1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hjlf
3 years ago
5

Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles

: centering, concentration, control, precision, flow, and breathing. An article reported on an experiment involving 84 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.3.
a. Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of .01 (the cited article reported statistical significance at this α, and a sample mean difference of 2.1 also suggests practical significance).
b. Does it appear that true average pain level for the control condition exceeds that for the treatment condition by more than 1? Carry out a test of appropriate hypotheses.
Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

a) We reject H₀     We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference  ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size     n₁  =  42

Sample mean   x₁  =  3,2

Sample standard deviation  s₁  =  2,3

Group 2: With exercises with the treatment of individuals

Sample size    n₂   =  42

Sample mean    x₂  = 5,2  

Sample standard deviation   s₂  = 2,3

Test Hypothesis

Null Hypothesis                     H₀           x₂  -  x₁  = 0  or    x₁  =  x₂

Alternative Hypothesis         Hₐ           x₂  -  x ₁ > 0  or    x₂  >  x₁

Significance level  α  = 0,01

Sample sizes are n₁  =  n₂  >  30

We use z-test

for α  = 0,01     z(c)  ≈  2,32

To calculate z(s)

z(s)  =  (  x₂  -  x₁ ) / √ (2,3)²/42  + (2,3)²/42

z(s)  = ( 5,2  -  3,2 )/ √0,2519

z(s)  =  2 / 0,5

z(s) = 4

Comparing  z(s)  and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) =  x₂ - x₁ / 0,5

z(s) =  1 /0,5

z(s) = 2

Comparing z(s) and z(c)  now

z(s) < z(c)        2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀  equivalent to say that the two groups statistical have the same mean

You might be interested in
Which expression is a perfect cube?<br> -8^21y^8<br> -64x^64y^64<br> -125x^9y^20<br> -126x^9y^18
yanalaym [24]
Hello,
Please, see the attached file.
Thanks.

6 0
2 years ago
Find the other endpoint of the line segment with the given endpoint and midpoint.
Shtirlitz [24]

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is (\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2}  }{2} )

So, let (x_{2} , y_{2} ) be the coordinates of the endpoint you are looking for.

x_{1} = -9  and y_{1}  = 7

(\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} ) = (10, -3)

\frac{-9 + x_{2} }{2}  = 10           \frac{7 + y_{2} }{2}  = -3

-9 + x_{2} = 20         7 + y_{2}  = -6

x_{2}  =  29                    y_{2}  = -13

endpoint is (29, -13)

6 0
3 years ago
Find the value of x: 7e(×/3)=14
velikii [3]
<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
6 0
2 years ago
Help please look below
Gwar [14]
A is located, as you look A is past -2 almost hitting -3 making the mark 2.8 so the answer is A
3 0
2 years ago
PLEASE HELP WITH QUESTION THANK U
Darya [45]
What question I didn't get it
6 0
2 years ago
Other questions:
  • How many 5 mm square tiles do I need to cover an area of 930 cm square? The answer is 3720 tiles. How do you get that answer?
    5·1 answer
  • Can someone help me with #1.
    6·1 answer
  • A printer makes more than 3 copies of a book every hour which graph represents the number of books made in 4 hours
    15·1 answer
  • The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
    11·1 answer
  • A Community hall is in the shape of a cuboid. Work out the paint cost, tiles cost and total cost.
    13·1 answer
  • if a cone and a cylinder have the same radius and the perpendicular height of the cone is twice that of a cylinder find the rati
    15·2 answers
  • Find the midpoint between points F(-5, -18) and K(15,8).
    8·2 answers
  • I need help on this if anyone can help
    11·1 answer
  • Please anyone help I’ll Venmo you 5 dollars not joking at all I swear please help!!
    15·2 answers
  • Five times a number that has been decreased by 2 is equal to 55
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!