Invent examples of data with(a) SS(between) = 0 and SS(within) > 0(b) SS(between) > 0 and SS(within) = 0For each example, use three samples, each of size 5. ________________________________________________________________________________ Human beta-endorphin (HBE) is a hormone secreted by the pituitary gland under conditions of stress. An exercise physiologist measured the resting (unstressed) blood concentration of HBE in three groups of men: 15 who had just entered a physical fitness program, 11 who had been jogging regularly for some time, and 10 sedentary people. The HBE levels (pg/ml) are shown in the following table. Calculations based on the raw data yielded SS(between) = 240.69 and SS(within) = 6,887.6.(a) State the appropriate null hypothesis in words, in the context of this setting.(b) State the null hypothesis in symbols.(c) Construct the ANOVA table and test the null hypothesis. Let a = 0.05.(d) Calculate the pooled standard deviation, Spooled. Fitness program entrants Joggers SedentaryMean 38.7 35.7 42.5SD 16.1 3.4 12.8N 15 11 10Figure 3: Problem 11.4.3

Answers

Answer 1

(a) Example of data with SS(between) = 0 and SS(within) > 0: Identical height measurements in different sections of a uniform greenhouse.

(b) Example of data with SS(between) > 0 and SS(within) = 0: Significant difference in plant growth due to different fertilizers.

(c) ANOVA conclusion: Reject the null hypothesis, indicating a significant difference in mean HBE levels among the three groups.

(d) Pooled standard deviation: Spooled = 14.188.

(a) Example of data with SS(between) = 0 and SS(within) > 0:

Suppose we are measuring the height of plants in three different sections of a greenhouse, and the greenhouse has a uniform environment. If we take three samples of size 5 from each section and the height measurements are identical in all three sections, then we will have SS(between) = 0 and SS(within) > 0.

(b) Example of data with SS(between) > 0 and SS(within) = 0:

Suppose we are testing the effectiveness of three different fertilizers on plant growth. We take three samples of size 5 and apply each fertilizer to a different group of plants. If one fertilizer results in significantly greater growth compared to the other two, then we will have SS(between) > 0 and SS(within) = 0.

(c) ANOVA table:

Source SS df MS F

Between groups 240.69 2 120.345 F = 34.64

Within groups 6,887.6 33 208.713

Total 7,128.29 35

Null hypothesis:

The null hypothesis is that the mean HBE levels are equal across all three groups.

Symbolically, H0: μ1 = μ2 = μ3.

Test:

Using an F-test with α = 0.05 and degrees of freedom df(between) = 2 and df(within) = 33, we find that the calculated F-value of 34.64 is greater than the critical value of 3.18. Therefore, we reject the null hypothesis and conclude that there is a significant difference in the mean HBE levels among the three groups.

(d) Pooled standard deviation:

Spooled = sqrt((MS(within) * (n1-1) + MS(within) * (n2-1) + MS(within) * (n3-1)) / (n1 + n2 + n3 - 3))

Substituting the values from the ANOVA table, we get:

Spooled = sqrt((208.713 * (15-1) + 208.713 * (11-1) + 208.713 * (10-1)) / (15 + 11 + 10 - 3)) = 14.188

Therefore, the pooled standard deviation is 14.188.

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Related Questions

Solve for xxx. Your answer must be simplified. x/3 ≥ −33

Answers

we can reduce it by multiplying 3 with -33
X>=-99 that’s your final answer!! I’m sorry about the sign. I couldn’t type it here

Answer:

x ≥ -99

Step-by-step explanation:

Its on khan academy

Select the pair of terms that are NOT like terms. a) 3x2 , 3x3 b) -7xy, -9yx c) 8b, -0.5b d) -p2q2 , (pq)2

Answers

Answer:

b), c), d)

Step-by-step explanation:

Like terms are terms that have same variables with same powers.

a)

[tex]3x^2,3x^3[/tex] have same variable [tex]x[/tex] with different powers.

So,  [tex]3x^2,3x^3[/tex] are not like terms.

b) [tex]-7xy,-9yx[/tex]

Power of [tex]x[/tex] in each of the terms = 1

Power of [tex]y[/tex] in each of the terms = 1

[tex]-7xy,-9yx[/tex] are terms that have same variables [tex]\{x,y\}[/tex] with same powers.

So, [tex]-7xy,-9yx[/tex] are like terms.

c) [tex]8b,-0.5b[/tex]

Power of [tex]b[/tex] in each of the terms = 1

[tex]8b,-0.5b[/tex] are terms that have same variable [tex]b[/tex] with same power.

So, [tex]8b,-0.5b[/tex] are like terms.

d) [tex]-p^2q^2,(pq)^2=p^2q^2[/tex]

Power of [tex]p[/tex] in each of the terms = 1

Power of [tex]q[/tex] in each of the terms = 1

[tex]-p^2q^2,(pq)^2[/tex] are terms that have same variables [tex]\{p,q\}[/tex]with same powers.

So, [tex]-p^2q^2,(pq)^2[/tex]  are like terms

How is this equation wrong?? I’m giving brainlest

Answers

Answer:

It isn't?

Step-by-step explanation:

Step 1:

x + 8y = 21

x + 8y - 8y = 21 - 8y

x = -8y + 21

Step 2:

(-8y + 21) + 8y = 21

-8y + 21 + 8y = 21

21 = 21

please help i’ll give brainliest if you give a correct answer and show your work!

Answers

Answer:

as the cycle continues, you will always get 50 as the answer, since you are dividing both the numerator and the denominator with 10 in each expression. In other words, the 10:00 you divide the numerator which cancels out with the 10 you divide the denominator with. So the answer will always be 50 in each next expression.

Step-by-step explanation:

(I) 45÷90= 4500/90 = 50

(ii) 450÷9= 450/9 =50

(iii) 45÷0.9 = 45/0.9=50

(iv) 4.5 ÷ 0.09 = 45/0.09

starting with (I) 4500÷90 = 4500/90 =50

you divide the numerator and the denominator by 10 to get ; (ii) 450÷9 = 450/9 = 50

as the cycle continues you will always get 50 as the answer since you are dividing both the numerator and the denominator with 10 in each expression. In other words, the 10:00 you divide the numerator with cancels out with the 10 you divide the denominator with. So the answer will always be 50.

if i get the right answer i will give brainlist

Which point on the scatter plot is an outlier?

Point A
Point B
Point C
Point D

Answers

Answer:

Point D

Step-by-step explanation:

PLS give me brainliest

Answer:

D, I would love to be given brainliest look i have an explanation

Step-by-step explanation:

An outlier is a number that seems for the data. The outlier is usually to far fro the data.  

Find the missing angle.
20°

80°

Answers

Answer:

40

Step-by-step explanation:

20, 40,80 is a 2 xdregre angle

40. Hope this helps!

7x-3=12 help me please

Answers

Answer:

x=15/7

Step-by-step explanation:

7x-3=12

+3=+3

7x=15

/7=/7

x=15/7

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos?

Answers

Antonio tiene 5 y Juan tiene 20

The ratio of petunias to geraniums in the green house was 15 to 2. The combined number of of petunias and geraniums was 1020. How many geraniums were in the green house

Answers

Answer:

136

Step-by-step explanation:

divide 1020 by 15 = 68. 68 x 2 is 136

Club A has fee of $21 plus $23 monthly Club B has fee of $12 plus $26 monthly When will they be the same and what is it?

Answers

Answer:

hmmmmmmmm

Step-by-step explanation:

The club would be the same on the 3rd month, with the same money fee of $90

What should you write as the answer to a
question that has no solution?

Answers

Answer:

If you are talking about a equation and if the equation has no solution suppose the variable is x and the answer is x=2x that has no solution then you just write x = no solution or x has no solution.

I need the answer and how u solved it

Answers

Answer:

$1,920.00

Step-by-step explanation:

12,800 x 15%=1,920.00

Determine if the expression 10b^2 + b^3/6+ b^5 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.​

Answers

Answer:

Yes it is a polynomial, Degree: 5, Type: Trinomial

Hope this helps!

Answer:poly of 5

Step-by-step explanation:

mono

There is a sale on Blu-rays in a local shop – 20% off selected items. Your favorite Blu-ray before the sale cost $18. How much will you save? How much will you pay?

Answers

Answer:

save $3.6, pay $14.4

Step-by-step explanation:

A cd costs $18

If there is a 20% discount, you only have to pay 80% of the original price.

This means you only have to pay (0.80 x $18=) $14.4 dollars, which means you saved ($18 - $14.4=) $3.6.

Or you could just do $18 x 0.20 = $3.6

MATH HOMEWORK! 20 points

Answers

Answer:

×=-1 or x=2/3

Step-by-step explanation:

yeah yeah yeah

Answer:

x=-1 , x=2/3

Step-by-step explanation:

x=-b+/- sqr root b^2-4ac/2a

x=-1+/ sqr root 1^2-4(3)(-2)/2(3)

x=-1+/- sqr root 25/6

Split into two outcomes

x=-1+5/6

x=2/3

x=-1-5/6

x=-1

I NEED THIS DONE ASAP PLS-

ok so i completely forgot how to do long division, and my hand writing sucks ik, sooo i need help pls! q-q

I SWEAR I WILL GIVE THE BRAINLY CROWN THINGY!! (and 20 points)

Answers

Answer:

you wrote that wrong cause ur answer is 0.01225490196

Step-by-step explanation:

Answer:

The answer is 321.6

Step-by-step explanation:

We have to go step by step when we are solving this.

Lets think of it like this

Does 25 go into 8? No! So lets put a 0 on the top (I see you already did that so good start)

Does 25 go into 80? Yes! How many times though? 3 times; So lets put a 3 on the top (Our top should look like 03) Since 25 goes into 80 3 times we need to multiply 25 and 3.  

25x3= 75 -> Subtract that 75 from 80

Now we have a remainder of 5. We are going to bring down the 4 so it can be a complete number, and now it would be 54.

Does 25 go into 54? Yes! How many times? 2 times; So lets put a 2 on the top (Our top should look like 032) Since 25 goes into 54 2 times we have to multiply 25 and 2.

25x2=50 -> subtract that 50 from 54 -> 54-50=4

Now we have a remainder of 4. Bring down the last number, 0 and now we should be with 40.

Does 25 go into 40? Yes! How many times? 1 time; therefore we will just be subtracting 25 from 40. (our top should look like 0321)

40-25= 15 -> we have a remainder of 15. 25 can't go into 15 because 15 is too small. Therefore we are going to have to make a decimal. So on the top add a decimal after 1 and bring down an invisible 0. (Our top looks like this 0321.)

Does 25 go into 150? Yes! How many times? 6 times; so lets multiply 25 and 6 and then subtract that from our 150 that is down there.

25*6= 150

150-150= 0

THAT MEANSSSSS..... our answer is 321.6! P.S yes drop that 0!

Hopefully this helped

Can you plz help me!

Answers

The integer is -56. The word “lost” represents negative.

1×2×3×4×5×6×7×8×9×10=​

Answers

Answer:

just use a calc

Step-by-step explanation:

Please help I need it ASAP!!

Answers

Answer:

5+z=190....././......

Answer the question provided in the picture below.

Answers

Answer: see the explanation

Step-by-step explanation:The perimeter is the distance around the outside of a shape. Perimeter is measured in units (e.g., cm). The area is the amount of space the inside of the shape takes up. Area is measured in square units (e.g., cm2).

Jesse made a list of chores he needed to complete before his father came home from work and he showed the time it would take him to complete each chore.



If Jesse's father is expected home at 6:10 p.m., what is the latest time Jesse could begin his chores?

A. 3;45 p.m.
B. 3:55 p.m.
C. 4:05 p.m.
D. 4:15 p.m.

Answers

I believe it is 3:45.

Answer:

3:55 pm

Step-by-step explanation:

Lets add all the time duration of each chore to know the overall time taken to complete all the chores .

Total time taken to finish the chores :-

5 + 25 + 30 + 60 + 15 = 135 mins or 2hr 15 min

If Jesse's father is expected to come at 6:10 pm , the exact time he should begin his chores is :-

6:10 - 2:15 = 3:55 pm

Find the values of the variables and the lengths of the sides of this kite.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question .

plz mark my answer as brainlist.

hope this will be helpful to you.

Answer:

D

Step-by-step explanation:

Using Proportions to Make a Prediction
Of 25 grocery store shoppers, 14 said that their family’s favorite breakfast is cereal bars. Predict how many of 500 families at grocery store would buy cereal bars.





Of 200 radio-controlled cars that were manufactured by one company, 3 were defective. The company manufactures 1000 cars each day. About how many
defective cars would you predict are produced each day?


HELP......HELP......HELP

Answers

○=> Solution (1) :

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

[tex] =\tt \frac{14}{25} \times 500 [/tex]

[tex] =\tt \frac{14 \times 500}{25} [/tex]

[tex] = \tt \frac{7000}{25} [/tex]

[tex] \color{plum}= \tt280 \: people[/tex]

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

○=> Solution (2) :

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

[tex] = \tt \frac{3}{200} \times 1000[/tex]

[tex] =\tt \frac{3 \times 1000}{200} [/tex]

[tex] = \tt\frac{3000}{200} [/tex]

[tex]\color{plum} = \tt15 \: defective \: cars[/tex]

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.

Find the value of 5(a +c) when a = 4 and c = 9.
answer quick

Answers

Answer:

Your answer is 65

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

answer is 65. 4+9= 13; 13x5= 65

Uri has 22 same-sized circles that are divided into different numbers of equal-sized parts. He shades 1/5 of the first circle. The second circle has three times as many parts as the first circle. Uri shades an equivalent fraction of the second circle. What fraction of the second circle does Uri shade?

Answers

Answer:

The fraction of the second circle does Uri shade = [tex]\frac{1}{15}[/tex]

Step-by-step explanation:

As given,

Total number of same sized circle = 22

In first circle :

He shades [tex]\frac{1}{5}[/tex] of the first circle.

⇒ He divide the first circle in 5 parts and shaded 1 part.

Now,

The second circle has three times as many parts as the first circle.

⇒Total parts of second circle = 3 × 5 = 15

Now,

Given that  Uri shades an equivalent fraction of the second circle.

⇒Uri shade second circle = [tex]\frac{1}{15}[/tex]

∴ we get

The fraction of the second circle does Uri shade = [tex]\frac{1}{15}[/tex]

geometry, write statement and reason

Answers

when i do proofs, i always have notes that tell me the answer. maybe look in your book, sometimes they r in there! hope this helps
AB is parallel to DC (given).
AB is congruent to DC (given).
Both triangles share line AC...so you can start there and say that AC is congruent to AC (reflexive property).
Since AB and DC are parallel, and they are cut by a transversal (line AC), you can say that angle DCA is congruent to angle BAC (alternate interior angles theorem).
Since you have 2 sides and the included angle congruent on these 2 triangles, you can say that triangles ABC and CDA are congruent by the SAS (Side-Angle-Side) theorem...or just “SAS”

please help asap!!!!

Answers

Answer:

primeter 34.ft

area.30 ft

Step-by-step explanation:

15 POINTS!!
answer the question in the picture

Answers

Answer:

10, 0, 2.

Step-by-step explanation:

It means that the number is greater than -3.

So, 10, 0, 2, are all greater than -3, and all the other numbers are smaller. So 10, 0, 2 are the numbers that are part of the solution for x>-3.

Answer:

10(a), 0(c), 2(d)

Uh Expanded form pls? 4.02 x 10^5

Answers

Answer:

4.02 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

The part that needs expanding is the exponent. Since it is to the power of 5 there needs to be 5 written out 10's, all multiplied.

4.02 x 10 x 10 x 10 x 10 x 10

Answer:

the answer in expanded form is 402000

the problem in expanded form is 4.02  x 10  x 10  x 10  x 10 = above

Step-by-step explanation:

pls leave a thank you trynna rank up

1. Which of the points below
is a solution to the system:
y = 3x + 2 and y = 5x - 6?
A. (3, 11)
B. (4, 14)
C. (2, 4)
D. (18, 60)

Answers

Answer:

B

Step-by-step explanation:

I found this out my pluging in the points from B into the two each equation

[tex]14 = 3(4) + 2[/tex]

[tex]14 = 5(4) - 6[/tex]

Hope this helped

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