A physical education teacher wanted to know the effects of various activity levels on body composition. She surveyed her physical education classes and categorized 30 students into five activity levels based on the amount of daily exercise in which the students participated: inactive, semiactive, normal, active, and very active. She measured percent body fat values using skinfold calipers on all subjects with the following results.

Inactive Semiactive Normal Active Very Active
30.2 29.4 22.9 17.6 10.9
29.6 17.6 25.4 13.4 13.7
35.2 26.4 19.6 20.3 12.8
19.1 25.3 18.7 19.6 14.7
26.3 22.5 21.8 15.1 9.3
22.4 28.6 24.9 10.7 12.7

Required:
a. What is the independent variable in this study? What is the dependent variable?
b. What are the means and standard deviations for each group?
c. Does a significant difference exist among any of the groups?

Answers

Answer 1

Answer:

a. The independent variable is the activity level

The dependent variable is the body composition (the percentage of body fat in the values)

b. The mean and standard deviation are;

(Mean, Standard deviation)

Inactive(27.13, 5.8), Semiactive(24.97, 4.367), Normal(22.217, 2.73), Active(16.12, 3.73),  Very Active (12.35, 1.95)

c. Yes

Between Semiactive and Active, Semiactive and Very Active, Normal and Very Active, Normal and Active, Active and Inactive, and Inactive and Very Active

Step-by-step explanation:

a. The independent variable is the activity level

The dependent variable is the body composition (the percentage of body fat in the values)

b. The given data are presented as follows;

Inactive [tex]{}[/tex]  Semiactive   Normal  Active   Very Active

30.2  [tex]{}[/tex]      29.4               22.9       17.6       10.9

29.6 [tex]{}[/tex]       17.6                25.4        13.4      13.7

35.2   [tex]{}[/tex]     26.4               19.6         20.3     12.8

19.1   [tex]{}[/tex]       25.3               18.7          19.6      14.7

26.3 [tex]{}[/tex]       22.5               21.8          15.1       9.3

22.4   [tex]{}[/tex]     28.6               24.9         10.7       12.7

Bymaking use of Microsoft Excel, we have;

                                  Inactive [tex]{}[/tex]  Semiactive   Normal    Active   Very Active

Mean                           27.13  [tex]{}[/tex]      24.97            22.217       16.12       12.35

Standard Deviation     5.8 [tex]{}[/tex]  [tex]{}[/tex]       4.367              2.73         3.73         1.95

c. Yes

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2}) }{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The degrees of freedom = n - 1 = 6 - 1 = 5

The critical t = 2.5706

Therefore, we have;

The test statistic for Inactive and semi active ≈ 0.72875

The test statistic for Semiactive Normal ≈ 1.309

The test statistic for Inactive and Normal ≈ 1.8773

The test statistic for Semiactive and Active ≈ 3.775 (Significant)

The test statistic for Semiactive and Very Active ≈ 6.464  (Significant)

The test statistic for Normal and Very Active ≈ 7.204  (Significant)

The test statistic for Normal and Active ≈ 3.231  (Significant)

The test statistic for Active and Inactive ≈ 3.91  (Significant)

The test statistic for Active and Very Active ≈ 2.194

The test statistic for Inactive and Very Active ≈ 5.92  (Significant)

Where the test statistic is larger than the critical 't' the statistic is significant


Related Questions

i need help. i don't understand ​

Answers

Answer:

The 20-count batteries have a lower unit price of $0.76 per battery

Step-by-step explanation:

Unit price means how much does it cost if you buy one of the item. To calculate this take the amount of money it cost and divide by the amount of object you have.

In the case of this question we know that you can buy 8 batteries for $6.16 and 20 batteries for $15.20. Let's find the unit cost (how much for one battery) for each of these packs. To calculate that we can take $6.16/8 batteries = $0.77 per battery for the 8 pack and $15.20/20 = $0.76 per battery for the 20 pack. Therefore, the 20-count batteries have a lower unit price of $0.76 per battery.

Helppppppp show your work

Answers

Answer:

No solution

Step-by-step explanation:

x+5x+4=3(2x-1)

First off, rearrange:

6x+4=6x-3

The '6x's cancel out (4=-3, incorrect), which means the equation has no solution.

HURRY PLEASE!! I WILL GIVE BRAINLIEST

Answers

Answer:

1/64

Step-by-step explanation:

1/64=(1/8)^2

1/64=(1/4)^3

Answer:

25

Step-by-step explanation:

Two quantities are proportional if they vary and have a constant ratio or unit rate.
O True
O False
Please only answer if you know the answer

Answers

i think true but i could be so wrong

Question 10
The graph of a function includes the points (4, 5) and (21, 39).
What is the rate of change of the function?
A
2
B
34
с
17
D
0.5

Answers

Answer:

Step-by-step explanation:

The rate of change, slope, m is

m=(y2-y1)/(x2-x1), we have points (4,5) and (21,39) so

m=(39-5)/(21-4)

m=34/17

m=2

So the rate of change is 2

WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!

Answers

A. 90°

yeah yeah dababy car dababy

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3

Answers

Graph 1 and 3 have the same domain

Answer:

B

Step-by-step explanation:

The sum of - 6a and 7a is - 31

Answers

Answer:

a = -31

Step-by-step explanation:

According to the question,

-6a + 7a = -31

a = -31

Find the equation containing the points (-1,1) and (4,-9)

A
y = 2x + 1
B
y = -2x - 3
C
y = 2x -3
D
y = -2x -1
Plz help

Answers

Answer:

D)

Step-by-step explanation:

Substitute it into equation, for (-1,1): -2*(-1) - 1 = 2 -1 = 1, and -2*4 - 1 = - 8 -1 = -9, so D) is correct.

If you find it is helpful plz give Brainliest

Is ABC ~ DEF? If so, identify the similarity postulate or theorem that applies

Answers

Answer:

C) similar   AA

Step-by-step explanation:

Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?

Answers

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

Trevor wants a life insurance policy with a cash feature and one he can change the death benefits of without having to get a new policy. What type of policy best fits this scenario

Answers

Answer:

un death somthing

Step-by-step explanation:

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

if I multiply or divide by a negative number I must reverse the inequality sign.
true or false

Answers

Answer:

True

Step-by-step explanation:

pls help me !!! i need help asap

Answers

i'm almost positive it's d!!

For the figure below, give the following.
(a) one pair of angles that form a linear pair
(b) one pair of vertical angles
(c) one pair of angles that are supplementary

Answers

Answer:

hope it helps you

have a great day!!

The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Larger number:
0
Smaller number: 0
Х
5
?
Exp
Recheck
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O
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers

Answers

Your numbers are 11 and 32

We know that:
a + b = 44
and
a = 3b

If we substitute “3b” in for a in the first equation, we get a numerical value for b

3b + b = 44
4b = 44
b = 11

Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33

SA = 2tr2 + 2trh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.​

Answers

Answer:

[tex]SA=61.26\ \text{inches}^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where

r is radius and h is height of the cylinder

We have, h = 5 inches and r = 3/2 = 1.5 inches

Put all the respected values.

[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]

So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].

Answer:

Answer: 61.23 / {I'm right trust me Acellus 2022}

Step-by-step explanation:

how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches

Find the value of X in the equation below:
X/9 = 3.9

Answers

Answer:

35.1

Step-by-step explanation:

We can multiply both sides by 9 to get x=35.1

Step-by-step explanation:

x/9=3.9

x=3.9*9

x=35.1

The hypotenuse of a triangle measures 20.75 in., and one of the legs measures 17 in, what is the approximate length of the other leg of the triangle?

Answers

11.9 inches to 1 decimal place

What does X and Y equal?

Answers

Answer:

X= 67

Y= 6

Step-by-step explanation:

Triangle TRU is an equilateral triangle which means all sides are equal.

Triangles sum up to 180°.

180/3= 60

60+7= 67

x=67

Triangle TRS is an isosceles triangle which means it has two equal sides.

Triangles sum up to 180°.

180-60= 120

TRS= 120°

60/2= 30°

RTS=  30°

RST=  30°

30/5= 6

y= 6

The question above...

Answers

Answer:

Supplementary Angles

Step-by-step explanation:

Two (or more) angles whose

sum is 180°

You allowed to eat 11 bananas and you have already eaten 4. Find the possible amount of bananas you can eat today

Answers

Answer:

7

Step-by-step explanation:

11-4=7

11

-

 4

____

7

So 1-4 you cant do so you to the left number which is 1 take it back and now it is 11-4 you add 10 so then the left number you cant use anymore so then its 11-4 which is 7.

Jack has 1 3/5 cups of yogurt to make smoothies. Each smoothie uses 2/5 How many smoothies can Jack make with the yogurt?

Answers

Answer:

Step-by-step explanation:

(1 3/5)/(2/5)

(8/5)/(2/5)

(8/5)(5/2)

40/10

4

1 3/5 = 8/5
2/5x4 =8/5
It is 4 cups

Decide if the expression is positive or negative. Explain in words how you know, please.


11/-3 and -11/-3

Answers

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

What is the measure of A.70
B.20
C.110
D.140

Answers

Answer:

complementary angles sum to 90° 90° - 70° = 20° complementary of 70° is 20°

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

which expression is another way to write the expression shown here
5a+ 5b+ 5c+ 5d
5abcd
5a+bcd
5(a+b+c+d
(5a)(5b)(5c)(5d)

Answers

Answer:

5(a+b+c+d)

Step-by-step explanation:

this is correct another way of writing this expression

because 5 is common to all and we can put it out

hope it helps

A total of P60,000 was invested, a portion at 5% and the remainder at 4.5%. The total amount of interest earned was P2,900. How much was invested at each rate?

Answers

Answer:

P40000 at 5%

P20000 at 4.5%

I am curious as to what the P stands for.  Can you tell me?

Step-by-step explanation:

Let x = amt. invested at 5%

     y = amt. invested at 4.5%

(1)         x + y = 60000                  (2)      .05x + .045y = 2900

                                                                   50x + 45y = 2900000

                                     -45 times (1)        -45x - 45y = -2700000

                                                                    5x = 200000

                                                                      x = 40000

          40000 + y = 60000

                        y = 20000

P40000 at 5%

P20000 at 4.5%

I am curious as to what the P stands for.  Can you tell me?

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