The Statistical Abstract of the United States reported that the average cost per day of owning an automobile in the United states is $7.62. This includes the cost of the car, general maintenance, gasoline, and insurance. A researcher claims that college students' average daily ownership expenses are less than the national average. A random sample of 54 college students who own cars found the average cost per day to be $6.78 with standard deviation $1.77. Use a 5% level of significance to test the claim that a college student's average daily ownership expenses are less than the national average. State the Null and Alternate Hypotheses, calculate the test statistic, compute the P value for this test, state the alpha value, then state your conclusion. Is there enough evidence to support the claim?

Answers

Answer 1

Answer:

Step-by-step explanation:

The null and the alternative can be computed as:

[tex]H_o : \mu = 7.62[/tex]

[tex]H_1 : \mu < 7.62[/tex]

[tex]Claim: \mu < 7.62[/tex]

[tex]\alpha= 0.05[/tex]

The critical value for a left-tailed test at [tex]\alpha= 0.05[/tex] = -1.645

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{6.78 - 7.62}{\dfrac{1.77}{\sqrt{54}} }[/tex]

[tex]Z = -3.487[/tex]

The P-value = (Z< -3.487)

The P-value = 0.00024

Decision Rule: TO reject [tex]\mathbf{H_o}[/tex] at [tex]\alpha= 0.05[/tex], if test statistics is less than the critical value (left tailed)

Conclusion: We reject  [tex]\mathbf{H_o}[/tex] at ∝ = 5%, thus there is enough evidence to support the claim that the college students average daily ownership expenses are less than the national average.


Related Questions

Pls help extra points and mark brainlist

Answers

Answer: A

Step-by-step explanation:

[tex]5^4[/tex] because it in inside of the parentheses and is necessary to solve in order to complete [tex]100-5^4[/tex]

Which of the following is FALSE?

a. If you double each entry on a list, that doubles the mean.
b. If you double each entry on a list, that doubles the SD.
c. If you add 5 to each entry on a list, that adds 7 to the SD.
d. If you change the sign of each entry on a list, that changes the sign of the mean.

Answers

Answer:

c

Step-by-step explanation:

a. If you double each entry on a list, that doubles the mean. TRUE

b. If you double each entry on a list, that doubles the SD. TRUE

c. If you add 5 to each entry on a list, that adds 7 to the SD. FALSE

d. If you change the sign of each entry on a list, that changes the sign of the mean. TRUE

Therefore the only False statement is option c.

what is the slope between the points (-5 7) and (4 -8)?

Answers

Answer:

15/-9

Step-by-step explanation:

y2-y1/x2-X1

7-(-8) 15

-5-4. -9

URGENT!!! Find the value of x using the similar trapezoids below.

Answers

Answer:

x= 30

Step-by-step explanation:

find the corresponding ratio AD:EH

20:12=5:3

is it constant? yes because 15:9 is also 5:3

if we're trying to find x on the larger side, we do x:18

what divides into 18 to equal 3? 6

we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct

Need help pls will give crown
2. A bag of dog food weighs 40 lb. By weight, 16% of the ingredients is turkey. Find the weight of turkey in the dog food.

a) Show the work to set up the problem. You may either use the percent equation, set up a proportion, or use a ratio table but SHOW YOUR WORK.






b) What is the weight of the turkey in the dog food according to your work in part a? Solve and show your work.

Answers

Answer: 6.4 is ur answer

Step-by-step explanation:

U need to multiply 40 and 16

please help me if the answer is right i will give u brainlyiest
thanks! <3​

Answers

Answer:

The first one

Scale factor is 7

x = 3

The second one

Scale factor is 9

x = 99

Step-by-step explanation:

The first one

You can find out by dividing 49 by 7 which is 7

to find x =  21 divided by 7 is 3

The second one

You can find out by dividing 162 by 18 which is 9

to find x =  11 multiplied by 9 (since it is "opposite") is 99

answer please! i need both answers for both of the questions! help is greatly appreciated!

Answers

1. this question is quite simple because they already gave out the volume for all the blocks, so add them all up!
2. volume= LWH (length times width times height) so 4x4x4 gives a volume of 64. since the total of the blocks was 68, it will not fit

an isosceles triangle has an angle of 9x+1 and another of 88, find x

Answers

Answer:

Step-by-step explanation:

2(9x+1)+88=180

9x+1+44=90

9x=90-45=45

x=5

I need help with this today

Answers

He first multiplied 4 by 3 to get 12. Then he multiplied 12 by itself to get 144. He should have first multiplied 3 by itself. Then he should have multiplied the result 9 by 4. The correct value is 36.

The value of 34 + 5 ⋅ 5 = ___. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

39.5

Step-by-step explanation:

39.5? I’ve had something similar to this before on a test!

What is the factored form of x2 – X-2?
0 (x - 2)(x + 1)
(x + 2)(x + 1)
(x - 2)(x - 1)
0 (x + 2)(x - 1)

Answers

Answer:

( x-2) (x+1)

Step-by-step explanation:

x^2 – x-2

What two numbers multiply to -2 and add to -1

-2 * 1 = -2

-2 +1 = -1

( x-2) (x+1)

Answer:

(x+2)(x-1)

Step-by-step explanation:

x^2-x-2

(x^2+2x)(-x-2)x(x+2)-1(x+2)(x+2)(x-1)

Work out the surface area of the prism

Answers

Pretty sure the surface area is 47.5cm^2

do 2(1.5 x 5) = 15
then do 2(2.5 x 2) = 10
then do 2(2.5 x 5) = 25
15+10+25 = 50cm^3

-2(4h+6)/-6+h for h=-5

Answers

Answer:

I can you GIVE ME BRAINLEIST PLEASE

Step-by-step explanation:

DOWNLOAD PHOTOMATH

3 pops 2 boxes of popcorn for $23.00 juan bought 2 pops and 8 boxes of popcorn for $52.00 how much does a pop cost? How much does a box of popcorn cost?

Answers

you have to change it to algebraic form so the equation will be

3P + 2B = 23
2P + 8B = 52

yeah it should be easy to figure out like that

I need to find the function rule of the table​

Answers

Answer:

f(x)= -4x

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

PLZ HURRY I WILL MARK BRAINLIEST

Multiply h by 6 to get d.

A 2-column table with 4 rows. Column 1 is labeled hours with entries 1, 2, 3, 4. Column 2 is labeled dollars with entries 6, 12, 18, 24.

Which real-world situation matches the relationship shown in the table?
Simon needs 6 more dollars.
Simon makes 6 dollars per hour.
Simon lost 6 dollars.
Simon makes 1 hour for every 6 dollars.

Answers

Answer:

B

Step-by-step explanation:

i did it on edg!


For each situation, find the unit rates.
1.
A cheesecake recipe says, “Mix 12 oz of cream cheese with 15 oz of sugar."
a.
How many ounces of cream cheese are there for every ounce of sugar?
b.
How many ounces of sugar is that for every ounce of cream cheese?

Answers

Answer:

Step-by-step explanation:

(12 oz cream cheese)/(15 oz sugar) = (12/15 oz cream cheese)/(oz sugar)

= ⅘ oz cream cheese per ounce of sugar.

:::::

(15 oz sugar)/(12 oz cream cheese) = (15/12 oz sugar)/(oz cream cheese)

= 5/4 oz sugar per ounce of cream cheese.

100 POINTS AND BRAINNLEST IF YOU ANSWER AND HELP ME WITH THSI!! Roberto evaluated 34 ÷ 45 and got an answer of 1516. Which statement is true about his answer?

Answers

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Roberto's solution to the division problem is correct, but

there are no true statements on your list of choices.

Use the area of the rectangle to find the area of the triangle. ?​

Answers

Answer:

C

Step-by-step explanation:

rectangle: 5 × 10 = 50ft²

triangle: ½ × 10 × 5 = 5 × 5 = 25ft²

anthony got a new video game last week and has been playing against his dad . in their game, anthony has won 3 times as often as his dad. if anthony has won 6 games , how many game have they played​

Answers

Answer:

2 games

Step-by-step explanation:

6/3 = 2

Answer:

8

Step-by-step explanation:

Now find the measure of ∠YOZ. Which angle relationship did you use?

Answers

The angular measure of ∠YOZ is : 60° and the angular relationship used is vertically opposite angles(VOA).

How are angles formed?

Angles are formed when two lines meet. this could be a direct intersection or an intersection between two parallel lines and a transversal.

Angles can be acute, obtuse, or reflex.

Analysis:

Given data:

∠VOX = 90°

∠WOX = 30°

∠WOX + ∠VOW = ∠VOX

30° + ∠VOW = 90°( the two angles are complementary that is they sum up to 90°)

∠VOW = 90 - 30 = 60°

∠VOW  = ∠YOZ ( vertically opposite angles are equal)

∠YOZ = 60°.

in conclusion, the angular measure of ∠YOZ = 60° and the angular relationship used is vertically opposite angles.

Learn more about angles : brainly.com/question/25770607

#SPJ2

Which of the following is equivalent to the expression shown?

Answers

Answer:

C

Step-by-step explanation

3x--x=4x

1-2=-1

1/2 x 4x=2x

1/2x-1=-1/2

What is a correct way to rewrite abac?




a(b + c)


a2bc


2a(b + c)


abc

Answers

Answer: A(b+c)

Step-by-step explanation: Since you're multiplying A and A you would add the B+C

Answer:

a(b + c)

Step-by-step explanation:

PLEASE HELP LAST ONE ILL MARK BRAINLIEST

Answers

Answer:

p and q, p and r, q and s

Step-by-step explanation:

hope that helps


the price of a furniture is $250. the sales tax rate is 8.5%. what is the amount of the sales tax for this piece of furniture? a. $20.50. b. $29.41. c. $17.05. d. $21.25

Answers

Answer:

d

Step-by-step explanation:

Someone please help!!!!! i will mark brainliest :)

Answers

Answer:

you have to solve all of the equations i none square and then once you have all of the answers in each square, add them up and then solve the questions down below

Step-by-step explanation:

correct me if im wrong

Find the x and y intercepts of this line:
-5x+4y=-18

Answers

Answer:

Step-by-step explanation:

x- intercepts: ( 18/5,0)

y- intercepts: ( 0,-9/2)

y intercept: -9/2
x intercept: 18/5

Which ordered pair is a solution to the following
system of inequalities?

A. (-3,2)
B. (6,4)
C. (-1, -7)
D. (5,-2)

Answers

Answer:

A.

If you graph them, the answer A will be inside of the shaded area.

Plz help mee I am bad at math

Answers

it would be option D

Answer:

c. 42 1/12

Step-by-step explanation:

sorry if it's wrong. this was an educated guess

What does Q equal to

Answers

Bro give more details that could literally be anything
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