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?
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
To assess the effectiveness of a kindergarten-readiness program, 15 children from a random sample were each given a diagnostic assessment before beginning the program and a follow-up assessment after completing the program. For each child, the difference in the score points between the two assessments was calculated and used to create the 95 percent confidence interval (20.1,23.9)(20.1,23.9).
Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval?
A) For all children in the program, 95 percent of the children will have a mean difference in scores of between 20.1 points and 23.9 points.
B) There is a 0.95 probability that the mean difference in scores for all children in the sample is between 20.1 points and 23.9 points.
C) There is a 0.95 probability that the mean difference in scores for the children in the program is between 20.1 points and 23.9 points.
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
E) We are 95 percent confident that the mean difference in scores for the children in the sample is between 20.1 points and 23.9 points.
Answer:
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95 percent confidence interval (20.1,23.9)
We are 95% sure that the population mean(that is, the mean for all children in the program) is in this interval. So the correct answer is given by option D.
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
If 40% of the voters who responded are over 40 years old how many voters responded it all
Please help meeeeeeee
Answer:
the answer is b..all the answer optioni get 0.01
what is the difference in length between the longest meteor and the shortest meteor
Answer:
Please show the full problem
Step-by-step explanation:
Answer:
If this is the same question the answer is 3 1/3
Step-by-step explanation:
what is the answer
1 x -2 +3
Answer:
The anwser is 1.
Step-by-step explanation:
A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast
Answer:
hello the options to your question is missing attached below are the options
answer : The number that had a boy and ate breakfast ( option 3 )
Step-by-step explanation:
The odds of having a boy if you eat breakfast is ; The number that had a boy and ate breakfast
This simply because the dependent variable is the Gender of the baby while the independent variable is Breakfast
QUICK!! NEED HELP ASAP!!!
Answer:
x to the 4th power+ 87x + 34
Step-by-step explanation:
5 feet. how many miles is that using the scale? 1 ft= 4 mile
Answer:
your answer I think would be 20 miles
A(3,0) B, (2,7) C(6,4)
What is the slope of line bc
Answer:
You go down 3 and right 4 to get from point B to point C
Step-by-step explanation:
-3/4
please help me i really need help please
Answer:i know the x for 1 not for the other 2
Step-by-step explanation:1 is 4
Answer:
17) x= 36
18)
Step-by-step explanation:
17) 2x + 2x + x =180°(angles of a triangle)
5x = 180°
divide both sides by 5
X = 36
18) 7x +3x + 90° = 180°(angles of a triangle)
10x = 90
X = 9
19) 2x + x + x = 180° (angles of a triangle)
4x = 180°
X = 45
hope it helps
Anyone know how to answer? need help asap
Which fraction in simplest from is equivalent to 4/6?
A. 1/3
B. 1/4
C. 2/3
D. 1/3
Answer:
C. 2/3
Step-by-step explanation:
To simplify 4/6 we need to divide 4 by 2 and 6 by 2.
4x²y+2xy² simplefid in algebra
Answer:
Difficulties regarding the emotions of your body.
Step-by-step explanation:
Difficulties regarding the emotions of your body.
What is the surface are of the box in square meters that Elizabeth decorates
Answer:
Step-by-step explanation:
What are the coordinates of the midpoint between the points (-1,4) and (2,-5)
Answer:
(1/2, -1/2)
Step-by-step explanation:
To find a midpoint add the two x's and divide by 2 so -1+2 / 2 = 1/2
add the two y's and divide by 2 so 4-5 / 2 = -1/2
Put the two numbers together as a coordinate (1/2, -1/2)
The diameter of a circle is 13 ft. Find the circumference to the nearest tenth.
Answer:
40
formula is pi × diameter
40.82
when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
Why were most peppered moths dark in the 1959 era but light in the 2000s?
Find the value of x on a kite
Answer:
When we combine like terms we get 158 plus 2x equals 360 subtract 158 from both sides. And we get 2x...
Step-by-step explanation:
I need help with this
Answer:
x=45
Step-by-step explanation:
This is a triangle so it interior degrees will add up to 180.
W
Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.
We can find OAC by using the triangle interior theorem,
[tex]45 + 90 + x = 180[/tex]
[tex]135 + x = 180[/tex]
[tex]x = 45[/tex]
Find the equivalent expression of 1/3
Answer:
..........
Step-by-step explanation:
1 = 1 × 2 = 2
3. 3×2. 6
If 3 out of every 5 dentist recommend sugarless gum to their patients who chew gum, how many would recommend sugarless gum if 100 dentist were polled
A)80
B)85
C)75
D)60
Answer: d 60 I think
Step-by-step explanation:
what is the mean will give brainlyest
whats 60 + 9........
Answer:
Its 69 just use your fingers
Step-by-step explanation:
4 -3x + 7 what is cofient
Answer: 3
Step-by-step explanation:
A coefficient is the number that comes before a variable, so the three is before the x so 3 is the coefficient.
This net folds into a cube. Which two letters appear on opposite faces?
Answer:
Three answers B and D, A and C, F and E
I'm not very sure how to explain this.
Help me answer my homework questions!
Answer:
Page 1: D
Page 2: A
Page 3: D
dad lol