Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
Use {Exercise 13.07} Three different methods for assem = .05 to test for any significant difference in the means for the three assembly methods.
Calculate the value of the test statistic (to 2 decimals).
The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11
What is your conclusion?
SelectConclude not all means of the three assembly methods are equalCannot reject the assumption that the means of all three assembly methods are equal
Item 12are my calculations correct?

Answers

Answer 1

Given :

Number of methods, k = 3

Number of the observations, n = 30

Degrees of freedom Treatment = k - 1

                                                     = 3 - 1 = 2

Degrees of freedom for error = n - k

                                                 = 30 - 3 = 27

[tex]$SSTR = 4560, \ SST = 10800$[/tex]

[tex]$SSE = SST - SSTR$[/tex]

       = 10800 - 4560

       = 6240

[tex]$SSE_{treatment} = MS_{treatment } \times DF_{treatment}$[/tex]

[tex]$MS_{treatment} = \frac{4560}{2}=2280$[/tex]

[tex]$MS_{error}=\frac{SSE_{error}}{DF_{error}}$[/tex]

             [tex]$=\frac{6240}{27}=231.1$[/tex]

[tex]$F=\frac{MS_{treatment}}{MS_{error}}$[/tex]

  [tex]$=\frac{2280}{231.1}=9.865$[/tex]

Source variation   Sum of square  Degrees of freedom  Mean square     F

Treatment                   4560                          2                         2280       9.8653

Error                            6240                         27                   231.11111111

Total                            10800

The critical value of F for the 0.05 sig level and df (227) is 3.354

Since the test stat > critical value of F, so we reject null hypothesis and state that there is a significant difference in the means of the three assembly methods.


Related Questions

NOT TOO HARD NEED HELP

Answers

Answer:

perimeter = 12x+10 area=8x^2+14x+6

Step-by-step explanation:

A

2x+2+2x+2+4x+3+4x+3

2x+2x+4x+4x+2+2+3+3

4x+4x+4x+2+2+3+3

8x+4x+2+2+3+3

12x+2+2+3+3

12x+4+3+3

12x+7+3

12x+10

B

(2x+2)(4x+3)

8x^2+8x+6x+6

8x^2+14x+6

Calculate if C=24
PLEASE HELP!!! ​

Answers

Answer:

-51

Step-by-step explanation:

24 / 8 - 6 - 48 =

3 - 6 - 48 =

-3 - 48 = -51

Hope that helps!

what is the rounded number of 305?​

Answers

Answer:310

Step-by-step explanation:

what are you rounding it to ?

What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72

Answers

What number must you add to x² + 16x = 3 to complete the square 64: Option C

What is a perfect square?

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

#SPJ1

4/k = 6/11
solve for k

Answers

Answer:

k=7.3

Step-by-step explanation:

6k=44

k= 44÷6

k=7.3

Solve for a.
−10 = 1/5 a
PLZ HELP I NEED ANSWER ASAP

Answers

Answer:

-50

Step-by-step explanation:

Answer:

a = -50

Step-by-step explanation:

-10 = 1/5a

multiply both sides of the equation by 5:

a = -50

Can someone help me plz

Answers

njjjwer:

jajajajaj

Step-by-step explanation:

yes

Considering only the values of [tex]\beta[/tex] for which [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex] is defined, which of the following expressions is equivalent to [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]?

a. [tex]\sec \beta \cot \beta[/tex]
b. [tex]\tan \beta[/tex]
c. [tex]\cot \beta \tan \beta[/tex]
d. [tex]\tan \beta \csc \beta \sec \beta[/tex]

Answers

[tex]\large\boxed{Answer:}[/tex]

We will use trigonometric identities to solve this. I will use θ (theta) for the angle.

First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.

We can replace cotθ in the expression with 1/tanθ.

[tex]sin\theta tan\theta sec\theta \frac{1}{tan\theta}[/tex]

Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1

So now, we have:

[tex]sin\theta sec\theta[/tex]

Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.

We can replace secθ with 1/cosθ in our expression.

[tex]sin\theta \frac{1}{cos\theta}[/tex]

Simplify:

[tex]\frac{sin\theta}{cos\theta}[/tex]

Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.

We can replace sinθ/cosθ with tanθ.

Now we have as our final answer:

[tex]\large\boxed{b.\ tan\theta}[/tex]

Hope this helps!

Answer:

[tex] \huge \boxed{ \boxed{ \red{b) \tan( \beta ) }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASgiven:[tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]tips and formulas:[tex] \tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) } [/tex][tex] \cot( \theta) = \dfrac{ \cos( \theta) }{ \sin( \theta) } [/tex][tex] \sec( \theta) = \dfrac{1}{ \cos( \theta) } [/tex]

let's solve:[tex] \sf rewrite \: \tan( \beta ) \: as \: \dfrac{ \sin( \beta ) }{ \cos( \beta ) } : \\\sin (\beta ) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \sec (\beta ) \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \sec( \beta ) \: as \: \dfrac{1 }{ \cos( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \cot( \beta ) \: as \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) }[/tex][tex] \sf \: cancel \: sin : \\\sin (\beta) \cdot\frac{ \cancel{\sin( \beta ) }}{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \cancel{\sin( \beta ) }} \\ \sin (\beta) \cdot\frac{ 1 }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \cos( \beta ) \\ [/tex][tex] \sf cancel \: cos : \\ \sin (\beta) \cdot\frac{ 1}{ \cos( \beta ) } \cdot \frac{1}{ \cancel{ \cos( \beta )} } \cdot \: \cancel{ \cos( \beta ) } \\ \\ \sin( \beta ) \: \cdot \: \dfrac{ 1 }{ \cos( \beta ) } [/tex][tex] \sf \: simplify \: multipication : \\ \dfrac{ \sin( \beta ) }{ \cos( \beta ) } [/tex][tex] \sf use \: \frac{ \sin( \beta ) }{ \cos( \beta ) } = \tan( \beta ) \: identity : \\ \therefore \: \tan( \beta ) [/tex]

can you please help me with this question?​

Answers

Answer:

I have made it in above picture

hope it helps

ABC
180 - 28 = x

DEF
180 - 25 - 20

there are 60 minutes in a hour.how many minutes are there in 24 hours

Answers

There are 1440 minutes in 1 hour

Step-by-step explanation:

Since there are 60 minutes in 1 hour multiply 60 by 24, you get 1440.

I suck at geometry can someone help??

Answers

Answer:

Last option is the correct answer

Step-by-step explanation:

None of these choices are correct.

Correct order would be,

Since,

58° < 59° < 63°

Therefore,

AC < CB < AB

AC, CB, AB (this is the correct order of the sides from shortest to longest.)

If you make a batch of cookies and your sister eats 10% of them, what percent remains?

Answers

Answer:

I love cookies

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

1 batch would be the same as 100%

So, 100%-10%=90%

Hope I helped you!!!!!

Which set contains values of x that makes this equation true?
7x = 42
o A. 8
OB. 7
O C. 6
OD. 5
Plsssss help

Answers

Answer:

6

Step-by-step explanation:

7(6) = 42

The answer is C
Explanation
7*6=42

Joe has $70 in a savings account. The interest rate is 10% per year and is not compounded,
How much interest will he earn in 4 years?
Use the formula i = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$28

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 70 × 0.1 × 4 = 28

I = $ 28.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 10% per year

for 4 years is $ 28.00.


A rectangular flag has an area of 3/8 square foot. The width is 3/4 foot. What is the length of the flag?

Answers

Answer:

1/2

Step-by-step explanation:

Area= 3/8

Width=3/4

Length=?

3/8=0.375

3/4x1/2=3/8 (0.375)

What is the answer to114 times 12

Answers

A n s w e r :

1368.00

Select the correct answer.
What is the range of the function graphed below?
у
8
6
-
2
-4
HX
- 2
2
4
6
2
4
-6
OA - < y < -2

Answers

Answer:

B

Step-by-step explanation:

The range of the function is - ∞ < y < 2

How to determine the range?

The range of the function are the set of output values of the function.

From the given graph, the values of the graph increases from negative infinity and ends at 2

So, the range of the function is - ∞ < y < 2

Read more about range at:

https://brainly.com/question/10197594

what is the measurement of the missing angle for the following?​

Answers

Answer:

the answer is 38

Step-by-step explanation:

103 + 39 + 38= 180, the degree of a triangle

A pair of athletic shoes costs ​90$. If the inflation rate remains constant at 4​%, write an algebraic rule to determine the​ cost, c(t), of the shoes after t years. ​c(t) =

REALLY NEED THIS ANSWER

Answers

Answer:

c(t)=90+90×0,04t

c(t)=3,6t + 90

WILL GIVE BRAINLESS
what is the missing number of 4:9=36:

Answers

Answer:

81

Step-by-step explanation:

4 : 9

36 : ?

to get from 4 to 36, you multiply 9

9 x 9 = 81

Question
Is the statement below true or false?
A sampling error is the situation in which not all members of the population are equally likely to be selected.

Answers

Answer:

I think it's true sorry if I get it wrong

Answer: it is false, I hope this helps you out!

PLZ HELP DUE IN 8 MINS PLZ HELP

Answers

Answer: for number 1 its negative 14

Step-by-step explanation:



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.


Answers

Answer:

C

Step-by-step explanation:

Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.

this is a math question find the complement of 50 degree​

Answers

Given:

The measure of an angle is 50 degrees.

To find:

The complement of the given angle.

Solution:

We know that the sum of an angle and its complement is 90 degrees.

Let x be the complement angle of 50 degrees.

[tex]x+50^\circ=90^\circ[/tex]

[tex]x=90^\circ-50^\circ[/tex]

[tex]x=40^\circ[/tex]

Therefore, the measure of complement of the given angle is 40 degrees.

Help the sista out cause it boring

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4/5 your dividing 4 by 5, so answer is B :)

Make a equation for the scatter plot line

Answers

Answer:

y = -7.2x + 540

Step-by-step explanation:

to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)

slope = 540/-75 or -7.2

5. What is the volume of the figure below?
18 cm
5 cm
12 cm
A. 180 cm
B. 540 cm
13 cm
C. 380 cm2
D. 360 cm3

Answers

Answer:

732

Step-by-step explanation:

Find the area of each. Use pi = 3.14

Answers

There's no picture or anything about the shape in the question D: if you're able to explain in the comment I'll help you :D

Solve and show work please! Help is appreciated ♥️

Answers

Answer:

16 pi

Step-by-step explanation:

Since 2r is the circumference and the radius is 8, it's 8 x 2 which gives you 16. You don't need to add in the pi since they already gave you at the options.

In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 traffic
fatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involved
a drunk driver.

Answers

My name is Ankush kumar I am A boy

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