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)
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
Geometry Question, Need help. Will give brainliest.
Answer:
i cant see the direction sorry :(
Step-by-step explanation:
which expression is equivalent to 3(9p+2r)
Answer:
27p+6r
Step-by-step explanation:
3(9p+2r)
1 Solve the product 3(9p+3 2r)
3⋅9p+3x2r
Multiply 3 times 9
27p+3x2r
Final Answer
27p+6r
5^-2 + 7^0
PLSSS HELP MEEE IM IN SCHOOL RIGHT NOW
TRY THIS
Step-by-step explanation:
Step-by-step explanation:
Given
[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]
Hope it will help :)❤
Please need help thank
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
It has the most x's (rolls) compared to the other numbers rolled.
A school has to select one student to take part in a General Knowledge Quiz.Kelly and Rory took part in six trial quizzes. The following lists show their scores.Kelly 28 24 21 27 24 26Rory 33 19 16 32 34 18Kelly had a mean score of 25 with a range of 7.(a) Calculate Rory's mean score and range.(b) Which student would you choose to represent the school? Explain thereason for your choice, referring to the mean scores and ranges.
11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G
14.
Step-by-step explanation:
6x+6=90 (being a straight line)
6x=90-6
6x=84
x= 84/6
x=14.
what is 47 ÷ 12 1/3 =
Answer: 47/363
(Decimal: 0.129477)
A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter
Answer:
haach f,f msfmavfb
Step-by-step explanation:
A high school Band has a budget of $1500 this year. They plan to go to the State Competition which cost $450. How many Members of the band can attend if the uniforms have a cost of $25 each. let n represent the number of bandmates
Group of answer choices
Answers:
n > 60
n > 42
n < 42
n < 78
Answer:
n < 42
Step-by-step explanation:
450 + 25n < 1500 (Has to be less than 1500)
25n < 1500 - 450
25n < 1050
n < 42
Answer:
n < 42
450 + 25n < 1500
25n < 1500 - 450
25n < 1050
n < 42
Helppppppppppppppppp
Select the improper fraction that is not equivalent to the whole number 6
18/3
6/1
54/3
54/9
Answer:
54/3=18
Step-by-step explanation:
18/3=6
6/1=6
54/9=6
Select all the statements that are true
Answer:
Options 2, 4 and 6 are True.
Step-by-step explanation:
Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).
Rule to be followed to dilate the vertices of the given triangle,
(x, y) → (kx, ky)
Here, k = scale factor
By this rule vertices of the new triangle M'N'O' will be,
M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]
N(-4, -4) → N'(-6, -6)
O(6, -2) → O'(9, -3)
Option 1
M'N' is shorter than MN
Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]
= 10.77
Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]
= 13.42
Therefore M'N' > MN
Therefore, Option A is False.
Option 2
ON is shorter than O'N'
True.
Option 3
OM is longer than O'M'
False
Option 4
ON is parallel to O'N'
Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.
True.
Option 5
OM is parallel than O'M'
Since, O'M' is the dilated form of OM,
Therefore, all the points (O, M and M') will be in a straight line.
False
Option 6
M'N' coincide with MN
True.
Therefore, Options 2, 4 and 6 are True.
CAN SOMEBODY PLEASE HELP ME!!
Answer:
2,2 2,7 5,7
Step-by-step explanation:
A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches
LOOK AT THE PICTURE!!
Answer:
56
Step-by-step explanation:
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
WILL GIVE BRAINLIEST TO ANSWER
its x4 got it thanks give me brainliest
Please help if not I with find you
Answer:
7,7,15
Step-by-step explanation:
Because the summation of two sides should be greater than the other one
Help me with this please
Answer:
x = 37.5
Step-by-step explanation:
The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees. That gives us the number 105°
Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).
That gives us:
(180 / 105) / 2
= 75 / 2
= 37.5
HELP ME NOW PLEASE!!!!!
The question says "State the coordinates of Point G after a rotation of 90 degrees clockwise followed by a dilation with scale factor 2." The coordinates are G(4.5, 3).
Answer:
Hiiiiiiiiiiiii Picture pls?
Step-by-step explanation:
:))
Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?
Answer:
3 feet
Step-by-step explanation:
If the length is 4 feet, there are two lengths so you get 8
14-8= 6
Because there are two widths, you do 6 divided 2 and you get 3 feet
An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered.
Write an expression that can be used to find the cost in dollars for b bags including shipping.
Answer:
b=21x+8
Step-by-step explanation:
she sell bags 21 dollars for every bag(x) and they only add 8 dollars 1 time
One card is randomly selected from a deck of cards. Find the odds:
in favor of getting a spade.
Answer:
1/4 chance or 0.25 or 25%
Step-by-step explanation:
One forth of cards in a deck are spades
Answer:
1/4
Step-by-step explanation:
In a deck of cards, there are 52 cards (not including jokers)
and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4
URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??
Answer:
493g.
Step-by-step explanation:
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
WILL GIVE BRAINLIEST
Answer:
B. 12
Step-by-step explanation:
First, we need the degrees for A. So, cosx = 5/13 = 67.4
Now it will be easy to solve a. tan67.4° = a/5 = 12.011728511....
we round it to the nearest tenth and we get 12.
Step-by-step explanation:
By pythagoras theoram
[tex]c = \sqrt{a2 + b2} [/tex]
13=a²+5²a²=13²--5²a²=169--25a²=144I think this is a helpful for youThe volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
$200 in a savings account. The interest rate is 3%. Determine the exact amount of money that will be in the
account after the following amounts of time.
a) 2 months: b) 6 months:
c) 11 months: d) 1 year:
e) 2.5 years: f) 5 years:
Answer:
what
Step-by-step explanation:
What is the CONSTANT in the expression 3k + 12?
Answer: 12
Step-by-step explanation:
The constant of the expression is 12.
What is a constant?'A constant is a value or number that never changes in expression that is it's constantly the same.'
According to the given problem,
In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.
If k = 1, the value of the expression is (3 × 1) + 12 = 15
k =2, the value is (3 × 2) + 12 = 18
But we can see that no matter the value of k is, the expression has to be added with 12.
Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.
Learn more about constant here:
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