Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample standard deviation is 2.728. The driver’s manual for Betty’s car lists the mpg for her car as 25. t equals fraction numerator x with bar on top minus mu over denominator begin display style beveled fraction numerator s over denominator square root of n end fraction end style end fraction The t test statistic for a two-sided test would be __________.

Answers

Answer 1

Answer:

3.188

Step-by-step explanation:

Given that :

Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7

Sample standard deviation (s) = 2.728

Mean (mu) = 25

Tstatistic formula :

(x - mu) / (s/sqrt(n))

n = sample size = 6 ; s = 2.728 ; mu = 25

Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6

Sample mean (x) = 171.3 / 6 = 28.55

Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))

Tstatistic = 3.55 / 1.1137013

Tstatistic = 3.1875692


Related Questions

What is the image of the point (-8,0)(−8,0) after a rotation of 270^{\circ}270

counterclockwise about the origin?

Answers

Answer:

(0,8)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise, the formula for 90 clockwise is (y, -x) so plug in the variables and you get (0,8)

The fence is 106 meters long. Each section of fence is 3 meters long. How many sections were needed to complete the fence?

Answers

answer: approximately 35
explanation:
divide 106 by 3 = 35.33

There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?

Answers

Answer:

108

Step-by-step explanation:

Answer:

108 cubes

Step-by-step explanation:

9 times 12 equals 108

9 • 12 = 108 cubes

help help help help​

Answers

Answer:

2,341.779

Step-by-step explanation:

Estimate the solution of 4x + 5 = 34.

Answers

Answer:

29/4

Step-by-step explanation:

4x=29

x=29/4

The value of x and the solution of the equation is 7.25.

What is an Equation?

An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.

The solution of 4x+5 = 34 is

4x = 34-5

4x = 29

x = 29/4

x = 7.25

The value of x and the solution of the equation is 7.25.

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I need help on a math problem on my homework

Answers

What’s the question

Answer: Where is the question?

Step-by-step explanation:

(2/3)x = 12
what does x =

Answers

Answer:

x=18

Step-by-step explanation:

To solve for x you need to times both sides by 3/2 so then 12*3/2=12*1.5=18.

(can I get brainliest please)

Answer:

X = 18

Step-by-step explanation:

(2/3)X = 12

X = 12/(2/3)

X = 36/2

X = 18

Lana correctly answered 48 of 60 questions on a math exam. What percent of questions did she answer correctly?

Answers

Answer:

I think it roughly 66.67%

Step-by-step explanation:

sorry if I'm no help

The percent of questions she answered correctly is 80%.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Given;

Lana correctly answered 48 of 60 questions on a math exam

Now,

=48*100/60

=480/60

=80

Therefore, the percentage will be 80%.

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Slope= 3 point (-4,6)

Answers

Answer:

y = 3x + 18

Step By Step Explanation

I hope this is what you wanted, I don't know what the answer was supposed to be.

Herbert has 30 total movies. 18 of them are adventure. What percent of his movies are adventure movies

Answers

Answer:

60%

Step-by-step explanation:

18 out of 30 movies are adventure so we can vizualize this as

18/30 this giving us the decimal 0.60

Now to convert from a decimal to a percent just multiply by 100 or move the decimal to the right 2 decimal point.

0.60 x 100 = 60%

Answer:

hi

Step-by-step explanation:

because

in a packet or Skittles there are, 40 Skittles,30 are red how many Skittles are not red

Answers

Answer:

10

Step-by-step explanation:

hope this helps ")

Solve for x
4x + 188
6x+216

Answers

X=-14
Explanation is :

is 42x - 56y equivalent to 42 (x + 14y)​

Answers

Answer:

No

Step-by-step explanation:

42x+588

Pls solve I will give brainliest

Answers

Answer:

B

Step-by-step explanation:

If I am wrong let me know

2x ( 4x - 5) (22 – 81) = 0

Answers

Answer:

0.500

Step-by-step explanation:

What is the value of A if sin (A) = 3√2?

Not here
60
45
30

Answers

Answer:

sin A = √3/2sin A = sin 60°A = 60°Now, cot A = cot 60° = 1/√32cot² A - 1 = 2cot² 60° - 1= 2(1/√3)² - 1= 2/3 - 1 = -1/3Hence your required answer is -1/3Hope This Helps You!

Step-by-step explanation:

it might work

Two shirt screening companies charge a set up fee and a charge for
each shirt made. The table shows the total costs for the company
Shirt Express. The total cost y (in dollars) for x shirts made by Shirt
Custom is represented by the equation y = 8 + 46.

Answers

Answer:

y=54

Step-by-step explanation:

for edmentum or plato how do you make a chart or graph larger. not enough rows for my checkbook assignment ​

Answers

here hope this helps!

Step-by-step explanation:

can u pls help me with this question​

Answers

Answer:

5 gallons per fish

Step-by-step explanation:

Your first answer is correct because anytime a line passes through the origin, it is proportional.

To find the number of gallons per fish, we can take the first point which is (2, 10) and divide it by 2; (2÷2, 10÷2) = (1, 5)

This means that for every fish you get, you will need 5 gallons of water to meet the requirement.

Best of Luck!

there are 5 gallons per fish.

Select two ratios that are equivalent to 2:9

Choose 2 correct answers 40 points

Answers

Answer:

4:18 6:27 8:36

Step-by-step explanation:

Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?

A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
B. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
C. A payday loan for $1500 that is due in 10 days with a fee of $90.
since it has the longer period
D. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period

Answers

Answer:

B. A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period

The higher effective interest rate is for  A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.

What is Interest Rate?

Interest Rate is the rate at which a person either takes loan, or a person lends money to somebody.

The interest rate is different for different types of loans, some interest are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.

A payday loan has principal of $1500

It is due in 12 days, so time period is 12 days.

The interest amount is $90

I = P * R *T / 100

90 = 1500 *12 *R /100

R = 0.5 %

A payday loan has principal of $1500

It is due in 10 days, so time period is 10 days.

The interest amount is $90

90 = 1500 *10 *R /100

R = 0.6 %

The rate of interest  is more for a payday loan for $1500 that is due in

10 days with a fee of $90.

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Please give me the correct answer ​

Answers

Your answer would be: 3 x 10^-5

Hope this helps and happy holidays!!

What is the range in interval notation?

Answers

Answer:

The blue box

Step-by-step explanation:

Youre talking about range which takes place on the y-axis (domain is the x-axis).

The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.

A 6% sales tax charged on a $43.50 Item. How much is paid for the item altogethe

Answers

Answer: Simply multiply 43.50 x .06 you get 2.61 add them = $46.11

Step-by-step explanation:

Answer:

$46.11

Step-by-step explanation:

Net price $43.11

plus tax $2.61

Which points are separated by a distance of 4 units? a. (7,7) (1,7) b. (3,3) (1,3) c. (4,2) (8,2) d. (2,4) (5,4)

Answers

Answer:

c

Step-by-step explanation:

with the knowledge that we are comparing the x position we can get the equation |x_1-x_2|=4, then just do the maths

(4,2) (8,2) points are separated by a distance of 4 units.

What is distance formula?

The 2D distance formula gives the shortest distance between two points in a two-dimensional plane.

Distance Formula =  [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

Given

Distance of 4 units

Option A:

[tex](x_{1} ,y_{1})=(7,7)[/tex]

[tex](x_{2} ,y_{2})=(1,7)[/tex]

Distance = [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

= [tex]\sqrt{(1-7)^{2}+(7-7)^{2} } =6[/tex]

Option B:

[tex](x_{1} ,y_{1})=(3,3)[/tex]

[tex](x_{2} ,y_{2})=(1,3)[/tex]

Distance = [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

= [tex]\sqrt{(1-3)^{2}+(3-3)^{2} } =2[/tex]

Option C:

[tex](x_{1} ,y_{1})=(4,2)[/tex]

[tex](x_{2} ,y_{2})=(8,2)[/tex]

Distance = [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

= [tex]\sqrt{(8-4)^{2}+(2-2)^{2} } =4[/tex]

Option C is correct.

Option D:

[tex](x_{1} ,y_{1})=(2,4)[/tex]

[tex](x_{2} ,y_{2})=(5,4)[/tex]

Distance = [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

= [tex]\sqrt{(5-2)^{2}+(4-4)^{2} } =3[/tex]

Hence, (4,2) (8,2) points are separated by a distance of 4 units.

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Which polynomial represents the product of 2x - 4 and x2 + 6x - 2 ?
ОА
2x3 + 8
thing
B
2x3 + 8x2 - 4x + 8
с
2x3 + 8x2 - 28x + 8
D
2x3 - 24x - 2

Answers

Answer:

C. [tex] 2x^3 + 8x^2 - 28x + 8 [/tex]

Step-by-step explanation:

Product of [tex] 2x - 4 [/tex] and [tex] x^2 + 6x - 2 [/tex]

[tex] (2x - 4)(x^2 + 6x - 2) [/tex]

[tex] 2x(x^2 + 6x - 2) -4(x^2 + 6x - 2) [/tex] (distributive property)

[tex] 2x^3 + 12x^2 - 4x -4x^2 - 24x + 8 [/tex]

Collect like terms

[tex] 2x^3 + 12x^2 - 4x^2 - 4x - 24x + 8 [/tex]

[tex] 2x^3 + 8x^2 - 28x + 8 [/tex]

What is the slope of the equation y-5=9/7(x+4)

Answers

The slope of this equation is 9/7.

n ÷ -6 = 4 - (-2)

-12

36

-36

12 ********************************

Answers

Answer:12

Step-by-step explanation:

;)88):4?8’kifssvjimdargyjkk

The price of a television was increased from $200 to $250. By what percentage was the price of the television increased

Answers

Answer:

20%

Step-by-step explanation:

cuz quick meths

What is 0.612 repeating (meaning the repeating line is over 612) as a fraction

Answers

Answer:

[tex]\frac{612}{999}[/tex]

Step-by-step explanation:

To convert repeating decimals to fractions, you take the numbers that are repeating, in this case 612, and you see how many numbers are repeating. Here we have 3 numbers repeating and so you would divide 612 by 3 9's meaning 999. So 0.612 repeating is equal to [tex]\frac{612}{999}[/tex]. To make sure the answer is right, you can divide the numbers in a calculator to make sure you get the correct decimal.

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