College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students. I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days. What is the T value for this data, and can you reject the null?

Answers

Answer 1

Answer:

The t-value for this data is -4.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Step-by-step explanation:

College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students.

At the null hypothesis, we test if the mean is of 12, that is:

[tex]H_0: \mu = 12[/tex]

At the alternative hypothesis, we test if the mean is different of 12, that is:

[tex]H_1: \mu \neq 12[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days.

This means that [tex]n = 36, X = 8, s = 6[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{8 - 12}{\frac{6}{\sqrt{36}}}[/tex]

[tex]t = -4[/tex]

The t-value for this data is -4.

P-value of the test:

Considering a standard significance level of 0.05.

Test if the mean is different from a value, so two-tailed test, with 36 - 1 = 35 df and t = -4. Using a t-distribution calculator, the p-value is of 0.0003.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.


Related Questions

A can do a piece of work in 3 days and B in 6 days. In how many days will they do it together? ​

Answers

Answer: 2 days

Step-by-step explanation:

We will add there work together

= 1/3 + 1/6

= 2/6 + 1/6 (LCM 6)

= 3/6

= 1/2

Therefore 1/2 = 2 days

Therefore it will take them 2 days

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a kitchen floor is 9 feet long and 6 feet wide. the number of yards of molding needed to old the linoleum around the outside edge is

Answers

Answer:

30 feet

Step-by-step explanation:

The molding needed would be equal to the perimeter of the kitchen floor. The perimeter of the kitchen floor is 2*(9+6)=30 feet

A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

How to find the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) \: \rm unit

A kitchen floor is 9 feet long and 6 feet wide is given.

The molding needed would be equal to the perimeter of the kitchen floor.

The perimeter of the kitchen floor = 2 (9+6)

The perimeter of the kitchen floor = 30 feet

Therefore, A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

Learn more about the perimeter;

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PLEASE HELP IT IS DUE IN TWO HOURS AND I CANT UNDERSTAND IT PLSSSSSS

Answers

Answer:

The distance from Tre’s house to Owen’s house is 10 miles.

The distance from Owen’s house to Alejandro’s house is 14 miles.

The distance from Alejandro’s house to the beach is about 10.77 miles.

The total distance of the trip to the beach is about 33.53 miles

Step-by-step explanation:



In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. If the spectator has an angle of 110° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole? 70.0° 41.1° 28.9° 19.9°

Answers

Answer:

28.9°

Step-by-step explanation:

The golfer, hole and spectator form a triangle. Let ABC be the triangle and let the angle the spectator has between the golfer and the hole be A = 110°, the angle the golfer has between the spectator and the hole be B and the angle the hole has between the golfer and the spectator be C. Let the angle between the golfer and the hole be a = 200 yards, the distance between the spectator and the hole be b and the distance between the golfer and the spectator be c = 140 yards,

Using the sine rule for the triangle, we find angle C.

So, a/sinA = b/SinB = c/SinC

So, a/sinA = c/sinC

sinC = csinA/a

C = sin⁻¹(csinA/a)

Substituting the values of the variables into the equation, we have

C = sin⁻¹(csinA/a)

C = sin⁻¹( 140sin110°/200)

C = sin⁻¹( 7 × 0.9397/10)

C = sin⁻¹(6.5778/10)

C = sin⁻¹(0.65778)

C = 41.13°

We know that A + B + C = 180°  (sum of angles in a triangle)

And since the angle the golfer has between the spectator and the hole be B

So, B = 180° - (A + C)

B = 180° - (110° + 41.13°)

B = 180° - 151.13°

B = 28.87°

B ≅ 28.9°

The angle that the golfer has between the spectator and the hole is 28.9°.

Angel between spectator and holes:

Using the law of sines:

BC/SinΔBAC=AB/SinΔACB

Hence,

200/Sin110°=140/SinΔACB

ΔACB=41.1°

Thus,

ΔABC=180°-ΔBAC-ΔACB

ΔABC= 180° - (110° + 41.1°)

ΔABC= 180° - 151.1°

ΔABC= 28.9°

Inconclusion the angle that the golfer has between the spectator and the hole is 28.9°.

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PLSS HELPP
I already know the answer just help me by plotting them in the graph.

Answers

Answer:

plotting the (x,y) coordinates in graph

Solve : 3X + 3x + 1 + 3x + 2 = 39​

Answers

Step-by-step explanation:

[tex]3x + 3x + 1 + 3x + 2 = 39 \\ 9x + 3 = 39 \\ 9x = 39 - 3 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

combine all of the 3x first to get:

9x + 1 + 2 = 39

9x + 3 = 39

subtract 3 from both sides:

9x = 36

divide by 9

x = 4

what is the one solution for the linear equations y=3x-5 and y=-3x+7

Answers

Answer:

y=1 and x=2

Step-by-step explanation:

Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2

Answer:

The solution is (2,1)

Step-by-step explanation:

Set the two equations equal

y=3x-5 and y=-3x+7

3x-5 = -3x+7

Add 3x to each side

3x-5+3x = -3x+7+3x

6x-5 = 7

Add 5 to each side

6x-5+5 = 7+5

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Now find y

y =3x-5

y=3(2)-5

y = 6-5

y=1

The solution is (2,1)

You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?

Answers

Answer:

606 shares

Step-by-step explanation:

Number of shares= (Total money spent)/(Each share price)

Number of share=(8307)/13.71=605.9≈606

Match the word to know with its definition


Expanded form

Product

Place value

Digit


A number that is written as a sum of single digit multiples of powers of 10

Any of the symbols ( 0 to 9 ) that are used to write a number

The result of multiplying two or more numbers together

The value of where a digit is located in a number

Answers

Expanded form
- A number that is written as a sum of single digit multiples of powers of 10.
Consider the number 3,559,761
The expanded form of it is:
3,000,000 + 500,000 + 50,000 + 9,000 + 700 + 60 + 1

Product
- The result of multiplying two or more numbers together.
EXAMPLE:
Multiply 4 x 3 = 12
12 is the product
Product is the answer you get from multiplying two or more numbers together.


Place value
- The value of where a digit is located in a number.
Consider the number “350”
The place value of 3 in 350 is 300
Place value of 5 = 50
Place value of 0 = 0

Digit
- Any of the symbols (0 to 9) that are used to write a number.

I HOPE THIS HELPS!


Use the interactive to solve. What is the difference between –5 and 3?​

Answers

The answer is -8
difference is another way to say subtract so it could be shown as (-5) - 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{When you hear the word \underline{\underline{difference}} in math it means subtract/}\\\large\text{subtraction}[/tex][tex]\large\text{When you hear the word \underline{\underline{sum}} in math it means add/addition}[/tex][tex]\large\text{When you hear the word \underline{\underline{product}} in math it means multiply/}\\\large\text{multiplication}[/tex][tex]\large\text{When you hear the word \underline{\underline{quotient}} it means divide/division}[/tex]

[tex]\large\text{Question reads \underline{\underline{What is the \boxed{\large\text{DIFFERENCE}} between -5 \& 3}} ?}[/tex]

[tex]\large\text{Fun fact: you can use a number line to find your result as well.}\\\large\text{For example in this equation you START at -5 and move down 3}\\\large\text{spaces to your left}[/tex]

[tex]\large\text{REMEMBER: we said difference means \boxed{\large\text{subtract}}, so we have to}\\\large\text{\underline{subtract} both numbers from each other to find their differences.}[/tex]

[tex]\large\text{-5 - 3}\\\large\text{= \bf -8}[/tex]

[tex]\large\text{So, the DIFFERENCE between -5 \& 3 is \boxed{\bf -8}}[/tex]

[tex]\boxed{\boxed{\huge\text{The difference is: \boxed{\bf -8}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280

Answers

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

Answer ASAP please!

Answers

Answer:

"A" seems to be incorrect....

Step-by-step explanation:

"A" seems to be incorrect....

[tex]\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}[/tex]

What is the range & domain of the set
R: {(−4, 23), (25, 17), (-15, -29), (32, 21), (3, −10)}

Answers

This question is solved using range and domain concepts. Doing this, it is found that:

The domain is: {-15, -4, 3, 25, 32}The range is: {-29, -10, 17, 21, 23}

--------------------------------------

Domain: In a data-set, the domain is composed by the input values.Range: In a data-set, the range is composed by the output values.

--------------------------------------

In a set of ordered pairs, the first term in a pair represents the input and the second represents the output.In this set, the inputs are: -4, 25, -15, 32, 3The outputs are: 23, 17, -29, 21, -10

Thus:

The domain is: {-15, -4, 3, 25, 32}The range is: {-29, -10, 17, 21, 23}

A similar question is given at https://brainly.com/question/18141895

m/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x​

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:

[tex]m\angle DCB = m\angle HCB + m\angle DCH[/tex]

Substitute in the appropriate values/expressions:

[tex](9x-1) = (60) + (2x+16)[/tex]

Solve for x. Combine like terms:

[tex]9x - 1 = 2x + 76[/tex]

Subtract 2x from both sides:

[tex]7x - 1 = 76[/tex]

Add one to both sides:

[tex]7x = 77[/tex]

And divide. Hence:

[tex]x=11[/tex]

Answer:

x=11

Step-by-step explanation:

<DCB = <DCH + < HCB

9x-1 = 2x+16 + 60

Combine like terms

9x-1 = 2x+76

Subtract 2x from each side

9x-1-2x= 2x+76-2x

7x-1 = 76

Add 1 to each side

7x-1 +1 = 76+1

7x = 77

Divide by 7

7x/7 = 77/7

x=11

by which smallest number should the following number be multiplied to make the perfect square of 384​

Answers

The prime factorization of 384 = 2^7 * 3.

So in order to make it a perfect square, you must multiply it by 2*3 = 6 to make is 2^8 * 3^2.

What is the sum of the greatest number and least number formed by the digits 4,7,0and 9​

Answers

Answer:

13819

Step-by-step explanation:

The biggest number is :9740

The smallest number is :4079

Sum means addition so...

9470 + 4079 = 13819

A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?

Answers

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25

A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

Answers

5 busses, 4 cars. 5x45= 225. 4x5=20. 225+20=245

Answer:

4 cars and 5 buses

Step-by-step explanation:

245÷ 45=5.4

45×5=225

245-225=20

20÷5=4

Pls help and fast! 17 points!

Answers

Answer:

54 square units

Step-by-step explanation:

144 - 18 - 4(18) = 54 square units

What is the distance from the plane

Answers

Answer:

here's the answer to your question about

Angela has a rectangular piece of paper and cuts a rectangle out of a corner what are the area and perimeter of the resulting shape help me find the perimeter only

Answers

The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape

The perimeter of the figure is 74cm and the area of the figure is 231 square cm

I've added shape as an attachment.

The perimeter is the sum of all side lengths. So, we have:

[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]

[tex]Perimeter = 74cm[/tex]

To calculate the area, we split the shape into 2.

The first has the following dimension:

[tex]Length = 6cm[/tex]

[tex]Width = 7cm[/tex]

While the second has the following dimension

[tex]Length = 21cm[/tex]

[tex]Width = 9cm[/tex]

The area of the shape is:

[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]

[tex]Area = 231cm^2[/tex]

Hence, the shape has a perimeter of 74cm and an area of 231 square cm

Read more about area and perimeters at:

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Find the surface area of the composite figure,
2 cm
6 cm
14 cm
8 cm
8 cm
4 cm
6 cm
2 cm
SA = [?] cm²​

Answers

It’s 77 so we don’t know how about it is

85°
4x + 21°
what do I am suppose

Answers

Answer:

x= 16

4x+21 = 85 degrees

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

85 = 4x+21

Subtract 21 from each side

85 -21 = 4x+21-21

64 = 4x

Divide by 4

64/4 = 4x/4

16 = x

Answer:

16degrees

Step-by-step explanation:

As these angle are (vertically opposite angles)

So,85=4x+21,

85-21=4x

x=64/4

x=16degrees

how can i learn math well?

Answers

Redo the answers over and over until you understand the situation

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

solve for θ:

sin(θ-70)=cos(θ)

pls help and explain step by step
thank you ​

Answers

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

please help! need the answers in order to move on:) will give brainliest to correct answer!

Answers

The answer is 5 3/3 but the on something that look likes a check mark ur gonna put the 3 on top & the other 3 on the bottom & ur gonna out the 5 on the check

please help with question 6.
A,b,c and d

Answers

9514 1404 393

Answer:

  a) 6.4 m

  b) 5.7 m

  c) 6.3 m

  d) 6.0 m

Step-by-step explanation:

The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.

In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.

For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:

  c² = a² +b²

  c = √(a² +b²)

For figure (a), this is ...

  c = √(4² +5²) = √41 ≈ 6.4 . . . meters

Journal Write a subtraction problem involving
numbers. At least one decimal must include hundredths. Explain how to solve
your problem.
Please help I will give you Brainlyest

Answers

Answer:

Problem: 5.24 - 4.93

Step-by-step explanation:

You subtract just like a normal Addition problem however you MUST make sure the decimal point line up,...

[tex]5.24\\4.93\\[/tex]

1st: subtract the 3 from the 4 [0.01]

2nd: subtract the 9 from the 2 (make the 2 a 12 (by carrying a one from the 5 (which then becomes a 4))) [0.30]

3rd: Finally subtract the 4 from the 4,... 0

Answer = 0.31,...

A more summed up answer: Subtracting (and adding for that matter) decimals happens exactly like normal. However you MUST MAKE SURE that your decimal points are lined up,... if you are subtracting a 0.09 from a 4.5 and the 4.5 doesn't have a hundredths place just remember that you can add a 0 on the end (4.50) without chancing it's value. (and then just subtract like normal)

If 7 beans were on your plate, and you took away 2 bananas, how many apples are left?

Answers

Answer:

4 tacos

Step-by-step explanation:

according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.​

Answers

Answer:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.

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