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
Ber [7]
2 years ago
5

8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain betwe

en controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
7 0

Answer:

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

   

                            Mean    Standard Deviation Sample Size

Never

Played Football 7602.5          1074                   25

FB with no History   6459.2         779.9                  25

<u>FB with Concussion 5734.6       593.4                   25 </u>

<u>Total                 6598.8      1133.5                  75 </u>

<u />

Anova: Two-Factor Without Replication    

   

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

   

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

<u>ANOVA Table </u>  

Source           Sum of     Degrees     Mean

of Variation      Square    of freedom  Squares

<u>                             SS     df          MS              F P-value </u>

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col      50164633.5 1 50164633.5 205.0819  0.00484

<u>Error     489215.59         2 244607.795                           </u>

Total 52055794.79 5    

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's  a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/  estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations /  estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2)  and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51  for 0.05 significance level

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

You might be interested in
Janet has $120. If she saves$20 per week, in how many days will she have $500?
maxonik [38]
She will have $500 in 5 days because when she takes out the 20 every week she will have had $100 so to make $500 she will have to have made 5 $100
8 0
3 years ago
Tysm 30 points!! pls answer correctly
ira [324]
The answer is 4 pensioners
5 0
2 years ago
Read 2 more answers
What is 0.8^2 3.15 please i need the answer by tonight
Anettt [7]

Answer:

2.016

Step-by-step explanation:

In your equasion, I couldn't tell if you need to multipy 0.8^2 by 3.15 or are you asking something else? If you want to multiply, the answer is 2.016.

3 0
3 years ago
What is the solution to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44 (–18, 29) (–2, 13) (8, –1) (15, –44)
beks73 [17]

Answer:

(-2,13)

I believe this is the answer.

8 0
3 years ago
Read 2 more answers
QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
ivann1987 [24]

The required solution is ∠RQT =  202°  and ∠QTS = 51°

<h3 />

<h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that  ∠RQT =  202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral =  180°  

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS  + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT =  202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

#SPJ1

5 0
2 years ago
Other questions:
  • In a if P is equals to 3 cm BD is equal to 3.9 CM PQ is equals to 3.6 cm and q f is equals to 2.4 CM state PQ is parallel to EF​
    9·1 answer
  • Solve for x<br> 10x-2(x+4)=8(x-2)+6
    8·1 answer
  • The sum of the measures of the interior angles of the parallelogram is 360°. Write and solve an equation to find the value of th
    14·1 answer
  • Area of the triangle is 124 square inches, what are the base and height
    5·1 answer
  • A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in. The prism is filled with cubes that have ed
    7·1 answer
  • The volume of a cubical box is 474.552m3.Find the length of each side of the box
    7·1 answer
  • A 2-column table with 4 rows titled Drama Club Revenue. Column 1 has entries a percent, a percent, a percent, a percent. Column
    12·2 answers
  • Expand 3(n+6)<br> This for the test
    12·1 answer
  • I have attached the picture
    7·1 answer
  • In a different plan for area​ codes, the first digit could be any number from 4 through​ 8, the second digit was either 0, 1, or
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!