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

The difference between 8 forty-sevens and forty-sevens

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847 s - 47 I think that’s what it is

the temperature at 4 p.m. was -2 °c an hour later the temperature had decreased 3°c what was the temperature at 5:00 pm ?​

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Answer:

Step-by-step explanation:

3 degrees Celsius

It says at 4 p.m. was -2 degrees C. Then an hour later which would be 5 pm the temperature was 3 degrees C.

LeShawn is arranging a display of shirts at a department store. He wants to dress two mannequins in different colored shirts

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Answer:

ok so he needs to buy two different collored shirts

Step-by-step explanation:

please help me thanks ​

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i believe it would be the last answer, 6.25
if this is correct i’m very sorry, but if this helps, please mark brainliest. :)

Plz help !!!!!! I don’t understand

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That’s not enough information, send the parallel lines with the Intercept that has all the names of the angles

PLEASE I NEED HELP WITH MATH

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Answer:

117

Step-by-step explanation:

Hi, If you were to add 75 to 42, you would get 117. Since a triangle's angles all have to add up to 180, the last angle would be 63. However, you are looking for the outside angle, which would then just be 117. Hope this is right!

59:41 To build the roof for a paper house, a rectangular paper is cut to form a trapezoid. Which diagram shows the correct cuts? Save and Exit Mark this and return Nes Submn K​

Answers

Answer:

Step-by-step explanation:

wheres the diagram?

Answer:B

Step-by-step explanation:

Solve the system by graphing 3x+y=4 and x-y=4

Answers

Attached is a pic of the graph

15 points theres an image to help you guys out too i need it ASAP though.. please

Answers

Answer:

16

Step-by-step explanation:

8-1+9

7+9=16

the answer is=16

Answer:

16

Step-by-step explanation:

(8-1) = 7 + 9

= 16

D ......

please help me asap, i was absent the day we learned this and haven't been able to pick it up

Answers

Answer:

Your dead meat then...

Step-by-step explanation:

But I’m pretty sure its b?

sorry if it’s wrong

Answer:

the answer is c took this before


Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check

Answers

Answer:

She needs to score AT LEAST 19 points

Step-by-step explanation:

24 + 21 + 20 + 19 = 84

84 ÷ 2 = 21

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a

Answers

Answer:

disproportionate stratified sample

Step-by-step explanation:

Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.

Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).

Answers

Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6  + b

Then b must be -5, and so the desired new equation is

y = x - 5

What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:

Answers

Answer:

6

Step-by-step explanation:

6 is the slope of the function


If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?

Answers

Step-by-step explanation:

Given: Radius , r =21 cm

The angle at the center of the circle, n° =140°

Length of an arc =?

W.K.T Formula, Length of an arc = 2πr( n°÷360°) units

= 2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Answer:

2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Step-by-step explanation:

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:

Juan pago $50.00 pesos por 3 cajas de paquetes y 5 cajas de clavos, mientras que Pedro compró 5 cajas de taquetes y 7 cajas de clavos y tuvo que pagar $ 74.00 pesos . ¿ Cual es el precio de cada caja de taquetes y clavos ?
a) ¿ Cuantas incógnitas hay en el problema ?
b) ¿ Cuántas ecuaciones puedes construir según el texto?
c) ¿ Cuales son esas ecuaciones?

Answers

A) confusión al encontrar la suma de la diferencia de precios
B ) dos
C ) 50 dividida 8, 74 dividida 12


espero que esto haya ayudado!
te agradecería que me dieras un gracias y brainliest (:

Find the unit rate.

You earn $15 in 3/4 of a month. At this rate, how much do you make in 1 month?

Answers

Answer:

you make 20 dollars in a month

Step-by-step explanation:

15 is 3/4 a month, unit rate would be 5 dollars a week so therefore a whole month would be 20

Write an integer for: A bank deposit of $175

Answers

Answer:

175

Step-by-step explanation:

A deposit is adding money to the bank, so the integer will be positive.

That makes our integer: 175

Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16​

Answers

I believe it’s 362.16 but not 100%

A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms

Answers

Hello,

Answer: 1/52 (Queen) 1/52 (Heart)

Further explaining: A 52 deck of cards has one each of queen and heart. So take the selected card, and plug it into the numerator and the total, (including selected card) and add that into the denominator.
Hope this helps!

At a sports event, Luke scored 8.65 points. Mel scored 9.2 points. How many more points did Mel score than Luke? * PLZ HELP

Answers

Answer:

0.55

Step-by-step explanation:

9.2-8.64=0.55

i hope it helps

multiple of 3 and 5 less than 47 but greater than 42....​

Answers

Answer:

45

Step-by-step explanation:

45 > 42 but < 47 and it's a multiple of 3 and 5

A chain letter starts when a person sends a letter to five others. Each person who receives the letter either sends it to five other people who have never received it or does not send it to anyone. Suppose that 10,000 people send out the letter before the chain ends and that no one receives more than one letter. How many people receive the letter, and how many do not send it out?

Answers

Answer:

50,001 people sent out the letter.

40,001 did not send it out

also can i get brainliest???

Step-by-step explanation:

780 people receive the letter before the chain ends.

9,220 people do not send out the letter.

We have,

In the given scenario, the chain letter starts with one person sending it to five others.

Each recipient of the letter has the option to either send it to five new recipients or not send it to anyone.

Let's analyze the chain letter progression:

The first person sends the letter to 5 recipients.

Each of those 5 recipients has the choice to send the letter to 5 new recipients or not send it.

If each of the 5 recipients sends the letter to 5 new recipients, we have a total of 5 x 5 = 25 new recipients.\

If any of the 5 recipients choose not to send the letter, they are out of the chain.

Now, we have 25 recipients who received the letter and have the same choice: send it to 5 new recipients or not send it.

If each of the 25 recipients sends the letter to 5 new recipients, we have a total of 25 * 5 = 125 new recipients.

If any of the 25 recipients choose not to send the letter, they are out of the chain.

This process continues until the chain ends.

To determine how many people receive the letter and how many do not send it out, we can observe the pattern:

After the first step, there are 5 recipients.

After the second step, there are 5 + (5 * 5) = 30 recipients.

After the third step, there are 5 + (5 * 5) + (5 * 5 * 5) = 155 recipients.

After the fourth step, there are 5 + (5 * 5) + (5 * 5 * 5) + (5 * 5 * 5 * 5) = 780 recipients.

We can see that the number of recipients follows a geometric progression with a common ratio of 5.

The formula for the sum of a geometric progression is:

[tex]Sum = a (r^n - 1) / (r - 1)[/tex]

Where:

a = initial term = 5

r = common ratio = 5

n = number of steps

We are given that the chain ends after 10,000 people send out the letter. Let's calculate the number of recipients:

[tex]Sum = 5 (5^4 - 1) / (5 - 1)[/tex]

= 5 (625 - 1) / 4

= 5 624 / 4

= 780

Therefore, 780 people receive the letter before the chain ends.

To find the number of people who do not send it out, we subtract the number of recipients from the total number of people who sent out the letter:

Number of people who do not send it out = Total number of people - Number of recipients

= 10,000 - 780

= 9,220

Therefore, 9,220 people do not send out the letter.

Thus,

780 people receive the letter before the chain ends.

9,220 people do not send out the letter.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ2

The surface area of a three-dimensional object is the sum of the area of the faces. If represents the length of the side of a cube, write a formula for the surface area S of the cube.

Answers

Answer:

S = 6e²

I don't know what variable you're using here.

Step-by-step explanation:

There are 6 faces on a cube and they are all the same. Because of this, 6 is the coefficient in this equation.

A square's area can be found by squaring the side length (Which I'll represent with e). So e² is the variable.

Thus, the equation is S = 6e²

Polly buys 14 cupcakes for the party. the bakery puts them into boxes that hold 4 cupcakes each.
how many boxes will be needed for Polly to bring all the cupcakes to the party? Explain

Answers

Answer:

11 boxes

Step-by-step explanation:

14 didived by 4 is 10.25 so if you round you should get 11 .

Answer:

4, If you round.

Step-by-step explanation:

If you divide the 14 by 4, you get 3.5 and you can't really break the box in half.

So, you would have to use 5.

A customer at a store paid $96 for 5 large candles and 7 small candles. At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies Write a system that could be used find the price in dollars of each large candle, x, and each small candle, Y

Answers

Answer:

The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:

5x + 7y = 96...... Equation 1

4x + 8y = 88..... Equation 2

Step-by-step explanation:

From the question:

Let cost of:

large candles = x

Small candles = y

A customer at a store paid $96 for 5 large candles and 7 small candles.

Hence:

5x + 7y = 96...... Equation 1

At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies

Hence:

4x + 8y = $96 - $8

4x + 8y = 88..... Equation 2

The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:

5x + 7y = 96...... Equation 1

4x + 8y = 88..... Equation 2

The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
a) The rate of changes of the area of the rectangle is _______ cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is ____ cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is ____ cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.

Answers

Answer:

1) dA/dt = -21 cm²/s and Area is decreasing

2)dP/dt = 0 and perimeter is constant

3) dD/dt = 21/13 cm/s and diagonal is increasing

Step-by-step explanation:

We are given that;

length l of a rectangle is decreasing at a rate of 3 cm/sec.

Thus, dl/dt = -3 cm/sec

Also, the width w is increasing at a rate of 3 cm/sec. Thus;

dw/dt = 3 cm/sec

When l=5 cm and w=12 cm;

A) Area is given by the formula;

A = lw

The rate at which area is increasing is;

dA/dt = l(dw/dt) + w(dl/dt)

Plugging in the relevant values;

dA/dt = 5(3) + 12(-3)

dA/dt = 15 - 36

dA/dt = -21 cm²/s

This is less than 0.thus, A is decreasing.

B) Formula for perimeter is;

P = 2l + 2w

rate of change of perimeter is;

dP/dt = 2(dw/dt) + 2(dl/dt)

Plugging in the relevant values, we have;

dP/dt = 2(-3) + 2(3)

dP/dt = 0

Thus,Perimeter is constant

C) the length of the diagonal of a rectangle is given by;

D = √(w² + l²)

Rate of change of diagonal is;

dD/dt = [2w(dw/dt) + 2l(dl/dt)]/(2√(w² + l²))

2 will cancel out in numerator and denominator to give;

dD/dt = [w(dw/dt) + l(dl/dt)]/(√(w² + l²))

Plugging in the relevant values gives;

dD/dt = [12(3) + 5(-3)]/(√(12² + 5²))

dD/dt = (36 - 15)/13

dD/dt = 21/13 cm/s

This is greater than 0.

Thus, diagonal is increasing.

part two thinking a number between 1 and 10 but doble the money!

Answers

The answer is 5 dhrnrhenebbebdbrhebrjrn

I need help for math plz :(

Answers

Answer:

Option D

Step-by-step explanation:

Set of data in terms of ordered pairs represents a function when output value of each input value is different.

Option A

Since, for every value of x there is a different value of y, it's a function.

Option B

In each ordered pair, for every value of x there is a different value of y.

Therefore, it's a function.

Option C

From the given graph, for every value of x there is a different value of y.

Therefore, it's a function.

Option D

From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).

Therefore, the given set of ordered pairs doesn't represent a function.

Option D is the answer.

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