The calculation of the probability and interpretation of the difference in mean and the relation to level of significance between and the treatment and control groups are as follows;
Question 1; Part A
The probability that the treatment group mean is greater than the control group mean by 8 points or more is 3.6%
The completed statement is as follows;
The significance level is set at 5%, and the probability of the result is 3.6%, which is lower than significance level. The result is statistically significant
Part B
The result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate
Question 2; Part A
The probability of the treatment group mean is lower than the control group mean by 15 points or more is 7.8%
The completed statement is as follows;
The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant
Part B;
The result is not statistically significant which implies that wearing a watch does not make people manage their time better
The reason for the above solutions is as follows;
Question 1;
The known parameters;
The significance level of the test, α = 5%
The frequencies of the difference in mean between the treatment and control groups given in the table
The number of randomizations, ∑f = 1,000
The required parameter
The probability of the treatment group mean is greater than the control group mean by 8 points or more
The significance of the result
The comparison between the given level of significance and the probability
Method
We find the probability for the required difference in mean from the data given in the table
The probability that the treatment group mean is greater than the control group mean by 8 points or more is given by the following formula;
[tex]\mathbf{P(8 \ or \ more) = \dfrac{\sum f(8 \ or \ more)}{\sum f}}[/tex]
From the table, we have;
∑f(8 or more) = 26 + 8 + 2 = 36
∑f = 1 + 10 + 28 + 58 +...+ 114 + 57 + 28 + 8 + 2 = 1,000
Therefore;
[tex]P(8 \ or \ more) = \dfrac{36}{1,000} = 0.036 = 3.6\%[/tex]
The probability, P(8 or more) 3.6%
Given that the significant level, α = 5% is higher than the probability of 3.6%, the result is statistically significant
Part B
The true statement is that the result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate
Question 2;
The known parameters are;
The significance level of the test, α = 5%
The frequencies of the difference in mean between the treatment and control groups given in the table
The number of randomizations, ∑f = 1,000
The required parameter
The probability of the treatment group mean is lower than the control group mean by 15 points or more
The significance of the result
The comparison between the given level of significance and the probability
Method
Using the method from Question 1, we have;
Part A
[tex]\mathbf{P(15 \ or \ more) = \dfrac{\sum f(15 \ or \ less)}{\sum f}}[/tex]
From the table, we have;
∑f(15 or more) = 50 + 18 + 10 = 78
∑f = 10 + 18 + 50 + 127 + 195 + 226 + 180 + 117 + 48 + 17 + 12 = 1,000
Therefore;
[tex]P(15 \ or \ more) = \dfrac{78}{1,000} = 0.078 = 7.8\%[/tex]
The probability, P(15 or more) = 7.8%
Given that the significant level, α = 5% is lower than the probability of 7.8%, the result is not statistically significant
Therefore, we have;
The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant
Part B
The true statement is that the result is not statistically significant which implies that wearing a watch does not make people manage their time better
Learn more about hypothesis testing here;
https://brainly.com/question/4232174
Question 1;
Part A
The significance level is set at 5%, and the probability of the result is 3.6%, which is less than the significance level. The result is statistically significant
Part B
A) The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Question 2;
Part A
The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is NOT statistically significant
Part B;
B) The result is not statistically significant, which implies that wearing a watch does not help people manage their time better.
Please help its due in 30 minutes will mark braniliest
Answer:
Step-by-step explanation:
It's a ray. A ray has 1 fixed point. The other end of the ray goes on forever, just as this diagram shows.
Consider the following polynomial expression: 4x5 - 16x2 + 13x8.
Part D: what is the leading term ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]13x^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]4x^5 - 16x^2 + 13x^8[/tex]
The leading term contains the highest power of 'x'.Since 8 is greater than 5 and 2, the leading term in the give in polynomial would be [tex]13x^8[/tex].⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A trapezoid is a polygon that has exactly one pair of parallel sides.
Select one:
True
False
false dsddsfsdfsfdfdsfdsdfsdfsdsfdfsfdsdfsdfsdfsfdsfd
Find the ratio of 5 degree and (pi/6)^c
Cylinder A has a radius x and height y. Cylinder B has radius y and height x. What is the ratio of the volume of Cylinder A to the volume of cylinder B
Answer:
Step-by-step explanation:
Draco is a daddy’s boy
Solve for x. Round your answer to the nearest tenth if necessary.
X=
Answer:
7.2
Step-by-step explanation:
Since the angle is equal, 24/(x+8.7)=13.1/8.7. x=7.2
Answer:
x ≈ 7.2
Step-by-step explanation:
Δ MNO and Δ MKL are similar, so the corresponding sides are in proportion, that is
[tex]\frac{MN}{MK}[/tex] = [tex]\frac{MO}{ML}[/tex] , substitute values
[tex]\frac{13.1}{13.1+10.9}[/tex] = [tex]\frac{8.7}{8.7 +x}[/tex]
[tex]\frac{13.1}{24}[/tex] = [tex]\frac{8.7}{8.7+x}[/tex] ( cross- multiply )
13.1(8.7 + x) = 208.8 ← distribute left side
113.97 + 13.1x = 208.8 ( subtract 113.97 from both sides )
13.1x = 94.83 ( divide both sides by 13.1 )
x = [tex]\frac{94.83}{13.1}[/tex] ≈ 7.2 ( to the nearest tenth )
[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]
Answer:
x = 8/3
Step-by-step explanation:
Copy the right side of the given to the right side of the equation.
sqrt(x - 5) = sqrt(3 - 2x) Square both sides.
x - 5 = 3 - 2x Add 2x to both sides
2x + x - 5 = 3 Combine
3x - 5 = 3 Add 5 to both sides.
3x = 3 + 5 Combine
3x = 8 Divide by 3
x = 8/3
Write a function rule for table
Is it a, b, c or d?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
The triangle below is equilateral. Find the length of side x in simplest radical form
with a rational denominator.
12
Answer:
4sqrt(3)
Step-by-step explanation:
If the triangle is equilateral, the hypotenuse is 2x
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 12^2 = (2x)^2
x^2 + 144 = 4x^2
144 = 4x^2 -x^2
144 = 3x^2
48 = x^2
Taking the square root of each side
sqrt(48) = sqrt(x^2)
sqrt(16*3) = x
4 sqrt(3) =x
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association. Jaylen concluded that the number of dogs causes an increase in floor cleaner usage. Is Jaylen's conclusion valid? Explain.
Answer:
Jaylen's conclusion is not valid because association does not imply causation.
Step-by-step explanation:
The number has 2022 digits 7 when divided by 15, what is the decimal part of the quotient?
Answer:
7 is divided by 15 =0•4666666667
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
C
Step-by-step explanation:
E's coordinates are (-2,-4). When you will reflect the point about y axis, the new coordinates will be (2,-4)
Answer: C (2,-4)
Step-by-step explanation:
simplify : 2(3+a)+4=36
Answer this please and the first person to do it will get Branilest !! Don’t forget to explain
Answer:
[tex]3g + 9g = - 48 \\ 12g = - 48 \\ g = - \frac{48}{12} \\ g = - 4 \\ \\ - 4m - 6m - 30 = - 80 \\ - 4m - 6m = - 80 + 30 \\ - 10m = - 110 \\ m = \frac{ - 110}{ - 10} \\ m = 11 \\ \\ 12 = - 8n - 24 - 4n \\ 12 + 24 = - 8n - 4n \\ 36 = - 12n \\ n = \frac{36}{ - 12} \\ n = - 3 \\ \\ 5y + 2y + \frac{1}{2} = - \frac{1}{2 } \\ 5y + 2y = - \frac{1}{2} - \frac{1}{2} \\ 7y = - 1 \\ y = - \frac{1}{7} \\ \\ 22x + 0.25 - 16x = 0.85 \\ 22x - 16x = 0.85 - 0.25 \\ 6x = 0.6 \\ x = \frac{0.6}{6} \\ x = 0.1 \\ \\ 17k + 6k + 11 = 80 \\ 17k + 6k = 80 - 11 \\ 23k = 69 \\ k = 3[/tex]
upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?
The Annuity payment will be "65,209.35 Taka". A further solution is provided below.
Given:
Monthly payment,
= 3000 Taka
Interest rate,
= 6% (compounded monthly)
Time,
= 18 years
The Future value will be:
→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]
By putting the values, we get
[tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]
[tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]
[tex]=1,162,059.58 \ Taka[/tex]
hence,
The Annuity payment will be:
→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]
[tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]
By substituting all the values, we get
[tex]=65,209.35 \ Taka[/tex]
Thus the correct answer is "65,209.35 Taka".
Learn more the Annuity payment here:
https://brainly.com/question/8462185
If the vertex of an isosceles triangle measures 46°, what is the measure of it’s base angles?
Answer:
67°
Step-by-step explanation:
let the base angle=x
x+x+46=180
2x=180-46=134
x=134/2=67
What is the measure of m?
6
3
18
n
m =
=
[?]
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
Geometry, please answer question ASAP
Answer:
x = 60
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360 degrees.
So if we sum up all the given angles, we would get this equation:
2x + x + 90 + 90 = 360
which simplifies to
3x + 180 = 360
subtract 180 from both sides
3x = 180
divide both sides by 3
x = 60
Answer:
Below!
Step-by-step explanation:
Since all angles in this shape add up to 360, I used this formula to find x
360 = 90 + 90 + x + 2x
360 = 180 + 3x
180 = 3x
Divide both sides by 3
60 = x
You can check to see if this works
90 + 90 + 60 + 120 = 360
Hope this helps!
could anyone help with this tyy!
Part IV: Sketch the graph of y = x2 - 9x + 20. Identify the vertex and x- and y-
intercepts on your sketch. (3 points)
intercepts
y = x^2 - 9x + 20
y = (x - 5)(x - 4)
x-ints at (5, 0) and (4, 0)
y = (0 - 5)(0 - 4)
y = 20
y-int at (0, 20)
vertex
y = 1x^2 - 9x + 20
-b / 2a = 9/2(1)
vertex (4.5, y)
y = (x - 5)(x - 4)
y = (4.5 - 5)(4.5 - 4)
y = -0.5(0.5)
y = -0.25
vertex (4.5, -0.25)
i recommend using desmos if in the future you need help
8x(x-2017)-2x+4034=0
Answer:
¼ và 2017
Step-by-step explanation:
What is the leading coefficient of 8 -5x+x^3-2x^4
Answer:
-2
Step-by-step explanation:
8 -5x+x^3-2x^4
Write the polynomial from highest power of x to lowest power of x
-2x^4+x^3-5x+8
The leading coefficient is the number in front of the highest power of x
-2
root 6 x root 8 is equal to
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]4\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] x [tex]\sqrt{8}[/tex]
Answer:
4 root 3 is the answer
Step-by-step explanation:
hope its help
Find the value of a.
If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.
Answer:
True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.
Lainey runs a string of lights from the ground straight up a door that is 2.5 m tall. Then he runs the rest of the string in a straight line to a point on the ground which is 6 m from the base of the door frame. There are 10 lights per meter of the string. How many total lights are on the string?
Answer:
150 because 2.5 × 6 = 15 × 10 = 150
write brackets () in this statement to make it correct 6 + 4 x 5 - 3 = 14
Answer:
6+4*(5-3)
Step-by-step explanation:
Because of PEMDAS l, we first solve in the parantheses. So 5-3 would be 2, then we multiply 2 by 4 which would be 8 obviously. Then we do the final step, add 6 and 8 which would be 14. Cheers!
Answer: 6 + 4 × (5-3)
Explanation:
6 + 4 × (5-3) = 14
6 + 4 × 2 = 14
6 + 8 = 14
14 = 14
Must click thanks and mark brainliest
What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
Which expressions are equivalent to 2 (5x - 3/4)? click two or more answers
A) -2 (5x) + (-2) (-3/4)
B) -10x - 3/4
C) -10x + 6/2
D) -10x + 3/2
E) -10x - 6/2
please help me is for my homework
Answer:
33.33%
Step-by-step explanation:
do divide 3÷9 and that is .333333333
and to convert a decimal to a percent you move the dot two number back so you get 33.33%
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
