According to the AAA Foundation for Traffic Safety's American Driving Survey, U.S. drivers spend.

on average, 51 minutes behind the wheel each day. A researcher believes this is an overstatement.

To investigate, a random sample of 75 drivers were selected. The study revealed that the mean

time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of

18.8 minutes. Is there convincing evidence that the mean time behind the wheel for all U.S. drivers

is less than 51 minutes? Use a = 0.01.

Answers

Answer 1

Answer:

The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.

Step-by-step explanation:

U.S. drivers spend on average, 51 minutes behind the wheel each day.

This means that at the null hypothesis we test that:

[tex]H_{0}: \mu = 51[/tex]

Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 51[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

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

51 is tested at the null hypothesis:

This means that [tex]\mu = 51[/tex]

The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.

This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]

[tex]z = -2.12[/tex]

Pvalue of the test:

The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.

Looking at the z-table, z = -2.12 has a pvalue of 0.017.

Decision:

The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.

Answer 2

No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.

Given the following data:

Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.

What is a null hypothesis?

A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.

For the null hypothesis, we would test that:

[tex]H_o : \mu =51[/tex]

For the alternate hypothesis, we would test that:

[tex]H_a : \mu < 51[/tex]

The test statistics would be calculated with this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.

Substituting the given parameters into the formula, we have;

[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]

Z = -2.12.

What is a p-value?

In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.

From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.

In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.

Read more on null hypothesis here: https://brainly.com/question/14913351


Related Questions

Solve and check. All steps must be shown.
5x + 15 = 75 - 25x

Answers

Answer:

X = 3

Step-by-step explanation:

Answer:

= 2

Step-by-step explanation:5x+15=75-25x

We move all terms to the left:

5x+15-(75-25x)=0

We add all the numbers together, and all the variables

5x-(-25x+75)+15=0

We get rid of parentheses

5x+25x-75+15=0

We add all the numbers together, and all the variables

30x-60=0

We move all terms containing x to the left, all other terms to the right

30x=60

x=60/30

x=2

PLEASE HELP BOTS HAVE BEEN COMMENTING ON MY POSTS ALL DAY I NEED AN REAL ANSWER PLEASE IM DEPERATE

Answers

Yep the same thing happens to me

Which combination of shapes can be used to create the 3-D figure?



-Two regular pentagons and have congruent rectangles

-Two regular decagons and 10 congruent squares

-Two regular pentagons and five congruent squares

-Two regular decagons and 10 congruent rectangles

Answers

The combination of shapes that can be used to create the 3-D figure is; Two regular decagons and 10 congruent rectangles.

What combination of shapes can be used to create the 3-D figure?

From observation of the task content, if follows that the top section of the 3-D figure is a decagon (a regular polygon of 10 sides).

Hence, two decagons are needed and 10 congruent rectangles used which represents the height of the figure are needed.

Read more on polygon;

https://brainly.com/question/1592456

#SPJ2

Answer: D

Step-by-step explanation:

well cause they look like rectangles and then they have two of those things on the top and bottom ill comment on my question if I get it right, not to mention if u count the sides of the figure you'll see that they're is 10 of them lol

D:   Two regular decagons and 10 congruent rectangles 

couldn't comment on it but I got it right lol have a good day!

Last year Jacob’s total sales were $512,045. This year he increased his sales to $595,679. What is the increase in sales

Answers

Answer:

$83,634

Step-by-step explanation:

The computation of the increase in sales is shown below:

Given that

The total sales is $512,045

And, the increase his sales to $595,679

So based on the above information

The increase in sales is

= $595,679 - $512,045

= $83,634

Hence, the increase in sales is $83,634 that means the sales would be increased by $83,634

The same should be considered and relevant

The Smith family went out to dinner.

The meal cost $65.56.
The sales tax is 2.5% of the meal.
The tip was 18% of the meal and the tax.
There are 6 people in the Smith family.
What was the cost per person for the meal, including sales tax and tip?

Answers

Answer:

13.22

Step-by-step explanation:

Help me guys pleased and thank you

Answers

Answer:

#5

Area of side faces:

A = 2(18 + 14)*14 = 896 cm²

Area of bottom face:

A = 18*14 = 252 cm²

Area of 2 triangular faces:

A = 16*14 = 224 cm²

The height of the remaining triangular faces:

h² = 16² - (18/2)² + (14/2)² = 224h ≈ 15 cm

The area of 2 triangular faces:

A = 15*18 = 270 cm²

Paper needed:

896 + 252 + 224 + 270 = 1642 cm²#6

Let the perimeter of the base is P.

If the height is increased by 1.5 cm then surface area is increased by:

1.5P

HELP PLEASE THIS IS A TEST FOR NEXT YEARS CLASS
A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms.

Which expression represents the number of charm sets Mrs. Thompson bought?

A. 20 / (3 + c)

B. 20 x 3 + c

C. 20 / 3 + c

D. 20 x (3 + c)

Answers

Answer:

20 / (3 + c)

Step-by-step explanation:

Help help help help help help

Answers

Answer:

More than for the first box and less than for the second.

Normally I would do a 100 point give away but I'm feeling sad today D: Please help cheer me up. I might think about doing a 100 point giveaway

P.S. Brainly Moderators, don't delete this, I need help, what's 1+1???

Answers

1 + 1 = 2

At first, I thought that the 1 and the other 1 meant a ten and a one, so I decided it would be 11. But soon, a classmate of mine told me it was 25. I divided it with 1 and it is divisible! And since division is also changing the numbers, I figured it would be correct that it is 25. But as I worked it out, I realized that the answer was 2. Because if you put 1 stick and add another 1, you will get 2

Hope it helped!

Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.

Answers

Answer: x=233

Step-by-step explanation:

The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:

|AC|² = |AB|² + |BC|²

13²=8²+ |BC|²

|BC|=10.25

The missing side of this right triangle will be 10.25.

Learn more about Pythagoras theorem refer:

https://brainly.com/question/12105522

#SPJ2

quick its timed will give brainlyist
Which of the following units of measure would you use to find the amount of watermelon juice in a carton?
A. cups
B. yards
C. ounces
D. meters

Answers

Answer:

:::::::::::::::::::

c

Answer:

C ounces

Step-by-step explanation:

please mark me as brainiest please I didn't get any brainiest

BRAINLIEST FOR CORRECT ANSWER ASAP

Answers

Answer:

● equivalent

Step-by-step explanation:

equivalent

Answer:

the base is the answer 4

[tex] {42}^{2} [/tex]

Step-by-step explanation:

42 is the base

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:  

the required probability is 0.0071  

Step-by-step explanation:

Given the data in the question;

we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.

so total number of combinations for the narrowed down metrics is computed as follows;

using multiplication rule:

⇒ 4 × 5 × 7 = 140 ways

Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;

⇒ 1 / 140

{ assuming that the narrowed down choices have within it the correction combination }

= 0.007142 ≈ 0.0071  { four decimal place }

∴  the required probability is 0.0071  

Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did
she leaves her house if she arrives back at 8:30 am after her morning run?

Answers

avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km

15km/7.5= 2 hours of running time everyday

She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30

Joanna arrives back at 10:30a.m.

Answer:

She might of left her home around 8:00 possibly.

Step-by-step explanation:

Hopefully this helps you.

Please give me brainliest if it is correct.

Thank you xx

Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.

→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.

Which number sentence best represents this situation?

A. 12 + 7 + 2 = y

B. 12x · 2 + 7 = y

C. 12x + 7 = y

D. 12x - 7 = y

Answers

Answer:

i think the answer is C. 12x+7=y :)

Step-by-step explanation:

Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?​

Answers

Answer:

square side = 57

hexagon side = 38

Step-by-step explanation:

x = side length of square

y = side length of hexagon

x = y + 19

4x = 6y

substitute for x:

4(y + 19) = 6y

4y + 76 = 6y

subtract 4y from each side of the equation:

2y = 76

divide both sides by 2:

y = 38

x = 57

Answer:

Hi there,

Make the side of the hexagon = x

Side of square = x + 12

Both figures have the same perimeters.

4(x + 14) = 6x

4x + 56 = 6x

Collect like terms:

6x - 4x = 56

2x = 56

x = 28

Length of hexagon side = 28 feet

Length of square side = 42 feet

Hope this helps :-)

HELP PLEASE !!!!!!!!!!

Answers

Answer:

cccccccc

Step-by-step explanation:

The anwser is c cause if you do adgibra carry the 3 divide by 1 c is your anwser you welcome

A baker uses 5 cups of flour to make 75 cookies. Using this same ratio, how many cups of flour will be needed for 45 cookies? Use the ratio table given to solve the problem.

Answers

Answer:

Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=

=75/5

=15.

Therefore no. 1cups for 15cookies.so,for 30 cookies=

=15*2

=30.

So, 2cups are needed for 30cookies

The 4th grade is planting a garden for a fundraiser at school. The garden has an area of 56 square feet. The length of one side is 7 feet. What is the width of the garden?

A. 56 feet

B. 7 feet

C. 8 feet

D. 49 feet

Answers

The answer would be C sorry if wrong
Yeah the answer is C

Find the surface area of the square pyramid

Answers

I actually just did this one and the answer is 220 for the triangles and the 121 for the square base so the surface area will be 341

3people equally share 4 oranges. How many oranges
does each person get?​

Answers

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

4/3=[tex]1\frac{1}{3}[/tex]

Answer:

4 divided by 3 = about 1.33

Step-by-step explanation:

fraction form is 1 1/3

What do you call a large, round body that revolves around the sun?  
A. Asteroid
B. Comet
C. Moon 
D. Planet​

Answers

Answer:

Planet

Step-by-step explanation:

Because the earth is an planet and it revolves around the sun,

Revolve: revolve means for a smaller object to go around a larger object

in this case its the planet and the sun

hope this helped good luck!!!

Answer:

It is D. i took the test

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

ang(HIK) AND ang(GFD)

HIK GFD is the answer they are parallel

What is the measure of angle ABC ?

Answers

Answer:

C

Step-by-step explanation:

Calculate sales tax using the following information: Taxable amount of the sale: $ 189 Sales tax percentage: 6 % What is the amount of the sales tax? Round the answer to the nearest cent (hundredths).

Answers

Answer:

$11.34

Step-by-step explanation:

6% of $189 =

= 0.06 * $189

= $11.34

Find the equation of the line which passes through (0, 7) at a gradient of 3.

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7

So, y-intercept (b) = 7

Gradient (or slope m) = 3

Equation of line in slope intercept form is given as:

y = mx + b

Plugging m = 3 and b = 7 in the above equation, we find:

y = 3x + 7

This is the required equation of line.

Kayli made 4 cups of soup for dinner. She ate 14 cups and her sister ate 11 cups. How much soup was left?​

Answers

Answer:

-21 cups.

Step-by-step explanation:

4-14-11=-21

Can someone answer this? I’ll give points + brainalist

Answers

b because when u subtract the largest and smallest number its 20 and thats the most if u do it for all of them

Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.

Answers

Answer:

$475 + 4% (19 percent) = $494 a year.

Step-by-step explanation:

album sells for 7 percent sales tax and 10 percent off what is the total price including tax

Answers

Answer:

Are you trying to find the price before the discount and tax?

Step-by-step explanation:

Also, what album are you buying? Lol

P.S. I'll change my answer when I understand.

Answer:

You didn’t give us the price of the album, but multiply it by 0.1 then subtract that form the original price then multiply that number you got by 0.07 and that on to the number you got from the number after the 10% discount

Step-by-step explanation:

Other Questions
where did gandhi write On The Eve Of Historic Dandi March? and what does the time and place have to do with the meaning? what is 5 cm in mm. i need a simple answer. NO LINKS PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER. HELP ASAP WILL GIVE BRANLIST!!! How many moles of water are produced when 6.0 moles of hydrogen gas react with 2.5 moles of oxygen gas? Balanced equation: 2H2 + O2 2H2O (5 points)2.5 moles of water3.0 moles of water5.0 moles of water6.0 moles of water What happens when the phosphate bonds of ATP break?A) Acid is neutralized.B) Energy is stored.C) Energy is released.D) An organism becomes sick. Select THREE Chinese inventions during the Middle Ages.Magnetic compassMovable typeOx plowHot-air balloonGunpowderHorse saddle which expression is equivalent to ((1)/(\sqrt(y)))^((-1)/(5)) You drive a car for 2.0 h at 60 km/h, then for another 3.0 h at 85 km/h. What is your average velocity what are some of the dynamics or language of socratic seminars? How many bracelets did christa sell in July? HELP ASAP PLEASEEE The starting temperature of a beaker of water is 60 F. The thermometer shows the temperature of the same beaker of water after being heated on a hot plate. How much higher is the temperature after the water is heated? Record your answer below. Benson Corporation manufactures car stereos. It is a division of Berna Motors, which manufactures vehicles. Benson sells car stereos to Berna, as well as to other vehicle manufacturers and retail stores. The following information is available for Benson's standard unit: variable cost per unit $37, fixed cost per unit $23, and selling price to outside customer $86. Berna currently purchases a standard unit from an outside supplier for $80. Because of quality concerns and to ensure a reliable supply, the top management of Berna has ordered Benson to provide 200,000 units per year at a transfer price of $35 per unit. Benson is already operating at full capacity. Benson can avoid $3 per unit of variable selling costs by selling the unit internally.1. What is the minimum transfer price that Benson should accept? ,2. What is the potential loss to the corporation as a whole resulting from this forced transfer? Why does conflict occur ? why did the American voters vote against Hoover in the 1933 election what does t = ??please help i need help pls and ty Olsen Outfitters Inc. believes that its optimal capital structure consists of 65% common equity and 35% debt, and its tax rate is 40%. Olsen must raise additional capital to fund its upcoming expansion. The firm will have $2 million of retained earnings with a cost of rs = 12%. New common stock in an amount up to $7 million would have a cost of re = 16%. Furthermore, Olsen can raise up to $2 million of debt at an interest rate of rd = 10%, and an additional $5 million of debt at rd = 12%. The CFO estimates that a proposed expansion would require an investment of $5.7 million. Required:What is the WACC for the last dollar raised to complete the expansion? Round your answer to two decimal places. HELP PLEASEEE!can somebody give me the answer than try to explain how you got it You inherit $5,000 from your Uncle Harold. The bad news is that the money must sit in a bank account for the next 10 years until you can use it. The account earns 7.2% interest, compounded annually. This means that you will need to multiply the amount of money by 1.072 to determine how much money remains at the end of the next year.HELPPP PLEASEE PLSSSS HELP ASAP PLSSSSS :D