problem once you take 4x+5 you’ll get 8

45 people in a certain company can work together to finish a project in 15 days. For a project of the same workload, the
company decided to use 15 people. Assume all people have the same level of productivity.
In how many days can this project be completed?
SELECT ONLY ONE
5 days
10 days
22.5 days
45 days

Answers

Given:

45 people will accomplish the given task in 15 days.

To find:

Days taken by 15 people to complete the same task.

Solution:

Since, 45 people of a company can finish a work in 15 days

Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]

                                                                                        = [tex]675[/tex] days

15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]

                                                                                                    = [tex]45[/tex]

Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.

Learn more about the inverse relation,

https://brainly.com/question/9286901

Dos puntos en matematicas

Answers

Answer:

eso no es una pregunta

Step-by-step explanation:

Help please it’s urgent I’ll mark brainliest

Answers

Answer:

A

Step-by-step explanation:

isnt it just A right?

Answer:

i believe its 60. sorry if incorrect

Step-by-step explanation:

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answers

Answer:

3r1

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.

Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

200$ because that’s the percent

What is the surface area of this design?

Answers

Answer:

210

Step-by-step explanation:

Answer:

The answer is 197

Step-by-step explanation:

I saw this on another question so I hope you trust that this is the right answer

what is the the measure of a 105° angle in radians​

Answers

The third option (7pi/12) will be your answer. Hope this helps

Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operation in quadratic equations

Answers

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

4x²√(24x⁷)

Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

√24 = √(4×6) = √4√6

√x⁷ = √x⁶√x

Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

How many kilograms are equal to
54,308 grams?

Answers

Answer:

54.308 kilograms

Step-by-step explanation:

A rectangular prism has a length of 112feet, a width of 212feet, and aheight of 8 inches. What is the volume of the prism in cubic inches?
pls hurry :)

Answers

Answer:

27,353,088 cubic inches

Step-by-step explanation:

How to find the volume of a rectangular prism

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Solve

In this case, The volume of a rectangular prism with a length of 112feet,

width of 212 feet, and height of 8 inches:

But in this case, we need to convert both the length and width to inches.

If 1ft = 12in

Then, 112ft = 1344in  (Multiply 112 by 12)

Also, 212ft = 2544 (Multiply 212 by 12)

So, the volume = 1344 x 2544 x 8

Calculated out this gives a volume of 27,353,088 cubic inches.

whats

455
x 6
-----------

Answers

Answer:

2730

Step-by-step explanation:

Answer:

2730................:)))))))))))))

Bob Nale is the owner of Nale's Gas Station. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. He assumes a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. What is the z-statistic for a 99% confidence interval for the population mean.

Answers

Answer:

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

The z-statistic for a 99% confidence interval for the population mean is 2.575.

13 points Please help 8th grade math

Answers

Answer:

4.2

Step-by-step explanation:

Answer:

Volume of the sphere is 2065.24

I have no idea how to calculate the slope of that.

Step-by-step explanation:

3·π·7.93≈2065.23693

you pick a card at random 4,5,6,7 What is p(5)

Answers

Answer:

1/4

Step-by-step explanation:

probability of picking 5 is 1/4

the number of 5 in the set is 1 and the total is 4

hence 1/4

Answer:

1/4 or 25% chance

Step-by-step explanation:

There are 4 cards in total

There is only 1 5 card.

To find the probability of getting 5:

1/4 = 25%

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