The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the 0.05 significance level that the tre atment means are equal.
a) state the null and the alternate hypotheses
b) What is the decision rulec).
c) Compute SST, SSE, and SS total
d) Complete an ANOVA table
e) State your decision regarding the null hypothesis
Treatment 1
9, 7, 11, 9, 12, 10
Treatment 2
13, 20, 14, 13
Treatment 3
10, 9, 15, 14, 15

Answer:

Since the calculated value of F=0.20  does not fall in the critical region

F ≥  = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

Step-by-step explanation:

As the sample size are different we can run anova in the excel.

Part a)

The null and alternate hypotheses are

H0: μ1=μ2=μ 3  against the claim Ha: Not all three means are equal

The significance level ∝ is chosen to be 0.05

Part b)

The critical region is F≥ F(0.05,5,9) = 3.481

Part c) SST, SSE, and SS total

SS total= 144.933

SSE= 129.8333

SST= 15.1

A nova: Single Factor    

SUMMARY      

Groups Count Sum Average    Variance  

Column 1 3 32          10.67            4.33

Column 2 3 36          12               49  

Column 3 3 40        13.33     4.33

Column 4 3 36        12               7  

Column 5 2 25       12.5               0.5  

Column 6 1 10         10             ----------

The missing value in the variance column does not account for because the excel uses the mean to perform analysis.      

Part d)      

A NOVA Table    

Source              SS df MS               F P-value F crit

Of Variation

Between Groups       15.1   5 3.02 0.20        0.95        3.482

Within Groups  129.833   9 14.43                                          

Total       144.93 14                                                          

Part e)

Since the calculated value of F=0.20  does not fall in the critical region

F ≥  = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

For this exercise it is necessary to use knowledge of statistical, in this way

A) [tex]0,05[/tex]

B) [tex]3.481[/tex]

C)[tex]144.933\\129.8333\\15.1[/tex]

D) Do a new table

E)[tex]\geq 3.481[/tex]

As the sample size are different we can run anova in the excel:

A)The null and alternate hypotheses are [tex]H_0: \mu_1=\mu_2=\mu_3[/tex]  against the claim Ha: Not all three means are equal The significance level ∝ is chosen to be 0.05.  

B)The critical region is [tex]F\geq F(0.05,5,9) = 3.481[/tex]

C) SS total= [tex]144.933[/tex]

SSE= [tex]129.8333[/tex]

SST= [tex]15.1[/tex]

A nova: Single Factor    

[tex]Groups\\C1\\C2\\C3\\C4\\C5\\C6[/tex]     [tex]Count\\3\\3\\3\\3\\2\\1[/tex]     [tex]Sum\\32\\36\\40\\36\\25\\10[/tex]    [tex]Avarage\\10.67\\12\\13.33\\12\\12.5\\10[/tex]     [tex]Variance\\4.33\\4.9\\4.33\\7\\0.5\\0[/tex]

The missing value in the variance column does not account for because the excel uses the mean to perform analysis.      

D) New Table    

[tex]Source\\Between\\Within \\Total[/tex]   [tex]SS df MS\\15.15\\129.833\\144.93[/tex]  [tex]FP-value\\3.02\\14.43\\145[/tex]    

E) Since the calculated value of F=0.20  does not fall in the critical region [tex]F \geq = 3.481[/tex] we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

See more about statistical at : brainly.com/question/15692038

What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11

A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....

The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week

Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm

Need help like Right now

The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)

Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?

Use what you know about triangles to classify this triangle.

a triangle with three equal angles and three equal sides
Question 1 options:

Acute isosceles triangle

Obtuse scalene triangle

Equiangular triangle

Obtuse isosceles triangle

URGENT PLZ HELP

use the graph to write an equation of the line

A line that includes the point (1,8) has a gradient of 2. What is its equation in
gradient-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
ere to search
O
acer​

What is the product of 3/4 multiplied by x = 1/2?

Please dont do a file or link, just the straight up answer, thanks.

A class survey provides the data shown.

1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11

Which box plot represents the class?

(HElP) which answers describe the shape below?

Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?

Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.

Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP

1. Nasir borrowed $420 for six months with $77 monthly payments.

How much interest will he pay on this loan?

$77

$57

$52

$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.

What will he pay in interest?

$103.16

$105.80

$122.40

$135.50

A shoe store uses a 60​% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​51
$​?

The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.

Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?

Part B: Explain what the solution from Part A means in the context of the problem.

P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.

slope of a line that goes through points (-8,0) and (0,6)

A triangle has base 4 cm
and height 9 cm, What is its
area​

Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?

For every 1000 videos it makes £2 from ad revenue.
How many videos are required to make £25

5x - 2y = 15
2x + 4y = 12

Select the solution to the system from the options below:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

Which choice is equivalent to the expression below?
(-4)-5

10
1 point
Solve the system of linear equations. Check your solution.
2x+y = 3
X-y= 3
Solution type your answer...
type your answer...

If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.

A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?