Answer:
a) Dependent
b) H0: µd = 0
Ha: µd > 0
c) Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data
Step-by-step explanation:
Using values found in MINITAB 19
a) The samples are dependent and this is because the title of the test is the same ( i.e. A group of students given the LSAT )
b) Appropriate hypothesis
H0: µd = 0
Ha: µd > 0
c) The Minitab procedure to be used to test the hypothesis is
click on Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data to create a probability plot
In order to compare the performance of students in large enrollment and small enrollment sections, 35 students from large sections and 35 students from small sections of a freshman mathematics course were randomly selected. The mean and sample standard deviation of grades on the common final exam for the students from large sections were 72.8 and 7.4; for the students from small sections, the mean and standard deviation were 75.3 and 6.8. A 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about:
Answer:
The 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about (-5.3, 0.3).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
35 students from large sections. The mean and sample standard deviation of grades on the common final exam for the students from large sections were 72.8 and 7.4;
This means that:
[tex]\mu_L = 72.8, s_L = \frac{7.4}{\sqrt{35}} = 1.25[/tex]
35 students from small sections. For the students from small sections, the mean and standard deviation were 75.3 and 6.8.
This means that:
[tex]\mu_S = 75.3, s_S = \frac{6.8}{\sqrt{35}} = 1.15[/tex]
Distribution of the difference in the mean common final exam scores between students in the two types of sections:
Has mean and standard error given by:
[tex]\mu = \mu_L - \mu_S = 72.8 - 75.3 = -2.5[/tex]
[tex]s = \sqrt{s_L^2+s_S^2} = \sqrt{1.25^2 + 1.15^2} = 1.7[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = zs = 1.645*1.7 = 2.8[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is -2.5 - 2.8 = -5.3
The upper end of the interval is the sample mean added to M. So it is -2.5 + 2.8 = 0.3
The 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about (-5.3, 0.3).
HELP ME PLEASEEEEEEEEE
0/25 is 0. 5/10 is 0.5 3/4 is 0.75 2/3 is 0.66666
What is the volume of the rectangular solid below?
Answer:
16 cubic units
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In triangle ABC,
m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.As, the sum of all the angles of triangle is equal to the 180 degree. Thus,
[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]
Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
Learn more about the triangle angle sum theorem here;
https://brainly.com/question/7696843
#SPJ2
(4x - 20) I really need help on this
Answer:
-80
Step-by-step explanation:
To find x, set the equation equal to zero
4x-20=0
the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both
4x=20
now you can divide by 4 to get x by itself, again divide both sides of the equation
4x/4=20/4
x=5
After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:
4(5)-20=0
20-20=0
Hope this helps :)
Please hurry I really need this to be answered
Answer:
The answer is (C) BFD
Step by step
We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.
Need ASAP I’ll mark brainliest if right
Answer:
616 in²
Step-by-step explanation:
14 × 14 × 22/7
=> 616
Answer:
616 inches squared
Step-by-step explanation:
14 × 14 × 22/7
=> 616
Find the measure of arc DHG
Answer:
128
Step-by-step explanation:
PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
Continuation of the other six questions find the value of eggs and tangent 
Answer:
Step-by-step explanation:
1) ?
I can't see what that one given angle is .. but it's that mystery angle subtracted from 180 give the angle BOA then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of 180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90 to find the angle BAX
2) ( as we would read normally)
You're making this really tough on me.. I can just barely read the equations
I think it's 1+6x and 7x-3 . b/c they are the same length sides you can set those equal
1+6x = 7x -3
4+6x = 7x
4 = x
that worked out well :
for the tangent.. it's Tan(Ф)= Opp/ Adj
but I don't know which side they want to solve for.. I think you may have left off some of the instructions???? :/
ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.
1+6(4) = 25
or
7(4)-3=25
tangent is 25
3)
x-2 = 2x-10
x+8 = 2x
8 = x
again they made it work out easy :)
Then plug 8 into either equation to find the length of the tangent lines
8-2=10
tangent is 10
4) = 2) ??? they are the same question maybe you meant to put something else?
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?
A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3
Answer:
B
Step-by-step explanation:
Kinda hard to explain but I'm pretty sure it's B
A. 2 in
B. 4 in
C. 8 in
D. 16 in
X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3 ft
Any know the answe
Answer: 67.7ft²
Step-by-step explanation:
Note that a heptagon has 7 sides.
The area of a heptagon is given as:
= 1/2 × nsr
where,
n = number of sides = 7
s = length of side = 4.3ft
r = apothem= 4.5ft
Area of the heptagon = ½nsr
= ½ × 7 × 4.3 × 4.5
= 135.45/2
= 67.7ft²
Therefore, the area of the heptagon is 67.7ft²
PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)
Answer:
-4-2/-1-1=-6/-2= 3
So the answer is 3
If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis
Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP - Add to the y-coordinate.
Units DOWN - Subtract from the y-coordinate.
Units RIGHT - Add to the x-coordinate.
Units LEFT - Subtract from the x-coordinate.
--------------------------------------------------------------------------------------------------------------
In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)
can you come up with a rule for what happens to the signs when you reflect a point across both axes?
→ When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).
→ If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Hope it helps!!
Answer:
(a,b) ⇒ (-a,-b)
Step-by-step explanation:
When you reflect over the x-axis, the y-value changes sign.
When you reflect over the y-axis, the x-value changes sign.
So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)
(I've also attached a table that's handy for other reflections if you're curious)
One positive number is 9 more than twice another. If their product is 731, find the numbers.
Answer:
361
Step-by-step explanation:
What is the value of the second quartile
Answer:
the value is 20 out of 100
Step-by-step explanation:
Help ASAP
What is the highest common factor of 180 and 168
Answer:
Its 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
make a factor tree, find the product of the prime factors, it will be 12.
The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?
A 2 ft
B 1 ft
C3ft
D4ft
Answer:
2ft
Step-by-step explanation:
because perimeter of a rectangle formula is p=2(l+w)
The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.
Answer: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
Please help! Will give brainliest!
Don't give a like.
9514 1404 393
Answer:
fractiondenominatorproductnumeratorStep-by-step explanation:
When you multiply a fraction by a whole number, the denominator in the product is the same as the denominator of the fraction. The numerator in the product is the product of the whole number and the numerator of the fraction.
__
That's the rule. It is derived from the fact that multiplication indicates repeated addition.
[tex]\dfrac{2}{7}\times3=\dfrac{2}{7}+\dfrac{2}{7}+\dfrac{2}{7}=\dfrac{2+2+2}{7}=\dfrac{2\times3}{7}\qquad\text{for example}[/tex]
The table shows the number of apples and the total weight of the apples estimate the weight of 6 apples
Answer:
6 apples will weigh about 1,533 grams
Step-by-step explanation:
Set up an equation:
2
Variable x = weight of 6 apples
2/511 = 6/x
Cross multiply
2 × x = 511 × 6
2x = 3066
Divide both sides by 2
x = 1533
Check your work
2/511 = 6/1533
2 × 1533 = 511 × 6
3066 = 3066
Correct
Hannah is buying a shirt in a state where the sales tax is
6.25%. The price of the shirt is $14.99. By which number
should Hannah multiply $14.99 to determine the total sales
tax?
Answer:
The number is 0.0625
6 x [(6 x 2.3) + 3.9]
Answer:
106.2
Step-by-step explanation:
First, Multiply 6 and 2.3
6x2.3= 13.8
Once you found your product, add 13.8 and 3.9
13.8+3.9= 17.7
6 x 17.7= 106.2A right triangle has a hypotenuse of 18 feet and a side length opposite ∠A of 12 feet. What is the measure of ∠A to the nearest degree?
Answer:
∠A = 42°
Step-by-step explanation:
sin ∠A = 12/18 = 0.6667
∠A = 41.81°
Answer:
42 degrees
Step-by-step explanation:
Please help fast !!!!
2. 1/3
3.
a) 40
b)30 or 40
c) 110
Answer:
2. [tex]\frac{1}{3} = 33%[/tex]
3. A. [tex]\frac{1}{4} = 25[/tex]
B. [tex]\frac{1}{2} = 50[/tex]
C. [tex]\frac{4}{5} = 80[/tex]
Step-by-step explanation:
Hope this helps
Express in the form 1: n.
Give n as a decimal.
18:9
Answer:
n = 0.5
Step-by-step explanation:
Pls help if u cannnnnnnnnn
Answer:
V≈2144.66m³
Step-by-step explanation:
V=4 /3πr^3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³
Hope this helped!!!
Answer:
2143.57 m³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.573333...[/tex]
= 2143.57 m³ (rounded to the nearest hundredth)