The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)

Answers

Answer 1

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness


Related Questions

Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?

A) 80 students
B) 320 students
C) 40 students
D) 160 students

("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")

Answers

Answer:

C) 40 students

Step-by-step explanation:

The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.

x 40%

_____ = _____

800 100  

Cross multiply and divide to get your answer!

ik this is alot but please help me. ​

Answers

Answer:

help u in what please ask the question so we can anwser

A net of a three-dimensional figure is shown.
5 ft
4.ft
10 ft
6 ft
SED
What is the surface area of the three-dimensional figure?

Answers

Answer:

184 ft²

Step-by-step explanation:

16x10=160

2x1/2x4x6=24

160+24=184

Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST

Answers

Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

In a particular library, 18% of the books are children's books, 53% of the books are adult fiction, and the rest are adult nonfiction. You select 3 books at random; what is the probability That none of them are children's books?

Answers

Answer:

3321 / 12500

Step-by-step explanation:

P (not child, not child, not child) = 82/100 × 81/100 × 80/100

Calculator
13 in
94
7.5 in.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest tenth.

Answers

Answer:

9165.0

Step-by-step explanation:

13*94*7.5 = 9165.0

I need help please.

Answers

Answer:

B

Step-by-step explanation:

Put "Volume of a Cone" in your browser and all you have to do is type the height and radius.

If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210

Answers

According to my calculations, the answer to your question is 200 marks.

The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?​

Answers

Answer:

3 teams and 29students in each team.

let, the team be x,y,&z

given all the team r equal so, x=y=z

x+y+z=87

3x=87

x=87/3

x=29

we get, x=y=z=29

hope it helps.

someone please help thanks

Answers

Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

The answer to this question is 1/2

Write an emergency that could happen that would have a financial cost

Answers

Answer:

Your house burning down.

Step-by-step explanation:

You would have to pay to repair it.

Answer:

Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.

The building fire will make people lost their things and the building need to rebuild.

Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.

Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.

Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.

Blasting vehicle will make the things in the car lose. the car need to put the windows on again.

Terrorist attacks will lost lives more than lost money or other things.

Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.

That is all I can think of.

A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?

Answers

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)

Answers

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.


How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters is allowed?

Answers

Answer:

16

Step-by-step explanation:

4 x 4

Which angle measure is a complement of an angle whose measure is 62 degrees?

A 96
B 118
C 16
D 28

Answers

A 96 dint trust me tho
I not sure that’s the answer I got thi

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

giving brainliest!!
pls help asap *easy*

Answers

Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: [tex]\frac{4}{3} \pi r^{2}[/tex]

V = [tex]\frac{4}{3}[/tex] × (3.5)²π

V = [tex]\frac{4}{3}[/tex] × 12.25π

V ≈ 16.333 in³

a solution set always include....

Answers

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.

Sale 10 % off During the sale, Susan pays $603 for a wedding cake. What was the original price?

Answers

$670 is the correct answer!

Answer:

$670

Step-by-step explanation:

1/10x + 603 = x

x -10x = -6030

-9x = -6030

x = 670

Solve the proportion.
10
15
a
24
a = [?]

help please I will give you brainliest!!

Answers

Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.


10/a=15/24


(10)*(24)=15*a


240=15a


Step 2: Flip the equation.


15a=240


Step 3: Divide both sides by 15.

15a / 15 = 240/15

a=16

Select the correct answer from each drop-down menu.


A camp director developed the function m(c) = 12c + 80 to model the total cost of taking c campers on a field trip to the movies.


In the camp director’s function, the number of campers is the _______ variable and the total cost of the trip _________


1. ( independent, dependent )

2. ( changes by a constant factor per camper, Changes by a constant amount per camper )

.

Answers

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

[tex]m(c) = 12c + 80[/tex]

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

[tex]y = ax + b[/tex]

Where a represents the slope

By comparison with: [tex]m(c) = 12c + 80[/tex]

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Help pls will give BRAINLY

Answers

Answer:

A. Mean

Step-by-step explanation:

Please tell me how much it would be for 1

Answers

Answer: tall is 12 dollars

Step-by-step explanation:

Please tell me how and work!!!

Answers

Answer:

2) false, no

3) true, yes

4) false, no

5) true, yes

If you have any other questions let me know

I give brainalist and points for an answer and explanation

Answers

Answer:

option D

Step-by-step explanation:

diameter of two small circle i.e 14cm

radius of two small circle =7cm

area of the small circle =πr²

area of the small circle=22/7 x7²

area of the small circle=154cm²

Radius of bigger circle =14cmArea of bigger circle=πr²

Area of bigger circle=22/7×14²

Area of bigger circle=616cm²

Area of shaded region =area of bigger circle -area of small circle +area of small circle

area of shaded region =616-154+154

area of shaded region=308cm²

i.e approximately 282.74cm²

Given: c=58, b=15, angle B=15 degrees a= ?

a. 60
b. 52
c. 56

Answers

Answer:

c. 56

Step-by-step explanation:

To Find a= it would be opposite of angle A.

We could use trig ratios for this question.

Cos B= a/c

Cos 15= a/58

a = (cos15)(58)

a=56

Please Help Now i will give brainest

Answers

Answer:

7.14 and 7.15

Step-by-step explanation:

The true square root of 51 to three decimal places is 7.141.

x < 7.141 < y.

If you insert the numbers above, you get a true inequality of

7.14 < 7.141 < 7.15.

Therefore, 7.14 and 7.15 will be your answer.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

The three angles of triangle are in
the ratio 2:3:5. Calculate the size of
the smallest angle.
A. 90°
B.549
C.36
D. 30°
E. 20°
AN
D
♡​

Answers

Answer:

E I think

..........hope this helps

If you don’t know I don’t answer (NO LINKS ) please helllllppppp

Answers

Answer:

Step-by-step explanation:

1. 6.96 in

2. 2.6 in

3. 8.1 in

4. 5.6 m

5. 1.89 cm

6. 6 in

PLS HELP ME ASAPPP!!!!​

Answers

Answer:f is the answer

Step-by-step explanation:


Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)

Answers

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it
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