An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample of 36 such vehicles had a mean of 18 miles per gallon and a standard deviation of 5 miles per gallon. At α = .01 can you reject the auto maker's claim?

Answers

Answer 1

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null


Related Questions

Which of the following properties is represented by the calculations in the photo?

A) multiplication property of equality
B) zero sum property
C) addition property of equality
D) zero product property

Answers

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

(450) + (28.75x) = 967.50
solve for x

Answers

Answer:

x=18

Step-by-step explanation:

Answer:

x= 18

Step-by-step explanation:

To solve this equation you have to work backwards

Start by dealing with the numbers that we know:

450 + (28.75 × x) = 967.5

-450                          -450

28.75x = 967.5

(when a number and a letter in mathematics are next to each other they are multiplying)

Now divide to find the value of x:

967.5 ÷ 28.75 = 18

18 is the value of x

URGENT!!!!HELP!!!!PLS!!!NOW!!!!!!HURRY!!!

Answers

Answer:

I'm guessing it's 4 i think but sorry if it's wrong

Step-by-step explanation:

which properties are being used to solve the question

Answers

Answer:

Both commutative and associative

Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
 

Answers

Answer:

1,500

Step-by-step explanation:

I need help I’ll appreciate if you help thank you

Answers

Answer:

b

Step-by-step explanation:

u start at (0,9.5) and with every increasing x value the y value is decreasing by .5 units



16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.

Answers

Answer:

9.5 seconds.

Step-by-step explanation:

We know that the equation that represents the height of the penny as a function of time is:

h(t) = -16*t^2 + 1451

Where the height is in ft, and the time is in seconds.

a) We want to know how long takes the penny to hit the ground.

Well, the penny will hit the ground when its height is equal to zero.

Then we need to solve for t:

h(t) = 0 = -16*t^2 + 1451

0 = -16*t^2 + 1451

16*t^2 = 1451

t^2 = 1451/16 = 90.7

t = √90.7 = 9.5

This means that it takes 9.5 seconds to hit the ground.

Answer:9.5 seconds

Step-by-step explanation:you subtract

List three examples of aa variable costs​

Answers

Answer:

utility cost, direct labor costs, cost of raw materials used in production

maths equation : solve (2 - x)² < 4/25​

Answers

Answer:

8/5 < x < 12/5

Step-by-step explanation:

(2 - x)² < 4/25​

2 - x < ±2/5

2 - x < 2/5

-x < -8/5

x > 8/5

2 - x > -2/5

-x > -12/5

x < 12/5

Therefore, your answer is 8/5 < x < 12/5

Need help due in 30 mins Find the area of each. Round to the nearest tenth. Do not include units in your answer (ie. ft, in, km, etc)(triangle-FR)
Your answer

Answers

Answer:

1)

Triangle formula:

A = 1/2bh

A = 1/2(3)(5.9)

A = 8.85

2)

Parallelogram Area:

A = bh

A = (8.9)(6)

A = 53.4

3. A runner sprints 50 ft each day for 7 days. How many inches does she sprint during this week? (Again please hurry)

Answers

Answer: The runner will sprint 4,200 inches during this week

Step-by-step explanation:

50 * 7 = 350

350 * 12 = 4200

Answer:

It's 4200in

in feets its 350ft

Step-by-step explanation:

(4c+3)+(5b+8) simplify this answer

Answers

Answer:

4c + 5b + 11

Step-by-step explanation:

4c + 3 + 5b + 8

4c + 5b + 11

Explain the characteristics of authoritarianism and identify two central Asian countries that have this type of government.

Answers

Answer:

Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.

Answer:

. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner

find the corresponding point to the function​

Answers

Answer:

If you begin with the graph for f(x) and then substituted x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

Step-by-step explanation:

I need help with this problem

Answers

Answer:

3

Step-by-step explanation:

4x-6=x+3

3x=9

x=3

substitute the two equations in for each other because they both equal x.

Tue diameter of a bike is 27 inches if the wheel makes 15 complete rotations how far does the bike travel?

Answers

Answer:

1271.7 inches

Step-by-step explanation:

Given

[tex]d = 27in[/tex]

[tex]Rotations = 15[/tex]

Required

The total distance moved

First, we calculate the circumference of the wheel

[tex]c = \pi *d[/tex]

[tex]c = 3.14 * 27[/tex]

[tex]c = 84.78[/tex]

This represents the distance traveled in one complete rotation.

So, in 15 rotations.

[tex]Total = 15 * 84.78[/tex]

[tex]Total = 1271.7[/tex]

What's the equation to use to solve x?

Answers

Total Speed = total distance/total time
= 290/2
= 145km/hr
145-15=x
= 130km/hr

Who else is a member of the church of Latter Day Saints

Answers

Answer:

Step-by-step explanation:

Answer:

MEEEEEEEEEEEEEE!!!

He points (2, -3) and (2,5) represent the locaons of two towns on a coordinate grid, where 1 unit is equal to 1 mile. What is the distance, in miles, between the two towns?

Answers

Answer:

Distance between the points is 8 miles.

Step-by-step explanation:

Distance between tow points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between the given points (2, -3) and (2, 5) will be,

Distance = [tex]\sqrt{(2-2)^2+(-3-5)^2}[/tex]

               = 8 units

Since, 1 unit = 1 mile

Therefore, distance between these points will be 8 miles.

Show me the work to 4x-4<8 and 9x+5>23. The answer is already shown. (Geometry )

Answers

Answer:

transpose -4 to left

and 5 to left

subtract and and after transpose you will have a sign change

then you can divide

12/4,18/9

so,

x<2,x>3

Find the value of X for which the following fraction is undefined
2x²+x-15
________
2/3x²-6

Answers

Answer: ±√2

Step-by-step explanation: A fraction is undefined when its denominator is =0 or undefined. so we need to get 2/3x²-6=0 or undefined. so we can also do 3x^2-6=0. Solving yields ±√2!

i'll give brainiest to who answers this pls help

Answers

Answer:

The answer is 126 square inches.

Step-by-step expalation


Susan paints a stack of 30 blocks in a pattern. Starting from the bottom, she paints every 3rd block red and every 5th block green. Wherever red and green land on the same block, she paints that block yellow.



The 3rd block from the bottom that is painted green is how many blocks up from the bottom?

Answers

The answer will be this time

Answer:

20 blocks

Step-by-step explanation:

Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythagorean triples. If Andrea picks a value of x = 2, and the hypotenuse of the resulting right triangle is 5, what natural number value of y did Jack pick?

y = 1
y = 4
y = 2
y = 3

Answers

Answer:

I think the answer could be y=3 or y=2

it could be something else tho im sorry

Answer:

y=2

Step-by-step explanation:

3. Savannah estimates that her dog weights 30
pounds. When she takes her dog to the vet for
his check-up, the dog is placed on the scale and
actually weights 32.5 pounds. What was
Savannah's percent of error of her estimate?
Round to the nearest percent.

Answers

Answer:

8%

Step-by-step explanation:

The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie’s error and the correct answer in this case. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8. Debbie should have included 8 as a possible choice. The correct inequality is p < 9. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p ≠ 8.

Answers

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

Passengers = Up to 8

Required

Determine why [tex]p < 8[/tex] is incorrect and make corrections

The inequality [tex]p < 8[/tex] means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

[tex]p <9[/tex] or[tex]p \le 8[/tex]

Base on the given options, option (c) best answered the question.

a bag contains 15 red marbles, 15 white beads, 20 green beads, and 25 blue beads. What is the probability of randomly drawing a blue bead?

Answers

Answer:

1/3 or 33%

Step-by-step explanation:

15 + 15 + 20 +25 is equal to 75

25/75 is 1/3

Answer:

1 by 3

Step-by-step explanation:

15 + 15 + 20 + 25 = 75

so,

again,

25 divided by 75 is equal to 1 by 3

person who answers this WITH complete explanation, formula, AND correct answer will be marked BRAINLIEST...... pls answer:

2/5 x -3/7 - 1/6 x 3/2 - 1/4 x 2/5

Answers

The answer I got is -3/140 since you must multiply first, then subtract the fractions

Which amount is largest?

1 kg
1 dg
100 g
1,000 mg

Answers

1 kg is the biggest.

Answer:

1 kg here you go this is the answer

6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths

live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to

San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the

Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the

Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is

North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from

their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to

Disneyland.

Answers

Answer:

The distance from Disney to the Golden Gate Bridge is 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  is 1,320 miles

The interior angle at The Golden Gate Bridge is 35°

The interior angle at Mall of America is 110°

The interior angle at Disney is 35°

The direction from Mall of America to Disney is South 30° East

Step-by-step explanation:

The bearing from Disney to the Golden Gate Bridge = North 65° West

The bearing from the Golden Gate Bridge to the Mall of America = North 80° East

The bearing from Disney to the Mall of America = North 30° West

The distance from Disney to the Mall of America = 1,320 miles

Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively

From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C

Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°

The interior angle at B = The bearing of C from B - The bearing of A from B

∴ The interior angle at B = 65° - 30° = 35°

B = 35°

∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle

The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°

CA = AB = 1.320

By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56  miles

a = CB = 2,162.56 miles

Therefore, we have;

The distance from Disney to the Golden Gate Bridge = 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  = 1,320 miles

The interior angle at The Golden Gate Bridge = 35°

The interior angle at Mall of America = 110°

The interior angle at Disney = 35°

The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°

∴ The direction from Mall of America to Disney = South 30° East

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