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
Brums [2.3K]
3 years ago
15

An article reported on the results of an experiment in which half of the individuals in a group of 60 postmenopausal overweight

women were randomly assigned to a particular vegan diet, and the other half received a diet based on National Cholesterol Education Program guidelines. The sample mean decrease in body weight for those on the vegan diet was 5.7 kg, and the sample SD was 3.1, whereas for those on the control diet, the sample mean weight loss and standard deviation were 3.9 and 2.7, respectively. Does it appear that the true average weight loss for the vegan diet exceeds that for the control diet by more than 1 kg
Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

Step-by-step explanation:

From the given information:

Let's first compute the null and alternative hypothesis

Null hypothesis:

\mathbf{H_o: \mu_1-\mu_2=1}

Alternative hypothesis:

H_a :\mu_1 -\mu_2 > 1

The number of samples is half in a group of 60

i.e

n_1=n_2 = 30

the sample mean for sample 1 \overline x_1 = 5.7

the standard deviation for sample 1 s_1 = 3.1

the sample mean for sample 2 \overline x_2 = 3.9

the standard  deviation for sample 2 s_2 = 2.7

degree of freedom  for this test can be computed by using the formula:

df = \dfrac{\begin {pmatrix} \dfrac{s_1^2}{n_1} + \dfrac{s^2_2}{n_2}   \end {pmatrix}^2  }  {\dfrac{ (\dfrac{s_1^2}{n_1}^2)}{ n_1-1}  + \dfrac{ (\dfrac{s_2^2}{n_2}^2)}{ n_2-1}  }

df = \dfrac{\begin {pmatrix} \dfrac{3.1^2}{30} + \dfrac{2.7^2}{30}   \end {pmatrix}^2  }  {\dfrac{ \begin {pmatrix} \dfrac{3.1^2}{30} \end {pmatrix}^2}{ 30-1}  + \dfrac{ \begin {pmatrix} \dfrac{2.7^2}{30} \end {pmatrix}^2}{ 30-1}  }}

df = 114.68

The test statistics can be computed as follows:

t = \dfrac{ \overline x_1 -\overline x_2- (\mu_1 -\mu_2)}{\sqrt{ \dfrac{s_1^2}{n_1} +\dfrac{s_2^2}{n_2} }}

t = \dfrac{ 5.7-3.9- (1)}{\sqrt{ \dfrac{3.1^2}{30} +\dfrac{2.7^2}{30} }}

t = 1.07

Using the level of significance of 0.1, the P-value for the test statistics at the df of 114.68 is:

P-value = 0.143

Decision rule: To reject the null hypothesis if the level of significance is greater than the p-value.

Conclusion: We fail to reject the null hypothesis because the p-value is greater than the level of significance at 0.1.

Thus, it appears that the true average weight loss for the vegan diet does not exceeds that for the control diet by more than 1 kg.

You might be interested in
There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.
klio [65]

Yeah... they should.

4 0
2 years ago
Is this equation linear: 2x+5xy-3=0
Lina20 [59]

What is linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

2x + 5xy - 3 = 0

x (2 + 5y) -3 = 0

x ( 2 + 5y ) = 3

2 + 5y = 3 / x

5y = (3/x) - 2

y = ( (3/x) - 2) / 5

According to the graph i don't think it's a linear equation.

3 0
3 years ago
At a convention for lawyers it was known that of the 100 present, at least one was honest, yet if you met any two of the lawyers
Temka [501]
From the given condition, there is only one honest lawyer present.
5 0
3 years ago
A server worked a shift where he served 13 entrees, 8 appetizers, and 6 desserts . What percentage of his servings were
ryzh [129]

Answer:

entrees 48% appetizers 30% desserts 22%

Step-by-step explanation:

18+8+6=27

13/27

8/27

6/27

6 0
3 years ago
Statement "if a and b are both positive integer numbers, then a +b > a
bezimeni [28]

Answer:

Always

Step-by-step explanation:

Subtracting a from both sides yields b>0, which is always true since b is a positive integer.

3 0
1 year ago
Other questions:
  • What's the question please
    10·2 answers
  • There are 575 gum balls in a gumball machine. If 40% of them is blue how many gumballs are there
    7·1 answer
  • Before leaving to visit Mexico, Levant traded 270 American Dollars and received 3,000 Mexican Pesos. When he returned from Mexic
    9·1 answer
  • Help!!!!!
    13·1 answer
  • When I multiply by 4, add 12, divide by 2, then square root, I get 10. What number did I start with?
    9·2 answers
  • Solve for a<br> y = ax2 + bx + c
    13·1 answer
  • Solve 3^x − 2 = 3^7<br><br> A. 2<br> B. 5<br> C. 7<br> D. 9
    15·1 answer
  • Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherri
    10·1 answer
  • Can someone please help!!
    10·1 answer
  • Which of the following scatter plots does not have a zero correlation?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!