An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer 1

Answer:

Test statistic = 1.664

Step-by-step explanation:

The hypothesis :

H0 : μ = 47.2

H1 : μ ≠ 47.2

Given that :

Sample mean, xbar = 47

Sample size, n = 250

Standard deviation, σ = 1.9

The test statistic :

(xbar - μ) ÷ (σ/√(n))

T = (47 - 47.2) ÷ (1.9/√(250))

T = (0.2 / 0.1201665)

Test statistic = 1.664


Related Questions

Mrs. marks has to pay if she drives 300 miles. 25 + 0.30*m=

Answers

Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

Determine whether each sequence is geometric. Explain.
256, 128, 64, 32, ...

Answers

Answer:

Its geometric because each number is being divided by 2.

r (90 degree) (def) for d (0,5) e (-2,8) f(-3,-5)

Answers

Answer:

d'(5,0) e'(8,2) f(-5,3)

Step-by-step explanation:

When rotating 90 degrees clockwise you only flip the x,y coordinates and changes the x

Example- (4,5) would become (5,-4)

HELP!!!
graph and label the following real numbers on the number line:

Answers

Answer:i dont know yet

Step-by-step explanation:

I don’t know bug good luck

Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help

Answers

Answer:

3n + 12

n + n + n + 4 + 4 + 4

(n+4) + (n+4) + (n+4)

Step-by-step explanation:

Simplify 3(n+4).

3 x n = 3n

3 x 4 = 12

3n + 12

Expand.

3(n+4)

3 x n = n + n + n

3 x 4= 4 + 4 +4

And

3(n+4)

= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)

Find the equation of the line passing through point (-1, -2) and having
slope 1/5. Show work.

Answers

Answer:

Y=1/5x+ -2

Step-by-step explanation:

Hope this helps

Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.

Answers

They are parallel because they have the same slopes (5x)

There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?

Answers

Answer:

• For this one we need to split this problem into two equations:

• a (adults) + c (children) = 560

• 2a + c = $860

• Then we substitute 560 - a for c in the second equation.

2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265

• Then we plug this into the first equation:

265 + c = 560

c = 295

Step-by-step explanation:

I hope this helps you !!

A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)​

Answers

Answer: B. (-3, 0)

Step-by-step explanation:

y = -3x - 9...(1)

y = 3x + 9...(2)

Substitute (1) into (2)

3x+9=-3x-9

6x=-18

x=-3

Substitute y=0 into (1)

y=3(-3)+9

y=0

Therefore, the solution to the system is the ordered pair (-3, 0)

Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.



5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?

6) How much will Nick have paid total for the house for the 30-year fixed mortgage?

7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?

8) How much will he have paid total for the house if he does a 15-year mortgage?

Answers

Answer:

this is hard too

Step-by-step explanation:

Miss Johnson has in her classroom closet 32 boxes with 245 counters. She wo

to redistribute them and share them equally in 25 bags for a class activity.

a) How many counters will she put in each bag?

b) Will she have any counters left? If yes, how many?

Answers

Answer:

she will put 9 counters in each bag

she will have 20 counters left over

Answer:

a. 9 each

b. yes she will have 20 left

Step-by-step explanation

245/25=9.8 but if equally it will be 9 with a remainder of 20

that solves everything

Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?

Answers

Answer:

$28

20 plus 40 percent

that's the answer

A boat travels upstream a distance of 24 miles on a
river whose current is a constant rate of 3 mph. The boat returns downstream. The trip up the
river and back down the river takes a total time of 6 hours. What would the speed of the boat
be in still water?

Answers

Answer:the answer will be 48

Step-by-step explanation: 24 divided by 3 =8 x 6 =48

I REALLY HOPE THIS HELPS

9x + 3 – 7x + 4
Help me out please?

Answers

Answer: The answer is 2x + 7.

Explanation: First, we need to add the numbers:

9x + 3 – 7x + 4

9x + 7 - 7x

And finally, we combine like terms:

9x + 7 - 7x

2x + 7

the answer is 2x plus 7

the 9-dight number that identifies the bank that a check came from is called ​

Answers

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell

Answers

IT SUPPOSED THE BE LAKE CLIPSON

Samuel drives 144 miles in 2 1/4 hours. If he continues at the same rate, he will have driven
miles in 6 hours

Answers

Find number of miles driven in one hour:

144 miles / 2 1/4 hours = 64 miles per hour

Multiply by 6 hours:

64 x 6 = 384 miles

Answer: 384 miles

HELP PLEASE.!!!
This week Sally withdrew $35 from her bank account and deposited $90 into her bank account. Overall, how much did she add to her bank account.

Answers

Answer:

55

Step-by-step explanation:

What is this word phrase as a math expression? 4 times the sum of a number and 11
1 point
4(x + 11)
4x + 11
4 + (x + 11)
4x + 11 x

Answers

Answer:

i think that the correct answer is 4x+11

Please HELP Write the graph's domain and range in interval notation.

Answers

Step-by-step explanation:

Domain: x€ [ -7;7]

Range : y€ [-6;4]

For the domain, the graph's x-values are from -7 to 7

For the range, the graph's y-values are from -6 to 4

Question is in picture
IS MNL=QNL? Why or why not?

Answers

Answer:

B) Yes, they are both right angles.

Step-by-step explanation:

99 points


solve the system of equations by graphing

k12 test interim checkpoint 4

Answers

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

Pls help I’ll brainlest help I’m failing do it on a paper and put it in the answer box

Answers

Didn’t have the colors but i labeled what should be what color.

A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x–2y=p?

p=

Answers

Answer:

Step-by-step explanation:

the line passes through the point (4,7) and has a slope that is reciprocal of the slope of the line y=1/3x+2

point slope form and slope intercept form pls​

Answers

first you have to change 1/3 to -3

y=-3x+2

then you have to replace 2 with 'b' because you don't know the y intercept yet

y=-3x+b

then you substitute the point (4,7) into the equation

7= -3(4) + b

7= -12 + b

19 = b

y = -3x + 19 is the equation in slope intercept form

for point slope form:

-3x is still the slope and you replace x and y with the point 4,7

y- 7= -3 (x-4)

The answer is 10^-2/3+5

Answers

Answer:

k

Step-by-step explanation:


Please help me simplify this answer.

Answers

Answer:

D

Step-by-step explanation:

if x =4 and y =5

the expression = 818.3396

and D the only expression done the same result

8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?

Answers

Answer:

$200 at 5%$800 at 6%

Step-by-step explanation:

Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...

  0.05(1000-x) +0.06x = 58

  50 +0.01x = 58 . . . . . . . . . . . simplify

  0.01x = 8 . . . . . . . . . . . . . . . subtract 50

  x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%

  (1000-x) = 200 . . . . . . . find the amount invested at 5%

Lara invested $200 at 5% and $800 at 6%.

Solve the equation for the variable 49-2/3x=32-1/6x

Answers

Answer:

No Solutions

Step-by-step explanation:

I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.  

Therefore, x has no solutions.

Answer:

Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5

Step-by-step explanation:

How would I solve this algebra question? Step by step

Answers

First find out what’s X. You’ll first do x - 7 and square root it. Next step is after you find out that is add 9 which should give you the same number you filled in for X
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