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

Answers

Answer 1

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.

Answer 2

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


Related Questions

Use what you know about triangles to classify this triangle.

a triangle with three equal angles and three equal sides
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Acute isosceles triangle

Obtuse scalene triangle

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Obtuse isosceles triangle

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Answer: C equilateral triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test :)

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Square and quadrilateral!

I think it would be A, B, D and E.

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?

Answers

Answer:

3 cups of sparkling water

Step-by-step explanation:

So the ratio is 2:4=?:6

Setting them equal to each other, you'll divide 6 by 4

You get 1.5, then multiply 2 by 1.5 to get 3

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

Answer:

Y=2x+4

Step-by-step explanation:

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subtract 2x so you get -y=-2x-4. Then divide everything by-1 .

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1 point
Solve the system of linear equations. Check your solution.
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X-y= 3
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Answers

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x + y = 3

x  -   y  = 3

Adding the 2 equations eliminates y:

3x = 6

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Checks OK.

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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?

Answers

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

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If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.


Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
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Answers

Answer:54.9

Step-by-step explanation:

Need help like Right now

Answers

x-int = -2
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P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.

Answers

Answer:

P

[tex] \alpha [/tex]

1/q²

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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?

Answers

$1,200
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For every 1000 videos it makes £2 from ad revenue.
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Answers

Step-by-step explanation:

If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!

(the answer would be 12,500)

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Answers

Answer:

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Answers

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Answers

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Answers

Answer:

100x + 13000y = 865000

Step-by-step explanation:

x = Series A price

y = Series B price

A line that includes the point (1,8) has a gradient of 2. What is its equation in
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Answers

Answer:

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Answers

Answer:

[tex]y - y_1 = m(x - x_1)[/tex]

Step-by-step explanation:

Given

A to D

Required

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Answers

Answer = 18
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Answer:

18 cm^2

Step-by-step explanation:

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Answers

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

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-----------------

12x = 42

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Answers

Answer:

3/4

Step-by-step explanation:

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Answers

I think it’s 10,21 and 40, in that order. Sorry if I’m wrong:(

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.

Answers

6,000 I think I suck at math

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?

Answers

1.445556677788911 x 10’13

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

Answers

Answer: 52 and 793.25

Step-by-step explanation:

Answer:

1: 52

2: 105.80

Step-by-step explanation:

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.

Answers

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

Answer:

They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.

Step-by-step explanation:

That’s what i put

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

Answers

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

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
$​?

Answers

Answer:

33.33 percent

Step-by-step explanation:

$88

Step-by-step explanation:

55 increase 60%=

55x(1+60%)=55x(1+0.6)=88

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

Answers

Answer:

B) between 8 and 24 hours per week

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 16, standard deviation of 4.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.

Within 2 standard deviations of the mean, so:

16 - 4*2 = 16 - 8 = 8 hours per week.

16 + 4*2 = 16 + 8 = 24 hours per week.

This means that the correcgt answer is given by option B.

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

Answers

The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

How to determine the location of the point?

The points are given as:

A = 2

B = 17

Point = 3/5

The location of the point is then calculated as:

Point = A + 3/5(B - A)

So, we have:

Point = 2 + 3/5(17 - 2)

Evaluate the product

Point = 2 + 9

Evaluate the sum

Point = 11

Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

Read more about number lines at:

https://brainly.com/question/4727909

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