Mathematics High School

Sophia, a yoga instructor at Yoga for You, selected random samples of 210 students from a nearby high school and 210 students from a nearby college to compare levels of physical fitness. The mean and standard deviation of the fitness levels of the high school students were 82 and 14 respectively. The mean and standard deviation of the fitness levels of the college students were 86 and 17 respectively. She conducted a two-sided t-test with a resulting t-value of 2. 63. Lf a = 0. 05, what is an appropriate conclusion from this study?


Because the sample means only differ by four, the population means are not significantly different.


Because the second group has a larger standard deviation, their mean fitness score is significantly higher.


Because the second group has a larger standard deviation, the mean fitness score of the first group is significantly higher


Because the p-value is greater than a 0. 05, the mean fitness scores for the two groups of students are not significantly different.


Because the p-value is less than a 0. 05, the mean fitness scores for the two groups of students are significantly different

Answers

Answer 1
Answer:  Choice D

Because the p-value is less than 0.05, the mean fitness scores for the two groups of students are significantly different

========================================================

Explanation:

Use a T calculator to find that P(T > 2.63) = 0.00459 approximately when we have 209 degrees of freedom.

Double this to get 2*0.00459 = 0.00918 and this is the approximate p-value

Since the p-value is less than alpha = 0.05, this means we reject the null and conclude that the two population means are significantly different.

Related Questions

HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. Write a direct variation equation relating Lee’s pay x to the hours worked y. Then find her pay if she works 25 hours in a week. y = 7.6x; $190

Answers

Answer: 90$

Step-by-step explanation:

Find the surface area. HELP PLEASE!!!!​

Answers

Answer:

I think the answer is 792

Answer:

SA = 696cm^2

Step-by-step explanation:

First we need to identify the shapes

There are 3 rectangles and 2 triangles

Now the individual surface area for each shape

20 x 10 = 200 (1 rectangle)

1/2(12 x 8) = 48 (1 triangle)

Now we add them together

(200 x 3) + (48 x 2) = 696

Suppose a 8-year loan for principal amount
$8500
was taken out. Over the life of the loan
$3400
was paid. If interest did not compound, what was the interest rate per year?

Answers

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

A right rectangular prisim has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prisim with no space remaining. What is the volume in cubic feet of the right rectangular prisim?

Answers

the answer would be 90feet ^3

help quick i will give brainliest

Answers

Answer: 60 cubic units is the volume

Step-by-step explanation: multiply the base area and the height. The base area is 4 cubes and 3 cubes so equals 12 . Then the height is 5 cubes so multiply equals 60 but I am sorry I only know the volume

Answer: all answers down below ⬇️

Step-by-step explanation:

What is the volume of the prism?

The volume is 56

Explain how you found the volume. You may show your explanation.

I added by 5s until i got 50 units and then there were only six more

What would be the dimensions of a new right rectangular prism that has 20 fewer unit cubes than the original prism?

Well if that happend the volume would be 36 if I’m right

Explain how you determined the dimensions of the new right rectangular prism.

add by 5s then 4s

Maya's math teacher said that each question answered correctly on a test would be worth 5 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.

Answers

Where is the questions?

Trying to finish khan academy. I need to simplify. How do I do it?

Answers

Answer:

-5+5k-8k-20

-3k-25

-(3k+25)

Answer:

Step-by-step explanation:

(-5 - -25k) - (8k + 20) =

-(18k - 15)

find the measures of m and n

Answers

Answer:

m=3 n=6

Step-by-step explanation:

top diagonals are congruent

9 = 3m

solve for m

m = 3

bottom diagonals are congruent

m + 8 = 2n -1

plug in 3 for m

3 + 8 = 2n -1

solve for n

11 +1 = 2n

12 = 2n

n=6

What is the slope of a line that goes through the points (3, 7) and (8, 11)

Question 4 options:

117

54

−83

45

Answers

Answer:

[tex]\sf \dfrac{4}{5}[/tex]

Step-by-step explanation:

(3,7) ⇒ x₁ = 3 & y₁ = 7

(8 ,11) ⇒ x₂ = 8 & y₂= 11

Slope

[tex]\boxed{Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{11 -7}{8 -3}\\\\\\ = \dfrac{4}{5}[/tex]

Find the surface area of the ball
shown. Use 3.14 for a.
Radius is 16 cm

Answers

Ball is sphere

r=16cm

SurfAce area:-

4πr^24π(16)^24π(256)1024πcm^23215.36cm^2

Answer:

Formula

Surface area of a sphere:

[tex]\sf SA=4\pi r^2[/tex]  (where r is the radius)

Given information

[tex]\pi[/tex] = 3.14

r = 16

Final solution

Substitute given values into the equation and solve:

[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]

            [tex]\sf =3215.36 \ cm^2[/tex]

Which is a factor of both terms of the expression 6f−12?


Answers

Answer:

6(f-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you solve the highest common  factor first, then you can look for other factors.

Solution

6 = 2 * 3

12 = 2*2*3

The highest common factor is one 2 and one 3 making 6.

Use the distributive property to show what the 2 factors look like when the common factor is taken out.

6( f - 2)

Other factors.

You could take out just 1 factor like 2 or 3

2(3f - 6)

3(2f - 4)

Answer

I would submit 6(f - 2)

Which of the following are identities? Check all that apply.
A. sin(x+y)+ sin(x - y) = 2cos x siny
B. cos(x + y) + cos(x- y) = 2cos x cosy
C. tan(x - 2) = tan x
D. COS(x + y) - cos(x - y) = 2 cos xcosy

Answers

Answer:

B. cos(x+y) + cos(x-y)= 2cosx.cosy

Step-by-step explanation:

cos(x+y) + cos(x-y)

= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny

=cosx.cosy + cosx.cosy

=2cosx.cosy

Yvette paid $921 for tires for her car. She got special financing with a 0% interest rate if she paid off the tires in 6 months. How much will she have to pay each month in order to pay off the tires before she will have to pay interest?
a
$183.50
b
$153.50
c
$76.75
d
$92.10

Answers

Answer: B

Step-by-step explanation:

In 6 months she will have to pay $921

In 1 month she has to pay [tex]\frac{921}{6}[/tex] = $153.50

Each month, Yvette has to pay $153.50 in order to pay off the tires before she will have to pay interest

Therefore, B is the correct answer

You’re answer is B . $153.50 dollars a month because $921 divided by 6 months is $153.50 and there’s 0% interest rate so it don’t change the problem at all it’s still going to be B . $153.50

One pound of nuts costs $2.80. Aaron bought 2 pounds of nuts. He gave the clerk a $10.00 bill. How much change did he get?
Group of answer choices

A.$8.20

B.$7.20

C.$4.20

D.$4.40

Answers

The answer would be D.
2.80+2.80=5.6
10-5.6=$4.40

One pound of nuts cost $2.80 -> 2 pounds cost $2.80 x 2 = $5.60

We can find the amount of change he got : $10.00 - $5.60 = $4.40

Answer : D

You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?

Answers

Answer:

15 points

Step-by-step explanation:

12 divied by .25 =3

so there for it would be 15 points

Answer:

The answer is 15 points. Have a great day:)

how do you slove this question i know the answer but don't know how to get it ;A quart of milk costs $0.35. A case of 12 quarts cost $4.08. How much is saved per quart buying the case?

Answers

Answer:

$0.01 or 1 cent.

Step-by-step explanation:

Case: 12 quarts = $4.08

1 quart for case= $0.34

A quart normal= $0.35

0.35-0.34=$0.01

A frog starts jumping from the middle of a circular pond.
The pond is 12 metres across, from one side to the other.
43
The frog always jumps half the distance left to the edge of the pond.
How far is the frog from the edge after 3 jumps?

Answers

Answer:

Step-by-step explanation:

Remark

You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.

Jump One

The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.

He lands 3 meters (1/2 the distance) from the edge.

Jump Two

He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.

Jump Three

The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.

Answer: 3/4 of a meter from the edge.

Solve:
n x 3.6 when n = 0.72

Answers

You would substitute the N and multiply. 0.72 x 3.6= 2.592

Answer:

Substitute n to that 0.72 and multiply it from 3.6

answer would be 2.592

Step-by-step explanation:

If –3x + y = -7 is a true equation, what would be the value of -3x + y - 2?

Answers

Answer:

-9

Step-by-step explanation:

-3x+y=-7

-3x+y-2

-7-2=-9

What is 8 1/3 - 3 1/2?

Answers

29/6 = 4 5/6 simplified

Answer:

4 5/6

Step-by-step explanation:

Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).

8 1/3 = 25/3

3 1/2 = 7/2

Then, try and make the denominators the same by finding the LCD (least common denominator).

The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).

[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]

[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]

So, then subtract (50/6 - 21/6).

50/6 - 21/6

= 29/6 = 4 5/6

So, 8 1/3 - 3 1/2 is 4 5/6.

HELPP PLEASE!!!! I have a screenshot of the question because I cant copy and paste it!

Answers

2³+3²-3×4-5²÷5+(7×4)

= 8+9-3×4-25÷5+7×4

=8+9-12-5+28

=28

HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.36

Step-by-step explanation:

0.67 - 0.31 = B

B = 0.36

I hope this helps!

X - y = -2 7x + 2y = -5

Élimination method

Answers

Answer:

x = -1, y = 1

Step-by-step explanation:

Multiply the top equation by 2:

[tex]2x - 2y = - 4[/tex]

Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:

[tex]9x = - 9[/tex]

Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.

[tex]x = - 1[/tex]

[tex]7( - 1) + 2y = - 5[/tex]

[tex] - 7 + 2y = - 5[/tex]

[tex]2y = 2[/tex]

[tex]y = 1[/tex]

Consider the first six terms of this sequence: 3,6,12,24,48,96,.......... What would be the sum of the first 19 terms of this sequence? *
393,216
786,429
1,572,861
1,162,261,467​

Answers

Answer:

1,572,861 is the answer please

Find the area of each.

Answers

Answer:

Hope the pictures will help you..

(- 18) × (- 5) × (- 4) =

Answers

Answer:

−360

Step-by-step explanation:

Select all true statements about the following parallelogram

Answers

Answer:

it is B.

Step-by-step explanation:

dfghfgrhbfdhgbhgbf

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

A.

Mean-103.0625

Median- 8, 9

Mode- 8, 1

B.

They should use the shoe size 6, because it has the most women waering it.

Your Welcome!

Step-by-step explanation:

Mean:-

5+5.5+6+6.5+7+7.5+8+8.5/854/86.9

Median:-

Total terms 8

Median =n/2th term +(n/2+1)th term

Median=6.5 and 7

Mode:-

No modes

Find the volume of a cone with a base diameter of 10 m and a height of 8 m. Write the exact volume in terms of , and be sure to include the correct unit in your answer. ​

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT

Is –12,365 − –110 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

This is the same as saying -12,365 + 110

This equals -12,265

Hope that helps!

Answer:

Same sign - Positive

Different sign - Negative

only for some maths

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