Commute times in the U.S. are heavily skewed to the right. We select a random sample of 200 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time is 27.5 minutes with a standard deviation of 18.9 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance. What is the p -value for this hypothesis test?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

The population mean [tex]\mu[/tex] = 30

The sample size n = 200

The sample-mean [tex]\overline x[/tex] = 27.5

The sample standard deviation s = 18.9

The level of significance ∝ = 0.05

The null hypothesis and the alternative hypothesis can be written as:

[tex]H_o:\mu \ge 30 \\ \\ H_1: \mu < 30[/tex]

Since the alternative hypothesis indicates < sign, then this test is left-tailed

The  t-test statistics is:

[tex]t =\dfrac{\overline x - \mu }{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]t =\dfrac{27.5 -30 }{\dfrac{18.9}{\sqrt{200}}}[/tex]

[tex]t =\dfrac{-2.5}{\dfrac{18.9}{14.142}}[/tex]

t = -1.871

The p-value = P(t< -1.871)

From the standard normal t tables

The p-value = 0.0314

Thus, since the p-value is less than the level of significance ∝ = 0.05, then we reject the null hypothesis.


Related Questions

There are ten bird baths in a park. On the first day of​ spring, the bird baths are filled. Several weeks​ later, the overall change in the water level is found. The results are shown in the table. What is the range of the​ data?

Answers

If 2.4 is an option then I think that’s the answer

(-15) divide 3 doing old work anybody wanna help

Answers

Answer:

-5

Step-by-step explanation:

-15 dived by 3 is -5 :)

It cost $15 dollars to send 3 packages though a certain shipping company. Consider the number of packages per dollar. find the constant of proportionality

At the same rate how much will it be for 6 packages to be shipped ​

Answers

The constant of proportionality is y=5x. It will cost $30 for 6 packages to be shipped.

PLEASE HELP ASAP
I think I know but I want to double check

Answers

Answer:B 1/18

Step-by-step explanation:

Find the measure of angle A

Answers

Answer:

Angle A= 30

Step-by-step explanation:

A triangle has to equal 180 degrees so the first thing you have to do is subtract 180-70. You get 110 so the other two angles in the triangle have to equal 110.

Now you can solve the expression x+40+x+90=110

First combine like terms  2x+130=110

Then subtract 130 from both sides  2x=-20

Then divide by 2 x=-10

Then solve for a -10+40=30

So angle A = 30

There are 5 girls and 1 boy taking swimming lessons. The ratio that compares the number of girls taking
swimming lessons to the total number of students taking swimming lessons can be written three different
ways. Enter the three different ways.

Answers

Answer:

5:6

five of the 6 students are girls

5/6

Step-by-step explanation:

Not sure if these are the three different ways you wanted, but all of these represent the number of girls compared to the total number of students.

There was one half of a pizza left. It was divided equally amongst 3 kids. What fraction of the pizza did each kid get?

Answers

Answer:

one-sixth

multiply the numerator (2) by the number of kids (3) because you are accounting for the fraction of the whole pizza. By doing this you should get 3/6. divide the denominator by the number of kids (3/3) getting you to a value of 1, and replace the denominator, making the amount of pizza one-sixth.

what is the slope of the graph

Answers

Answer:

I think it's B.

Step-by-step explanation:

Answer:

D. -(5/4)

Step-by-step explanation:

Which expression is equivalent to the one below?
(26 x 96) = 1814

Answers

Answer:

the answer is A.

Step-by-step explanation:

([tex]2^{6}[/tex]×[tex]9^{6}[/tex])÷[tex]18^{14}[/tex]

2×9= 18

6+6= 12

[tex]18^{12}[/tex]÷[tex]18^{14}[/tex]

[tex]18^{12-14}[/tex]= [tex]18^{-2}[/tex]

[tex]1/18^{-2}[/tex]

Find the value of aaa that makes the equation true.

Answers

Answer:

Umm I wann say 18 because 18+18=36

Step-by-step explanation:

please tell me if this is right please

Answers

Yea I think so I’m pretty sure

Answer: I think this is right

Combine the like terms to create an equivalent expression.
4p+6−3

Answers

Answer:

4p+3

Step-by-step explanation:

There are two different types of “categories/groups” in this expression: the p variable that’s being multiplied by 4, and the integers, 6 and -3. So you can combine the 6 and -3 (also 6 minus 3) which just gives you 3. All you have left is 4p+3. You can’t combine the 4p and 3 because they are different “categories/groups”.

Hope this helps and answers you question :)

Answer:

♡ madeline here ♡

hi luv! its 4p+3

here are the steps.

number 1: 6-3=3

number 2: just take

the 4p and add it. easy.

stay safe and stay great. ☆

have a great day!

- madeline/madi

✧・゚: *✧・゚:・゚✧*:・゚✧・゚

Step-by-step explanation:

Find the minimum value of the function f (x) = 2x² + 11.4x + 18.5 to the
nearest hundredth.

Answers

Answer:

2[tex]x^{2}[/tex] + 11.4x + 18.5 ---> No Like Terms

Step-by-step explanation:

           

The following table represents a linear function. What is the slope?

A. slope = -3
B. slope= 1/3
C. slope = 3
D. slope = -1/3

Answers

Answer:

C. 3

Step-by-step explanation:

To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so

8-5/2-1

3/1.

The slope is 3

Answer: C the slope is 3!

Step-by-step explanation:

Zeb and his wife have a taxable income of $167,487. What is their tax liability?

A. $46,896.36
B. $73,583.86
C. $8,452.36
D. $35,139.86

Answers

Answer:

D

Step-by-step explanation:

Does someone that knows how to do this??

Answers

Answer:

-1/2

Step-by-step explanation:

rise over run

rise is -2

run is 4

(-2/4)/2=(-1/2)

hope this helps :3

if it did pls mark brainliest

Leah is measuring the weight of adult rhinos at the zoo. Which unit of measurement should she use to eliminate the need to write the values in scientific notation?
grams
feet
gallons
tons

Answers

Answer:

tons

Step-by-step explanation:

Help me with my math!!!!!!!!!!

Answers

Answer:

I got u

Step-by-step explanation:


How many cubes of length 2 would it take to fill a rectangular solid with a
volume of 120?

Answers

Answer:

I think it is 1 ruler to measure it

m(x)=4x+15;m(x)=7

Answer?

Answers

Answer:

M=0

Step-by-step explanation:

(M)=4M+15(M)=7

We move all terms to the left:

(M)-(4M+15(M))=0

We add all the numbers together, and all the variables

M-(+19M)=0

We get rid of parentheses

M-19M=0

We add all the numbers together, and all the variables

-18M=0

M=0/-18

M=0

what is 2.6x1.4= and 4.5 x 0.08= please use properties to find each product thanks <3

Answers

2.6x1.4=3.64

4.5x0.08=0.36

bananas cost $0.18 each. How many can Mo buy for $2? (Tip!) Round to the nearest whole banana.)​

Answers

Answer:

Step-by-step explanation:

.18x=2

x= 11.1

she can get 11 whole bananas

Evaluate:

48 ÷ 8 + 5 × (7 – 2)

Answers

Answer:

hope this helps you out :)

The value of the expression is 31.

What is expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that, an expression 48 ÷ 8 + 5 × (7 – 2)

48 ÷ 8 + 5 × (7 – 2)

= 6 + 5 × 5

= 6 + 25

= 31

Hence, the value of the expression is 31.

Learn more about expression, click;

https://brainly.com/question/14083225

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A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 2304 cubic feet. Find the dimensions of the pool.

The smaller dimension of the pool is____ft and the larger dimension is____ft

Answers

Answer:

length= 42, width=12, depth=8

Step-by-step explenation:

The smaller dimension of the pool is 8 ft and the larger dimension is 36 ft

The length of the rectangle = 8 feet

The width of the rectangle = 36 feet

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The volume of the rectangle is V = 2304 feet³

Let the length of the rectangle be = A

One side of the pool is 4.5 times longer than the other

So , the width of the rectangle be = 4.5A

Now , on simplifying the equation , we get

Volume of Rectangle = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangle = 8 x A x 4.5A

36A² = 2304

Divide by 36 on both sides of the equation , we get

A² = 64

Taking square roots on both sides of the equation , we get

A = 8 feet

Therefore , the width of the rectangle = 4.5 A = 36 feet

Hence , the dimensions of the rectangle is 8 x 36 x 8

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ok guys my grades have died and ive been getting better and i wanted to know if i should finish the rest of my mod tonight or tomorow . i know its stupid but give honest answers

Answers

You should finish it tonight

Answer:

tonight.

Step-by-step explanation:

Can a translation and a reflection map TriangleQRS to TriangleTUV? Explain why or why not. No, the triangles are not congruent. Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV. No, the triangles are obtuse. Yes, a translation mapping vertex S to vertex T and a reflection across the line containing RS will map △QRS to △TUV.

Answers

Answer:

b

Step-by-step explanation:

Answer:

the is b yes

Step-by-step explanation:

triple the difference of u and 9

Answers

Answer:

I'm not sure what your saying

Step-by-step explanation:

The perimeter of a rectangular garden is 4534 m. The length is 1125 m more than thrice the width. Find the length and the width of the rectangular garden. (Estimate to the nearest tenths place and verify the reasonableness).
Length is 19.2 m and width is 3.9 m
Length is 21.1 m and width is 2.1 m
Length is 18.3 m and width is 4.9 m
Length is 20.1 m and width is 2.9 m

Answers

he answer is D welcome

For friends split equally a lunch bill of $36.96 +20% tip how much did each person pay?

Answers

Answer:

Step-by-step explanation:

Well first we need to add the tip in order to find the total amount of cash needed to be paid.

0.3696 x 20 = 7.392

So lets just say $7.39

Add that to the sub total which is 36.96

36.96 + 7.39 = $44.35

Now, in order to figure out how much each friend should pay, we divide the total by 4.

44.35/4 = 11.0875

So lets just say $11.09

So each friend should pay about $11.09

PLEASE ANSWER ASAP!!

Answers

Answer:

D = 42

A = 42

Step-by-step explanation:

If ABC = DEF

A = D

x + 21 = 2x

21 = 2x - x

21 = x

A = x + 21

(21) + 21 = 42

D = 2x

2(21) = 42

I'm 90% sure. I'm not fully sure though.

A is 44 D is also 44
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