A liquid dietary product implies in its advertising that use of the product for one month results in an average weight loss of at least three pounds. Eight subjects use the product for one month, and the resulting weight loss data are reported as follows.
Subject Initial Weight (lbs) Final Weight(lbs)
1 165 161
2 201 195
3 195 192
4 198 193
5 155 150
6 143 141
7 150 146
8 187 183
a) Do the data support the claim of the producer of the dietary product with the probability of Type 1 error of .05?
b) Do the data support the claim of the producer of the dietary product with the probability of Type 1 error of .01?
c) In an effort to improve sales, the producer is considering changing its claim from "at least three pounds" to "at least five pounds". Repeat parts a and b to test this new claim.
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Please find the table in the attached file.
mean and standard deviation difference: [tex]\bar{d}=\frac{\Sigma d}{n} =\frac{-4-6-.......-4-4}{8}=-4.125 \\\\S_d=\sqrt{\frac{\Sigma (d-\bar{d})^2 }{n-1}}=\sqrt{\frac{(-4 + 4.125)^2 +.......+(-4 +4.125)^2 }{8-1}}= 1.246[/tex]
For point a:
hypotheses are:
[tex]H_0 : \mu_d \geq -3\\\\H_a : \mu_d < -3\\\\[/tex]
degree of freedom:
[tex]df=n-1=8-1=7[/tex]
From t table, at[tex]\alpha = 0.05[/tex], reject null hypothesis if [tex]t <-1.895[/tex].
test statistic:
[tex]t=\frac{\bar{d}-\mu_d }{\frac{s_d}{\sqrt{d}}}=\frac{ -4.125- (-3)}{\frac{1.246}{ \sqrt{8}}} =-2.55[/tex]
because the [tex]t=-2.553 <-1.895[/tex], removing the null assumption. Data promotes a food product manufacturer's assertion with a likelihood of Type 1 error of 0.05.
For point b:
From t table, at [tex]\alpha =0.01[/tex], removing the null hypothesis if [tex]t<-2.998[/tex].
because [tex]t=-2.553 >-2.908[/tex], fail to removing the null hypothesis.
The data do not help the foodstuff producer's point with the likelihood of a .01-type mistake.
For point c:
Hypotheses are:
[tex]H_0: \mu_d \geq -5\\\\H_a: \mu_d < -5[/tex]
Degree of freedom:
[tex]df=n-1=8-1=7[/tex]
From t table, at [tex]\alpha =0.05[/tex], removing the null hypothesis if [tex]t <-1.895[/tex].
test statistic: [tex]t=\frac{\bar{d}-\mu_d}{\frac{s_d}{\sqrt{n}}} =\frac{-4.125-(-5)}{\frac{1.246}{\sqrt{8}}}=1.986[/tex]
Since [tex]t-1.986 >-1.895[/tex], The null hypothesis fails to reject. The results do not support the packaged food producer's claim with a Type 1 error probability of 0,05.
From t table, at[tex]\alpha= 0.01[/tex], reject null hypothesis if[tex]t<-2.998[/tex].
Since [tex]t=1.986>-2.998[/tex] , fail to reject null hypothesis.
Data do not support the claim of the producer of the dietary product with the probability of Type 1 error of .01.
Related Questions
Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.
Answers
On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
here,
the probability that event the dice will roll is 6
and chances of geting even numbers are = 3
so P(a/c) = 3/6 = 1/2
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Q.
The surface area of a cube is
37.5 cm². What is the area of
each side of the cube?
Answers
The total surface area of the cube will be 37.5 cm²
What is the surface area of a cube?A three-dimensional shape's surface area is the sum of all of its faces. Finding the area of each face and adding them together gives us the surface area of a shape.Surface area analysis refers to the measurement of a particle's available surface. It is important because it is the means by which a solid interacts with its surroundings, whether they are gases, liquid, or other solids.Here the edge of the cube is given
Edge = 2.5 cm
We have to find out the total surface area of the cube
Total surface area of cube = 6a², where a is the edge of the cube
= 6 × 2.5 × 2.5
= 37.5 cm²
Hence, the total surface area of the cube will be 37.5 cm²
The complete question is,
Find the surface area of a cube of Edge 2.5 CM
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Let us call a function f : A → R anti-continuous if it satisfies the following condition.
For every point x ∈ R there exists > 0 and δ > 0 such that for all y ∈ A
0 < |x − y| < δ =⇒ |f(x) − f(y)| > .
(a) Show that there exists an anti-continuous function f : Q → R.
(b) Show that there is no anti-continuous function f : R → R.
Answers
Answer:
Aye I've you caught now ya wee bastаrd
Step-by-step explanation:
The sides of a square are 7 inches long. Enter the length of the diagonal of the square to the nearest tenth.
Answers
Answer:
9.9 inches
Step-by-step explanation:
Use the pythagorean Theorem
c^2 = a^2 + b^2
c^2 = 7^2 + 7^2
c^2 = 49 + 49
c^2 = 98
Take the square root of both sides
c = 9.8994949366
Rounded
c = 9.9 inches
Solve 44>7+s+26. Graph the solution.
Answers
Answer:
44-31=13
so 13
Step-by-step explanation:
Write a proportion to find out how many X a student needs to score on the test to get the given score.
Test worth 25 points; test score of 80%
Answers
Answer
He needs to get 20 points
Step-by-step explanation:
80% is 4/5. 4/5 of 25 is 20
Drag the tiles to the core boxes to complete the pairs . Determine the tone of each example
Answers
Xx
X
Xncmxjx. Xnxnxjxnxnsjxjdx
20 points!!!! Which figure has only rotational symmetry?
Answers
Answer:
A
Step-by-step explanation:
The figure was turned 90 degrees
The figure was turned 90 degrees
Describe the shape of the data distribution.
Answers
Answer:
A.) negatively skewed
B.) Symmetric
C.) Positively skewed
Step-by-step explanation:
The shape of a distribution can be described in terms of the tail and peak of the distribution as Symmetric, left tailed or right tailed.
In the first graph; distribution is left tailed as we have a longer tail to the left Than to the right side of the distribution and the peak Hence, slightly shifting to the right.
The second graph on the other hand sees the peak being centered, at the centre of the distribution and the tails being even. Hence, we have a Symmetric or normal distribution.
The third is the opposite of the first with the tail being to the right and peak slightly shifting to the left to give a positive skew or right tailed distribution.
Determine the radius of convergence of the following power series.
Σ(-1)^k x^k/3^k
Answers
Answer:
(−1)kxk
Step-by-step explanation:
Therefore, the infinite series ∞∑k=11k does not converge.
(−1)kxk = 1 − x + x2 − x3 + ···. = ∞. ∑ k=0. (−x)k = 1. 1 − (−x). = 1. 1 + x ... 3. )k. = x. 1 − (x2/3). = 3x. 3 − x2 for |x2/3| < 1. 1.2 Radius of Convergence.
Find the first five multiples of the number write a multiple equation to show their multiple
Answers
The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is
5×1, 5×2, 5×3, 5×4, 5×5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Find the first five multiples of the number.
Let, The number be 5.
Therefore, The first five multiples of 5 is,
5, 10, 15, 20, 25.
And, the multiple equation is,
5×1, 5×2, 5×3, 5×4, 5×5.
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100 points!!!!
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions
. sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =
Answers
Answer:
I didn't unferstanf
Step-by-step explanation:
ok further of all I don't understand the question
✔ -15/17
cos(θ) =
✔ 8/17
tan(θ) =
✔ -15/8
csc(θ) =
✔ -17/15
sec(θ) =
✔ 17/8
cot(θ) =
✔ -8/15
Suponga que el monto promedio de compras por cliente de una empresa es de $128.45 y una desviación de $18.26
Answers
Answer:
Asumiendo que la distribución de las compras sea normal, tenemos:
_
x = 128.45
σ = 18.26
a)
x = 100
Normalizamos:
.......... _
z = (x - x) / σ
z = (100 - 128.45) / 18.26
z = -28.45 / 18.26
z ≅ -1.56
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).
Como preguntan P(x > 100), tenemos que
P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406
La probabilidad de que un cliente compre más de $100 es del 94.06%.
=======
b)
x = 150
Normalizamos:
.......... _
z = (x - x) / σ
z = (150 - 128.45) / 18.26
z = 21.55 / 18.26
z ≅ 1.18
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).
Como preguntan P(x > 150), tenemos que
P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190
La probabilidad de que un cliente compre más de $150 es del 11.90%.
=======
c)
x = 120
Normalizamos:
.......... _
z = (x - x) / σ
z = (120 - 128.45) / 18.26
z = -8.45 / 18.26
z ≅ -0.46
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).
Como preguntan P(x < 120), tenemos que
P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228
RESPUESTA:
La probabilidad de que un cliente compre menos de $120 es del 32.28%
The wall paper Jeff wants to use comes in rolls that are 1 yard wide and 10 yards long. How many square feet of wall paper are in each roll?
Answers
Answer:
Each roll of wallpaper has an area of 90 square feet.
Step-by-step explanation:
In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.
The width of each roll is 1 yard, and the length of each roll is 10 yards.
Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards
Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.
1 yard = 3 feet
So we need to multiply the area in square yards by the conversion factor, which is 9.
10 square yards = 10 square yard * 9 = 90 square feet
Therefore, each roll of wallpaper has an area of 90 square feet.
It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.
The difference between the roots of the equation 2x^2-5x+c=0 is 0.25. Find c.
Answers
What step should be taken to isolate the variable in the following
equation? 7d=49*
add 7 to both sides
subtract 7 from both sides
multiply 7 on both sides
divide 7 from both sides
Answers
Answer:
Divide 7 on both sides.
Step-by-step explanation:
Choose the correct anwer
Answers
Answer:
1/0 and the second answer
Step-by-step explanation:
A Irrational number is when a number cant be expressed in p/q when q isn’t 0 and in 1/0 q is 0 making it irrational
would be amazing if you marked this brainliest
5800 dollars is placed in an account with an annual interest rate of 9%. To the nearest tenth of a year, how long will it take for the account value to reach 17600 dollars?
Answers
Please can someone help me!!!!!
Answers
Answer:
Your answer for both is 31 degrees
Step-by-step explanation:
Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.
First you do
82+67 = 149
Take that answer and minus it by 180
180-149 = 31
Answer:
*Using < for angle symbol*
m<E= 61 degrees
m<G= 119 degrees
Step-by-step explanation:
Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.
Hope this helps! Have a nice day :)
Jim Clinnin purchased a used RV with 18,500 miles for $46,400. originally the RV sold for $67,500 with a residual value of $19,500. After subtracting the residual value, depreciation allowance per mile was $0.79. How much was Jim's purchase price over or below the book value?( input the amount as positive value.)
Answers
Answer:
Jim bought the used RV at a price of $ 6,485 under its book price.
Step-by-step explanation:
Given that Jim Clinnin purchased a used RV with 18,500 miles for $ 46,400, and originally the RV sold for $ 67,500 with a residual value of $ 19,500 and, after subtracting the residual value, depreciation allowance per mile was $ 0.79, to determine how much was Jim's purchase price over or below the book value the following calculation must be performed:
18,500 x 0.79 = 14615
67,500 - 14,615 = X
52.885 = X
52,885 - 46,400 = 6,485
Therefore, Jim bought the used RV at a price of $ 6,485 under its book price.
help me please I have no clue
Answers
Answer:
x = 12.8
Step-by-step explanation:
i use this calculator to find triangle measurements as long as you know like three values it works
https://www.calculator.net/triangle-calculator.html?vc=90&vx=&vy=10&va=38&vz=&vb=&angleunits=d&x=79&y=19
ik sending a link is hecka sus but you can just look up triangle calculator and it'll pop up
3 Dylan needs to buy new contact lenses. His ophthalmologist sells 8-lens boxes in
packs of 2 for $52 and 10-lens boxes in packs of 4 for $120. Which option is the
better deal?
Answers
Answer:
Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.
Step-by-step explanation:
Answer:
he should buy the 10-lens boxes in packs of 4 for $120
Step-by-step explanation:
5x -2y = 1, 5x -6y = b
what is the value of b so that it has no solution
Answers
Answer:
DNE
Step-by-step explanation:
You want the value of 'b' so that the system of equations has no solution.
5x -2y = 15x -6y = bNo solutionIn order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.
SlopeThe slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.
The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.
There is no value of 'b' that will make this system have no solution. It does not exist (DNE).
7. A group of friends orders pizza at a restaurant. Each person gives some money to Chris before they order.
a. Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group can order and not go over $63? Explain your reasoning.
b. Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Explain.
Answers
The answer to B is: 53.55$ because 15% of 63$ is 9.45$ so once again do the same thing you did to A and take away 9.45$ from 63$ and you get 53.55
I need the answer fast it’s a simple one
Answers
Answer:
on average, how many plants do the students in your class have at home
Step-by-step explanation:
there is more than one answer
B is the correct answer
Step-by-step explanation:
It can be answered by collecting data.
What is the constant of proportionality for the data shown in the table?
Answers
1 : 2.5 is the constant proportionality.
1 (× 2) : 2.5 (× 2) = 2 : 5
1 (× 4) : 2.5 (× 4) = 4 : 10
1 (× 6) : 2.5 (× 6) = 6 : 15
1 (× 8) : 2.5 (× 8) = 8 : 20
How man minutes will it take to make and pack an order for 36 parts show your work
Answers
Complete question :
The time taken to make and pack an order represented by the equation ; 2x + 10. How man minutes will it take to make and pack an order for 36 parts:
Answer:
82 minutes
Step-by-step explanation:
Time taken to make and pack an order : 2x + 10
To pack 36 orders ; put x = 36 in the equation :
= 2(36) + 10
= 72 + 10
= 82
82 minutes is required to make and pack an order for 36 parts.
Answer:
2x + 10
= 2(36) + 10
= 72 + 10
= 82
It will take 82 minutes to make and pack an order for 36 parts.
Step-by-step explanation:
Got it right :)
Please mark brainliest
Help me please?!?!? Giving brainly!
Answers
Answer:
Multiply input by 4.
Step-by-step explanation:
So, all we have to do is find the difference between the input/output.
So for the first one.
4y=1x
Divde both sides:
1y=1/4x
Next we have 16y=4x
Divide both sides:
1y=1/4x
Ok, so we now know that y is 1/4x
Or in otherwords, 4x is 1y.
Remember x is input, and y is output.
So we can think of this as the input times 4 equals the output.
This seems to be the second answer.
Hope this helps!
Answer:
Second option: multiply input number by 4.
Step-by-step explanation:
You need to remember that the "input numbers" are the values of "x" and the "output numbers" are the values of "y".
You can observe in the table that each output number is always four time its corresponding input number. This means that to find the missing numbers on the given table, you need to multiply the corresponding input number by 4.
Therefore, you get:
For : x=3
y=4x
y=4(3)
y=12
For : x=6
y=4x
y=4(6)
y=24
Which is MOST LIKELY to occur, based on the given probability?
If you cannot see, zoom in and I apologize for the blurriness.
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever gets the correct answer will get BRAINLIEST! :)
Answers
Answer:
Option D would be the correct answer
Hope this helps!
The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of
milk has 25% of the recommended daily allowance of calcium. How many milligrams of
calcium are in a cup of milk? If you get stuck, consider using the double number line.
what's the answer pls tell me
Answers
Answer:
300 milligrams are in aa cup of milk.
Step-by-step explanation:
.25 x 1200 = 300