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

how did you get 24/10?

Answers

Step-by-step explanation:

[tex] \tt{} \frac{24}{10} [/tex]

[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]

[tex]\tt{} \frac{12}{5} [/tex]

[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]


A body starts from rest and
accelerates uniform at 5 ms2.
calculate the time taken
by the body to cover a
distance of
1km

Answers

Add the numbers............

Find the slope of line with the given points (- 6, 2)(3, 7)

Answers

Answer:

m = 5/9

Step-by-step explanation:

rise = 5

run = 9

m = rise/run

m = 5/9

Answer:

m = 5/9

Step-by-step explanation:

Use the slope formula to find the slope m.

[tex]m = \frac{5}{9}[/tex]

Help
Select all that apply

Answers

Answer:

A, D

Step-by-step explanation:

It's basic math, height times length = Area.

Answer:

A and D are the only ones that i can see that would be correct

Step-by-step explanation:

write 18 1/4 as a decimal ​

Answers

Answer: 18.25

Step-by-step explanation: Lets start off with this: 1/4 is the same as 25 (like if you use quarters, you know 4 quarters makes a dollar, and one quarter is 25)

So, since we have 18 and 25, converting it to a decimal is easy. Put the numbers together (18 and 25) Then just add decimal in the middle.

                   

                                                         OR

18 x 4 (which is 72) then add 72 to the numerator (1) which will give you 73 (72 + 1) Finally, divide 73 by 4, (4 is denominator) which will then give you 18.25 :D

The mixed number  [tex]18\frac{1}{4}[/tex]  written as a decimal is 18.25.

To write [tex]18\frac{1}{4}[/tex] as a decimal, we can convert the mixed number into an improper fraction and then divide the numerator by the denominator.

The mixed number to an improper fraction.

[tex]18\frac{1}{4}[/tex] = (18 × 4 + 1)/4

= 73/4

Divide the numerator by the denominator.

73 ÷ 4

= 18.25

Therefore,  [tex]18\frac{1}{4}[/tex]  written as a decimal is 18.25.

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Mrs. Hall bought a package of 8 pencils for $4.64. What is the unit price per pencil?

Answers

Answer:

$0.58

Step-by-step explanation:

There are 8 pencils per package. To find the value of each pencil, divide the cost by 8

4.64/8 = $0.58

Answer:

$0.58

Step-by-step explanation:

unit means one, or the rate or price of each pencil. so if the total was 4.64, youd divide 4.64 by 8, which comes out to $0.58 per pencil

irections: Find the area of each figure round to the nearest tenth where necessary.
2

Answers

Answer:

21 x 33 = 693

16 x 7 divided by 2 = 216

17.6 x 17.6 divided by 2 = 154.9

19 x 7.8 = 148.2

7 + 2 x 5.5 divided by 2 = 24.8

10 x 12 = 120

Please wait for more responses if needed!

6. How many of the integers between 20 and 40 are
odd?
b)11
d)12
c12​

Answers

Answer: 10

Step-by-step explanation:

List out the numbers:

20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40

There are 10 odd numbers

Otherwise a faster method:

Odd numbers occur every other number

There are 40 - 20 = 20 numbers between 20 and 40

20/2 = 10

10 odd numbers

Find the length of the third side. If necessary, round to the nearest tenth?

Answers

Answer:

3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Which expressions are equivalent to x + 2y + x + 2?

Choose all answers that apply:

A 2(x+y+1)
B 2x + 4y +4
C None of the above

Answers

Answer:

2x + 2y + 2

Step-by-step explanation:

A is right

A is right because if you plug in the 2 to each the x y and 1 it will give you the same problems

Reggie is making a double layer cake the recipe for the first layer calls for 2 1/4 cups sugar. the recipe for the second layer calls for 1 1/4 cups of sugar. Reggie has 5 cups of sugar. How much will he have left after making both recipes? ​

Answers

Answer:

Step-by-step explanation:

Meg, add the fractions

2_1/4  +  1_1/4

or  2 + 1    +   _1/4 + _1/4

3 + _2/4

3 + _1/2

3_1/2

then what's left is  

5 - 3_1/3 =   1_1/2  

got it?

write an expression that mean "eight less than product of seven and X".​

Answers

Answer:

7x - 8

Step-by-step explanation:

eight less than product of seven and X

seven and x = 7x

eight less than = - 8

put it all together = 7x - 8

Answer:

7x - 8

Step-by-step explanation:

product of seven and X

7 X x = 7x

8 less than it

7X - 8

This is because we're looking for something that is smaller than 7X by 8

Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:

Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26

What is the experimental probability that Jenny will pull out a purple tile? (5 points)

fraction 6 over 50
fraction 44 over 50
fraction 6 over 44
fraction 18 over 44

Answers

Answer:

Step-by-step explanation:

i am not sure do they give you a number of tiles

Answer:

A: 6/50

Step-by-step explanation:

i think

ill mark brainlist plss help

Answers

Answer:

it's the3rd one

Step-by-step explanation:

it's is 182 feet

List three solutions to the following equation: 2x + 4y = 24 Please remember to write your answers in the correct (x,y) format.

Answers

Answer:

(-4,8)

(12,0)

(4,4)

Step-by-step explanation:

graph it

A complex shape with measurements 4 feet, 10 feet, 4 feet, 2 feet, 4 feet, 6 feet, 4 feet, 2 feet.
The perimeter of the shape is
feet.

Answers

Answer: Add each side to get perimeter so your total is 38ft

Step-by-step explanation:

Answer: 36

Step-by-step explanation:


Find the sum of the first six terms of the Geometric Progression (G.P.):
2
1, 2, 4, ....​

Answers

Step-by-step explanation:

Heueueirjrjkwugoystsitso5wpysoydlusktzlhskgdlysyldj

Need help for 2 and 3 fast

Answers

Answer:

[tex]2^{-4}[/tex] = 1/16

[tex]6^{-5}[/tex] × [tex]6^{5}[/tex] = 1

Step-by-step explanation:

[tex]2^{-4}[/tex] = 0.0625

0.0625 = 1/16

[tex]6^{-5}[/tex] × [tex]6^{5}[/tex] = 1

3.366 rounded to the nearest tenth of a ounce

Answers

Answer:

The answer is 3.4

Step-by-step explanation:

5 or more, round up

4 or less, round down

rounding 6

round up

so...

3.4

(-2, -7) and (-4, -9)

Answer:

3.4Oz

Step-by-step explanation:

The lifetime of battery of a device (in one charge) is normally distributed with mean µ = 18 hours and standard deviation σ = 2 hours. (a) What is the probability that a battery will last more than 20 hours? (b) Find the 10th percentile of the lifetimes. (c) A particular battery lasts 16 hours. What percentile is its lifetime on? (d) What is the probability that the lifetime of a battery is between 17.5 and 18.5? (e) Ten batteries are chosen at random, what is the probability that the mean lifetime is between 17.5 and 18.5?

Answers

Answer:

a) 0.1587 = 15.87% probability that a battery will last more than 20 hours.

b) 15.44 hours.

c) Approximately the 16th percentile.

d) 0.1974 = 19.74% probability that the lifetime of a battery is between 17.5 and 18.5.

e) 0.5704 = 57.04% probability that the mean lifetime is between 17.5 and 18.5

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, we have that:

[tex]\mu = 18, \sigma = 2[/tex]

(a) What is the probability that a battery will last more than 20 hours?

This is 1 subtracted by the pvalue of Z when X = 20. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20 - 18}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that a battery will last more than 20 hours.

(b) Find the 10th percentile of the lifetimes.

This is X when Z has a pvalue of 0.1. So X when Z = -1.28

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 18}{2}[/tex]

[tex]X - 18 = -1.28*2[/tex]

[tex]X = 15.44[/tex]

So 15.44 hours.

(c) A particular battery lasts 16 hours. What percentile is its lifetime on?

We have to find the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 18}{2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

Approximately the 16th percentile.

(d) What is the probability that the lifetime of a battery is between 17.5 and 18.5?

This is the pvalue of Z when X = 18.5 subtracted by the pvalue of Z when X = 17.5. So

X = 18.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18.5 - 18}{2}[/tex]

[tex]Z = 0.25[/tex]

[tex]Z = 0.25[/tex] has a pvalue of 0.5987

X = 17.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17.5 - 18}{2}[/tex]

[tex]Z = -0.25[/tex]

[tex]Z = -0.25[/tex] has a pvalue of 0.4013

0.5987 - 0.4013 = 0.1974

0.1974 = 19.74% probability that the lifetime of a battery is between 17.5 and 18.5.

(e) Ten batteries are chosen at random, what is the probability that the mean lifetime is between 17.5 and 18.5?

Sample of 10 means that, by the Central Limit Theorem, [tex]n = 10, s = \frac{2}{\sqrt{10}} = 0.6325[/tex]

X = 18.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18.5 - 18}{0.6325}[/tex]

[tex]Z = 0.79[/tex]

[tex]Z = 0.79[/tex] has a pvalue of 0.7852

X = 17.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{17.5 - 18}{0.6325}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a pvalue of 0.2148

0.7852 - 0.2148 = 0.5704

0.5704 = 57.04% probability that the mean lifetime is between 17.5 and 18.5

The revenue from selling x bracelets is f(x) = 8x.
The cost of buying x bracelets is c(x) = 3x + 12.
The profit from selling x bracelets is p(x) = (x) - c(x).
Write a function for p(x), the profit from selling x bracelets.
O A. p(x) = 11x - 12
B. p(x) = 11x + 12
C. p(x) = 5x - 12
O D. p(x) = 5x + 12

Answers

We are given r(x) and c(x).

p(x) = 8x - (3x + 12)

p(x) = 8x - 3x - 12

p(x) = 5x - 12

Done.

Which function's graph has the same y Intercept as the line shown?
Оу в x +1
Oy -5x + 5
O y .5x-5
O y: 5x - 1

Answers

It is B y-5x+5 and it says I have to put

The graph has the same y Intercept as the line shown is y = 5x - 5.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We take two points from the graph as (-5, 0) and (0, -5)

So, the slope of line

slope = (-5 - 0)/ (0- (-5))

slope= -5 / 5

slope= -1

Using slope intercept form

y= mx+ b

y= -x+ b

Now, put x= -5 and y= 0 then

0 = -(-5)+ b

b= -5

So, the equation of line is

y= -x - 5

Here, the y intercept is -5.

So, the equation with same y intercept is

y = 5x - 5

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20a + 158 +6c = 20 (6) + 15 (4) + 6(8)
+
?
+
?

Answers

Step-by-step explanation:

20a + 158+6c=you will expand the brackets

= so it is 120+60+48

20a+158+6c=120+60+48

20a+ 6c=120+60+48-158

20a+6c=70

20a divide by 20+6c divide by 6 on both side

a + c = 0.58

a. 1 third of 3 over 4 = ____ fourth(s)?

Answers

Answer:

0.25

Step-by-step explanation:

1/3 of 3/4 means

(1/3) x 3/4

3/12

0.25


Find surface area of the prism.
5 m
18 m
4 m

Answers

Answer: 27m

Step-by-step explanation:

Find the volume.please :>​

Answers

Answer:

The volume of the cube is 77 inches.

Lmk ASAP please you’re the

Answers

9514 1404 393

Answer:

  a ≈ 4.68

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

  a = √(b² +c² -2bc·cos(A))

  a = √(5² +8² -2·5·8·cos(33°)) = √(25 +64 -80·0.83867) ≈ √21.906

  a ≈ 4.68

Answer:

a≈4.68

Step-by-step explanation:

have a good one!!!

I’ll give as many points as possible please help

xy^2 (x^2y^3+5xy-4)

Answers

Answer:

x^3y^5 + 5x^2y^3 - 4xy^2

Step-by-step explanation:

xy^2 (x^2y^3+5xy-4)

xy^2x^2y^3 + xy^2 x 5xy - 4xy^2

xy^2x^2y^3 = yx^2y^5

xy^2 x 5xy = 5x^2y^3

x^3y^5 + 5x^2y^3 - 4xy^2

Is that what you want? Let me know.

Type in a value that represents as likely as not in a decimal form.

Answers

Answer:

I Need Numbers Somthing....... Its Imposable to answer this

Step-by-step explanation:

How many thirds are in 12?

Answers

36 thirds because 12 times 3 is 36 and 36 x 12 is 1/3
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