The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:
D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.
The mean of the sampling distribution of p is of:
0.388.
The standard deviation of the sampling distribution of p is of:
0.0184.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:
The mean is [tex]\mu = p[/tex].The standard deviation is [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]The shape is approximately normal.As long as these two conditions are respected:
[tex]n \leq 0.05N[/tex][tex]np(1 - p) > 10[/tex]The values of the parameters in this context are given as follows:
N = 30000, n = 700, p = 0.388.
Hence the conditions are:
n/N = 700/30000 = 0.0233 < 0.05.np(1 - p) = 700 x 0.388 x 0.612 = 166 > 10.Then the shape is approximately normal and option D is correct.
The mean of the distribution is of:
[tex]\mu = p = 0.388[/tex]
The standard error of the distribution is of:
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
#SPJ1
is
In 5-8, apply Laws of Exponents to write
expressions.
5, efo
e²f
7.3j4k-2.7j5k9
uiva
-3
6. (2x)-3. (y)-³
8. aº.b6.b-3
By using the concept of law of exponents,the required answers are: 5) [tex]e^{-1} f^{-1}[/tex] and 8) [tex]b^{3}[/tex]
What is the law of exponents?According to this law of exponents, exponents of numbers are added, subtracted, multiplied, and divided when numbers get multiply, divide, and number raised by another exponents.
What are exponents?Exponents are the power of numbers, which tells us how many time a number multiply by itself.
we have,
5) [tex]\frac{ef^0}{e^2f}[/tex]
⇒ [tex]e^{1-2}f^{0-1}[/tex]
⇒ [tex]e^{-1} f^{-1}[/tex]
8) [tex]a^{0}b^{6} b^{-3}[/tex] ( [tex]a^{0}[/tex]=1 )
⇒ [tex]b^{6-3}[/tex]
⇒ [tex]b^{3}[/tex]
Hence, final answer are [tex]e^{-1} f^{-1}[/tex] and [tex]b^{3}[/tex]
To know more about law of exponents visit:
brainly.com/question/5497425
#SPJ13
which combination of factors is most likely to produce a significant value for an independent-measures t statistic? group of answer choices small samples and small variance small samples and large variance large samples and small variance large samples and large variance
large samples and small variance are combination of factors is most likely to produce a significant value in standard deviation .
What is standard deviation?
The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. The second, though, is obviously more dispersed.t = x - μ/s/√n
t = √n( x- μ)/s
t will be significant when its value will be higher .
so, the answer is large samples and small variance .
Learn more about standard deviation
brainly.com/question/16555520
#SPJ4
Sherry has 15,200 dollars to invest in mutual funds and in bonds. Sherry has selected a mutual fund that earns 1% a year and a bond that earns 4% a year. If she wants to earn 548 at the end of the first year, how much does she need to invest in each type of account?
please answer ! I’ll give brainliest mark thing.
Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.
According to the question,
We have the following information:
Amount to be invested = $15200
Interest earned 1% a year and 4% a year
Total amount interest to be earned at the end of first year = $548
Now, let's take the amount to be invested in 1% interest a year's mutual fund to be $x.
Then, we have the amount to be invested in mutual fund that earns 4% a year:
$(15200-x)
So, we have the following expression by removing percentage sign:
x/100 + (15200-x)4/100 = 548
Taking 100 as the least common factor and using the cross multiplication method:
x+60800-4x = 548*100
-3x = 54800-60800
-3x = -6000
x = 6000/3
x = $2000
Now, the amount invested in second mutual fund:
15200-2000
$13200
Hence, Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.
To know more about interest here
https://brainly.com/question/13655754
#SPJ1
The diagram Shows a square of side 8 cm and four congruent triangles of height Calculate the areanof one triangle.
The area of one triangle is 28 cm².
From the question, we have
area = 1/2*base*height
= 1/2*8*7
=28 cm².
Multiplication:
In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
$.
(b) (i) Annie invests $330 at a rate of 1.5% per year compound interest.
Calculate the amount that Annie has after 8 years.
Give your answer correct to the nearest dollar.
Answer: $372
Step-by-step explanation:
330 + (1.5% of 330) = 334.95
334.95 + (1.5% of 334.95) = 339.97425
339.97425 + (1.5% of 339.97425) = 345.073864
345.073864 + (1.5% of 345.073864) = 350.249972
350.249972 + (1.5% of 350.249972) = 355.503772
355.503772 + (1.5% of 355.503772) = 360.836392
360.836392 + (1.5% of 360.836392) = 366.248398
366.248398 + (1.5% of 366.248398) = 371.742124
Please thank and rate :)
The sum of the present ages of a brother and his younger sister is 16 years. If the product of their age is 63, find their ages.
Answer:
Let the age of brother be x and that of a sister be y.
(x+y) =16
(x) ×(y) =63
Using the substitution method, x=16-y
Substitute in equation 2
(16-y)(y)=63
16y-y^2=63
Y^2-16y+63=0
P=63
Sum= -16
Factor=(y-7),(y-9)
(y-7)(y-9)=0
Therefore y=7 or y=9
Therefore age of brother = 16-7 =9 0r 16-9=7
Therefore their ages are 9 years and 7 years
I NEED HELP WITH QUESTION 6!
URGENT!
DUE TODAY!!
90PTS!!!!!! WHOEVER WANTS THEM
please help will mark u brainliest
The expressions that are not polynomials are the second and third ones:
3 + 1/nq^(1/2) + 5Which expressions are polynomials?A polynomial is a lineal combination of terms of powers of variables, such that the exponents must be positive integers or zero.
So, for example, a polynomial of degree n is:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x + a₀
Where we also can have more than one variable.
Then, for example the first one:
-4p + 7
Is a polynomial of degree 1.
The options that are not polynomials are:
p(n) = 3 + 1/n
p(q) = q^(1/2) + 5
Which are the second and third options.
Learn more about polynomials:
https://brainly.com/question/4142886
#SPJ1
Answer:
Those are the answers
Step-by-step explanation:
3 + 1/n
q^(1/2) + 5
please help me
this is algebra
Answer:
The answer is 3.
Step-by-step explanation:
The highest coefficient is 3 (5x^3), the second one is 2 (4x), and the other two without coefficient are considered 1.
Please Help. Will mark brainliest for full explanation Image is attached.
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with a line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. (4 points)
Part B: How many positive and negative residuals are there? Explain your reasoning. (3 points)
Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data. (3 points)
A. The correlation coefficient is of 0.303.
B. There are six positive and four negative.
C. The point with the largest residual is (6,2).
What is correlation coefficient?By choosing the points (x,y) from the scatter plot and entering them into a calculator, the correlation coefficient can be calculated.
A) The coordinates of these points are:
(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).
Now, using Pearson correlation we have
X Values:
∑ = 34
Mean = 3.4
∑(X - Mx)² = SSx = 26.4
Y Values:
∑ = 39
Mean = 3.9
∑(Y - My)² = SSy = 16.9
So, when X and Y Combined
N = 10
∑(X - Mx)(Y - My) = 6.4
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 6.4 / √((26.4)(16.9))
r= 0.303
Hence, the correlation coefficient is 0.303
B) As, The difference between the observed value and the expected value, or residual, is determined as follows:
There are six positive residuals because the positive residuals are the spots above the line.There are four negative residuals because the negative residuals are the points below the line.C) The largest residual using absolute value is at the point is (6,2).
Learn more about correlation coefficients here:
brainly.com/question/16355498
#SPJ1
which expression correctly represents the area of triangle EFG?
a. 1/2 gf sin (F)
b. 1/2 ef sin (E)
c. 1/2 gf sin (G)
d. 1/2 ef sin (G)
1/2 ef sinG is the expression that correctly represents the area of triangle EFG. Select option d.
How to determine which expression correctly represents the area of triangle EFG?
Given: the triangle EFG as shown in the image
The formula for the Area of triangle is:
A = 1/2 × base(b) × height(h)
Area of EFG = 1/2 × f × h
Using trigonometric ratio:
sin G = h/e (opp. / hyp.)
h = e sin G
put h = g sin E into the Area of EFG:
Area of EFG = 1/2 × f × e sin G = 1/2 ef sin G
Therefore, the expression correctly represents the area of EFG is 1/2 ef sinG
Learn more about area of triangle on:
https://brainly.com/question/89544
#SPJ1
what value of x makes 1/2 (3x+ 4) = 1/2 x true
The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2
We have to simplify the given expression to find the value of x
1/2(3x + 4) = 1/2x
Cancel 1/2 from both sides
⇒ 3x + 4 = x
⇒ 2x = -4
⇒ x = -2
Hence, the value of x is -2 which makes the given expression true.
Learn more about value here
https://brainly.com/question/4806080
#SPJ1
if someone could help me out on this that would be great! (will mark brainliest if optional)
Answer:
(3, 6)
Step-by-step explanation:
I hope this helps you!
Help please I will give brainliest this is due in an hour!!!
Answer:
yes for helena: not sure for edwin
Step-by-step explanation:
for helena, it would be a 270 cc rotation and then scale
for edwin, again im not sure, but it could be a refection and then scale
A sphere has a diameter of 24 mm.
What is the volume of the sphere?
O 487 mm³
O 1927 mm³
O 23047 mm³
O I don't know.
The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Given:
A sphere has a diameter of 24 mm.
Radius r = diameter/2
= 24/2
r = 12 mm.
volume of sphere = 4/3π[tex]r^{3}[/tex]
= 4/3 * 22/7 * [tex]12^{3}[/tex]
= 88*[tex]12^{3}[/tex]/21
= 88*1728/21
= 152064/21
= 7241.142 m[tex]m^{3}[/tex].
Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Learn more about the volume of sphere here:
https://brainly.com/question/9994313
#SPJ1
we are exploring the following model for fireflies flashing: a firefly flips a biological equivalent of a coin every second. if it comes up heads (probability of 0.1) it lights up for that second; otherwise it does not. for a given firefly, what is the average number of flashes over a minute? what is the spread (standard deviation) of that number? if we have 1000 fireflies in our field of view, what is the expected number of flashes we will see in 10 seconds? if each flash is .1 lumens and we want 40 lumens at least 70% of the time, how many fireflies do we need? we are monitoring 100 fireflies and determine that the number of flashes per minute per firefly is about 7. is this consistent with our model?
Given,
The probability of head ups of a firefly = 0.1 = 10%
The average flashes per minute = 10% of 60 seconds = 6 flashes.The average flashes per minute is 6.
If there is 1000 fire flies, number of flashes in 10 seconds.1 firefly 6 flashes per minute = 0.1 flash per second
Then,
1000 × 0.1 = 100 flashes per second
100 × 10 = 1000 flashes per 10 seconds
There will be 1000 flashes per 10 seconds.
How many fireflies are required if each flash produces.1 lumens, and we aim for 40 lumens at least 70% of the time?Each flash = 0.1 lumen
40 lumens = 4 flash
70/100 = 0.7
0.7 x 4 = 2.8 = 3 fireflies.
There is 3 fireflies required to produce 40 lumens
Learn more about flashes here;
https://brainly.com/question/14333908
#SPJ1
A cartographer graphed the locations of a light house and all of the islands in the vicinity. He positioned the light house at (-7,9) and the farthest island at (61,9). If each
unit on the graph represents 1 mile, then how far away from the light house is the farthest island?
miles
The distance between the light house and the farthest island is 68 miles
The distance between the light house and the farthest island can be calculated by using the distance formula
The distance formula is d=√((x2 – x1)² + (y2 – y1)²).
d=√((61 – (-7))² + (9 – 9)²)
d = √(61 +7)²
d = 68
If each unit on the graph represents 1 mile
There are 68 units in the graph, so the light house is 68 miles away the farthest island
Therefore, The distance between the light house and the farthest island is 68 miles
To learn more about distance formula refer here
https://brainly.com/question/7243416
#SPJ9
HOW Does 1/6, -3, square root 7, -6/5 or 45 come first when the numbers are listed from lest to greatest. explain PLEASE EXPLAIN ME!!!!!!!!!!!!!!!! :C(
Answer:
- 3 comes first and the order is - 3, - 6/5, 1/6, √7, 45==========================
Given numbers1/6, - 3, √7, - 6/5, 45.Put these numbers in the ascending orderFirst, compare the negative numbers as they are smaller than positives since negatives are to the left from zero on the number line and positives are to the right.
- 3 vs - 6/5- 3*5/ 5 vs - 6/5- 15/5 vs - 6/5Since - 15 is smaller than - 6, the least number is - 3:
- 15/5 < - 6/5 ⇒ - 3 < - 6/5Now compare the positives.
1/6 is smaller than 1 as it is a fraction.√4 < √7 < √9 ⇒ 2 < √7 < 3, so √7 is between 2 and 3, hence greater than 1, therefore 1/6 < √7.And the greatest number is 45 as it is greater than 3.Therefore:
1/6 < √7 < 45The complete order is:
- 3, - 6/5, 1/6, √7, 45Answer:
-3 < -6/5 < 1/6 < √7 < 45
Step-by-step explanation:
Now the values will be,
→ 1/6 = 0.17
→ -3 = -3
→ √7 = 2.65
→ -6/5 = -1.2
→ 45 = 45
Let's arrange in ascending order,
→ -3, -1.2, 0.17, 2.65, 45
→ -3, -6/5, 1/6, √7, 45
Hence, number -3 comes first.
are these expressions equivalent
4(2a+7) and 8a +7
7y + 2y+y and 10y
8m-4m+4m and 8m
9e+2(e+5 and 11 +5
The equivalent expressions are 7y + 2y+y and 10y & 8m-4m+4m and 8m.
Other expressions are not equivalent
How to determine the equivalent expressions?Expressions 1
The expressions are given as
4(2a+7) and 8a +7
Open the brackets
8a+28 and 8a +7
The above expressions are not equal
Expressions 2
Here, we have
7y + 2y+y and 10y
Evaluate the like terms
10y and 10y
The above expressions are equal
Expressions 3
Here, we have
8m-4m+4m and 8m
Evaluate the like terms
8m and 8m
The above expressions are equal
Expressions 4
Here, we have
9e+2(e+5) and 11 +5
Open the brackets
9e+2e+10 and 11 +5
Evaluate the like terms
11e + 10 and 11 + 5
The above expressions are not equal
Read more about equivalent expressions at
https://brainly.com/question/15775046
#SPJ1
Use the diagram below for the expression x^2+10x+6 to answer the following questions?
What value needs to be added to x^2+10x+6 to complete the square?
Using your answer above rewrite the perfect square trinomial as a squared binomial?
The value needs to be added to x²+10x+6 to complete the square is 19.
What is Perfect square trinomials?Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)².
In the presented trinomial, we can immediately find that a = x, and b² = c,
We know that a = x, and , 2ab = 2bx.
Now, 2bx and 30x are corresponding terms, 2bx = 30x.
Take the coefficient of x = 10
Divide by 2
10/2 =5
Then Square it
5 x 5=25
Add this to make a perfect square trinomial;
x² + 10x + 25
In the given equation we need to add 19 to make the perfect square trinomial; x² + 10x + 25.
Learn more about perfect square;
https://brainly.com/question/385286
#SPJ1
Find the quadratic using the graph.
Step-by-step explanation:
the standard form is
f(x) = y = a(x - h)² + k
(h, k) are the vertex coordinates. here (-2, -9).
a is the stretch factor.
since the parabola opens upwards, a is positive.
so, we see already :
y = a(x + 2)² - 9
to get a we need an additional point on the curve. we see e.g. (1, 0) :
0 = a(1 + 2)² - 9 = a×3² - 9 = 9a - 9
9a = 9
a = 1
so, our standard form is
f(x) = (x + 2)² - 9
Above are two different models of the same triangle. If the area of the model on the left is 24 sq cm, what is the area of the model on the right?
A.
120 sq cm
B.
26.5 sq cm
C.
48 sq cm
D.
96 sq cm
The area of the model on the right is given by 96 sq cm
The correct answer option is option D.
What is a Model?A model represents a real object on a drawing paper.
Given that the model is triangular in shape, the model on the right is 2 times the model on the left.
Area of model on the left = 24 square cmTherefore, area of model on the left = area of model on the left × 2².
Area of model on the left = 24 × 4
Area of model on the left = 96 square cm.
Learn more about models on:
https://brainly.com/question/21969065
#SPJ1
One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.
Answer:
7^{2} + x^{2} = 16^{2}
49+x^2=256
x^2=207
x=14.387=14
Answer:
14 units
Step-by-step explanation:
To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.
Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.
Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:
[tex]\begin{aligned}a^2+b^2&=c^2\\a^2+7^2&=16^2\\a^2+49&=256\\a^2+49-49&=256-49\\a^2&=207\\\sqrt{a^2}&=\sqrt{207}\\a&=14.3874945...\\a&=14\;\sf(nearest\;whole\;number)\end{aligned}[/tex]
Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).
The temperature drooped 2F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
A football team loses 4 yards on each of 9 consecutive plays. Find the total change in yards from where the team started.
The total change in yards where the team started is 36 yards
How to determine the total change in yards?The given parameters in the question are:
Yards per play = 4 yards
Number of plays = 9 consecutive plays
The total change in yards is the amount of yard per play multiplied by the number of plays
This is represented as
Total change = Yards per play * Number of plays
Substitute the known values in the above equation So, we have the following equation
Total change = 4 * 9
Evaluate
Total change = 36
Hence, the total change is 36 yards
Read more about changes at
https://brainly.com/question/28309697
#SPJ1
A tree that is 10 feet tall casts a shadow that is 8 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.
9.4 feet
12.8 feet
3.2 feet
2.8 feet
The distance from the top of the tree to the tip of the shadow is 12.8 ft
Pythagorean theorem:
According to the Pythagorean theorem, In a right-angled triangle, the sum of the squares of the side will equal the square of the hypotenuse.
Here hypotenuse is the longest side.
=> Hoptenuse² = side² + side²
Here we have
The length of the tree = 10 feet
Length of shadow = 8 feet
Here we need to find the distance from the top of the tree to the tip of the shadow
If we join the top of the tree to the tip of the shadow we will observe a right-angled triangle as shown below
From the figure,
AC² = AB² + BC² [ ∵ ABC is right angle triangle ]
=> AC² = 10² + 8²
=> AC² = 100 + 64
=> AC² = 164
=> AC = 2√41
=> AC = 12.8 ft
Therefore,
The distance from the top of the tree to the tip of the shadow is 12.8 ft
Learn more about the Pythagorean theorem at
https://brainly.com/question/28361847
#SPJ1
Answer:
b) 12.8 feet
Step-by-step explanation:
Now we have to,
→ find the required distance.
Forming the equation,
→ x² = 10² + 8²
Then the distance will be,
→ x² = 10² + 8²
→ x² = 100 + 64
→ x² = 164
→ x = √164
→ [ x = 12.8 feet ]
Hence, distance is 12.8 ft.
Explain why AB and AC are equal in length
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180°
∠ B + 72° + 36° = 180°
∠ B + 108° = 180° ( subtract 108° from both sides )
∠ B = 72°
Then
∠ B = ∠ C = 72°
this means the 2 base angles in Δ ABC are congruent , then the triangle is isosceles with the 2 legs being congruent , that is
AB = AC
Provide all the necessary calculations to complete the following task.
Suppose AB has endpoints A(1,7) and B(5, 4) and DE has
endpoints D(-6, -2) and E(-2,-5). Use these coordinates to
show that DE is the result of a translation of AB.
Have at least 3 complete sentences.
AB has endpoints A (1, 7) and B (5, 4) and DE has endpoints D (-6, -2) and E (-2,-5). The translation is by the rule (x - 7, y - 9), is used to transform AB to DE
How to get the translation ruleTranslation is a type of transformation that involve a linear movement.
The translation rule is gotten by comparing the points as below
preimage point A (1, 7) and B (5, 4)
image points D(-6, -2) and E(-2,-5)
x coordinate
using point A and D = -6 - 1 = -7
using point B and E = -2 - 5 = -7
y coordinate
using point A and D = -2 - 7 = -9
using point B and E = -5 - = -9
Therefore the translation rule is (x - 7, y - 9) that got the image, point D and E from the preimage , point A and B
Learn more on translation here:
https://brainly.com/question/29321966
#SPJ1
Please help thanks, Which postulate can be used to prove the two triangles are congruent?
The postulate that can be used to prove the two triangles are congruent is the HL this is the last option
What is HL?HL is an acronym that means Hypotenuse Leg. The Hypotenuse leg theorem is used in proving angle congruency in right angle triangle.
The theorem says that, two angles of a right angle triangle that have equal
hypotenuse andany one legthen two triangles are congruent
The figure in the problem is a right angle triangle that is sharing same hypotenuse hence the hypotenuse is equal. and one other leg is marked to be equal
Therefore, this theorem says that the two triangle are congruent
Learn more on prove of angles here:
https://brainly.com/question/29247305
#SPJ1
a sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. in a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. conduct the appropriate hypothesis test using a 0.01 level of significance. a) what are the appropriate null and alternative hypotheses?
We accept the null hypothesis, according to which the average amount of trash per bin is equal to 50.
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.acc to our question-
A sanitation supervisor is interested in testing o see if the mean amount of garbage per bin is different from 50.This means that the null hypothesis is:And the alternate hypothesis is:The test statistic is:In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.50 tested at the null hypothesis:This means that In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.This means that Value of the test statistic:p-value:Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03z = 1.03 has a pvalue of 0.84851 - 0.8485 = 0.15152*0.1515 = 0.30300.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.learn more about hypothesis click here:
brainly.com/question/606806
#SPJ4