Paying a bill amount through the mail without check is convenient and secure, as it allows for payment without having to visit a physical location or use a credit or debit card.
1. Paying a bill amount through the mail without check is a convenient and secure way of making payments.
2. It allows for payment to be made without having to visit a physical location to do so.
3. It also allows for payment to be made without having to use a credit or debit card.
4. Therefore, an advantage of paying a bill through the mail without check is that it is convenient and secure.
Paying a bill through the mail without check is convenient and secure, as it allows for payment without having to visit a physical location or use a credit or debit card.
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A trampoline salesman makes $25,000 annually plus 6% commission on his total sales.
If he sold $40,000 worth of trampolines this year, what are his total earnings?
Answer:
$27,400.
Step-by-step explanation:
We know that the salesman makes $25,000 annually plus 6% commission on his total sales.
We also know that he sold $40,000 worth of trampolines this year.
So we can find out his commission by multiplying the value of sales with 6% commission rate.
Commission = 0.06 * $40,000 = $2400
To find out his total earnings we need to add his annual salary with commission earned.
Total earnings = $25,000 + $2400 = $27,400
So the salesman's total earnings for this year is $27,400.
Mary and Ryan each have some sweets.
The ratio of the number of sweets Mary has to the number Ryan has is 3:2
If Mary gave 5 sweets to Ryan they would have the same number of sweets.
Work out how many sweets Mary and Ryan have altogether.
Answer:
Let x be the number of sweets that Ryan has.
Since the ratio of the number of sweets Mary has to the number Ryan has is 3:2, we can say that Mary has 3/2*x sweets.
We know that if Mary gave 5 sweets to Ryan they would have the same number of sweets, so we can write the following equation:
3/2*x -5 = x
By solving this equation, we can find that x = 10. So, Ryan has 10 sweets
Therefore, Mary has 3/2*10 = 15 sweets.
Altogether, Mary and Ryan have 15+10 = 25 sweets.
Answer: 25
Step-by-step explanation:
3x - 5 = 2x, so
x = 5.
And 5x = 5*5 = 25
What is the slope represented in the table?
Answer:
add up variables and divide by 2
Question 4 a) The following table shows the distribution of voters in an electior. for class prefect. Name Acquaye Borquaye Commey Number of votes 6 12 18 i) Draw a pie chart to illustrate the information. ii) What fraction of the votes was cast for Borquaye?
A circle chart, often known as a pie chart, is a means to summarize a set of nominal data or a visual depiction of the many values of a particular variable (e.g. percentage distribution).
A circle is what?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about center at every angle. Every pair of vertices in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric the about center at every angle.
Here,
The pie chart is divided into sectors and segments, and each sector and segment corresponds to a specific amount of the overall (percentage).
The data is a representation of 360°. The pie is always valued at 100% overall.
A pie chart is useful for organising and displaying data by percentage of the total.
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let $s n$ be the sum of the reciprocals of the non-zero digits of the integers from to $10^n$ inclusive. find the smallest positive integer $n$ for which $s n$ is an integer.
If Sₙ denotes the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive , then the smallest positive integer n for which Sₙ is an integer is 63 .
The "Sₙ" be the sum of reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive ;
We Let [tex]K= \sum_{i=1} ^{9} \frac{1}{i}[/tex] ,
On further examination , we get that , [tex]S_{1} =K+1[/tex] ;
Since each digit "n" appears once and the number 1 appears for an extra time.
Now , we write S₂ .
So ,Each term of K will appear 10 times in the units place and 10 times in the tens place ,
So , we get [tex]S_{2} = (n10^{n-1})K+1[/tex] ; and there are total "n" places ;
The denominator of K is written as [tex]D=2^{3} .3^{2} .5.7[/tex] .
For Sₙ to be an integer, [tex]n10^{n-1}[/tex] must be divisible by D , we must select "n" to be divisible by [tex]3^{2} .7[/tex] .
And since need to find the smallest integer "n" , So , the n is [tex]3^{2} .7 = 63[/tex] .
Therefore , For Sₙ to be an integer , the smallest positive integer n is 63 .
The given question is incomplete , the complete question is
Let Sₙ be the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive. find the smallest positive integer n for which Sₙ is an integer .
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(a) write the joint density f(x, y). (b) find e(ax by c). (c) find e[x2 ]. (hint: use the variance identity.) (d) find var(ax by c).
i) Joint density distribution function is given as
f(x,y) = 1/2Πσ1σ2 exp[(-1)/2 {((x-µ1)^2)/(σ1^2)+ ((y-µ2))/(σ2^2)}]
ii) E(aX + bY + c) = aµx + bµy + c iii) E(X^2) = σx^2 + µx^2
We have been given that, X ~ N(µx , σx^2) and Y~ N(µy , σy^2)
and X and Y are independent that is
ρ = 0
Note that the joint density function of two normal distribution is known as bivariate normal distribution which is given as
(X , Y) ~ BVN(µ1 , µ2 , σ1^2 , σ2^2 , ρ)
And whose joint density function is
f(x,y) = 1/(2Πσ1σ2√(1-ρ^2)) exp[(-1)/(2(1-ρ^2)) {((x-µ1)^2)/(σ1^2)-2ρ (x-µ1)(y-µ2)/σ1σ2+ ((y-µ2))/(σ2^2)}]
Where ρ = correlation coefficient of (x,y)
i) Joint density function of given X and Y which follows
(X , Y) ~ BVN(µx , µy , σx^2 , σy^2 , 0) is given as
f(x,y) = 1/2Πσ1σ2 exp[(-1)/2 {((x-µ1)^2)/(σ1^2)+ ((y-µ2))/(σ2^2)}]
ii) E(aX + bY + c) = aE(X) + bE(Y) + c
= aµx + bµy + c
iii) E(X^2) = V(X) + [E(X)]^2 {V(X) = E(X^2) - [E(X)]^2}
= σx^2 + µx^2
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if you knew a student's overall act score, would you be more confident predicting that student's score on the algebra test or their satisfaction with first-semester classes?
Algebra test because the correlation is higher.
What does a statistical correlation mean?
A statistical metric known as correlation, which is given as a number, describes the strength and direction of a relationship between two or more variables.
Although there may be a correlation between two variables, this does not necessarily imply that the change in one variable is what led to the change in the values of the other variable.
Why correlation, you ask?
In common conversation, we use the word correlation to describe situations where two or more items seem to be connected.
In the field of analytics, correlations are certain numbers that are computed to express how closely related variables are to one another.
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On the double number line, 3 minutes corresponds to 180 beats.
0 ? 120 180 240 300
Beats:
Minutes:
0 1
2
3
4
5
How many beats are there in 3 minutes? Type your answer as a number.
Three minutes equal 180 beats on the double number line. three minutes of 270 beats 2:180=90 , 3:270=90
How many beats are in 3 minutes ?In music, a beat is a pulse that occurs repeatedly. Simple meters are those in which the beat first breaks into two, and subsequently into four. There are two beat groups in double meters, three beat groups in triple meters, and four beat groups in quadruple meters.
For double, triple, and quadruple meters, there are several conducting patterns. One group of beats equals one measure (duple, triple, or quadruple). Bar lines divide the measures. Simple meters' time signatures specify two things: the beat unit, or note value that represents the beat, and the number of beats in each measure (the top number). Notes are graphically grouped by beat and connected by a beam.
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your roommate has six pets (fish, cat, turtle, dog, rock, and pony). he will take three of his six pets with him as he skips town and leaves you to pay rent. how many different collections of pets can he take if he cannot take both the dog and the cat (because they will fight like cats and dogs)?
The total number of different collections of pets your roommate can take is 10 + 10 = 20.
In this scenario, your roommate has two options for which pets to take with him: either the dog or the cat. If he takes the dog, he can take any two of the remaining five pets (fish, turtle, rock, pony). There are 5 choose 2 = 10 ways for him to do this. If he takes the cat, he can take any two of the remaining five pets (fish, turtle, rock, pony, dog). There are 5 choose 2 = 10 ways for him to do this.
Therefore, the total number of different collections of pets your roommate can take is 10 + 10 = 20.
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What is a 2 factor graph theory?
In graph theory, a 2-factor is a subgraph of a given graph that includes every vertex of the original graph and has the property that every vertex has even degree (i.e. degree is a multiple of 2).
The term "2-factor" is used because it is a factor of the original graph that is made up of edges and every vertex has degree 2.
A 2-factor can also be defined as a set of cycles that cover all vertices of the graph. In other words, it is a collection of cycles such that every vertex belongs to exactly one cycle. A 2-factor can also be thought of as a cycle cover of a graph.
A graph that has a 2-factor is called a 2-factorizable graph. Not all graphs are 2-factorizable, for example a graph with an odd number of vertices can't have a 2-factor.
2-factors have many applications in various fields such as scheduling, coding theory, and computer science. They are also used to study the connectivity and robustness of graphs.
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Can absolute value equal zero?
Answer:
yes
Step-by-step explanation:
The absolute value is only greater than or equal to zero.
1) Why were the colonists upset with the new taxes that Great Britain passed prior to the American Revolution
This implied that they were unable to rule themselves and establish their own rules. The king demanded that they pay enormous taxes.
They believed they were contributing taxes to an unrepresentative administration. They were also upset that the colonists had to allow the British soldiers to eat and sleep in their residences.
The colonists of America formed a protest in response to the actions of Parliament. A network of covert organizations called the Sons of Liberty was established throughout the colonies with the intention of scaring the tax collectors for Parliament. migrated to America because they wanted political liberty. They desired both economic opportunity and religious freedom. Self-government and individual liberties are valued in the United States.
Because the colonists opposed the British,
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solve the simultaneous equation :
x² + y² = 18
x + 2 = - 3x
The solution to the simultaneous equation is x = -1/2 and y = √71 / 2
What is a Linear Expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
For example, t² is a variable raised to the second power, but t is a variable raised to the first power.
x² + y² = 18 ----- 1
x + 2 = - 3x ---- 2
From equation 2
x + 2 = - 3x
x + 3x = -2
4x = -2
x = -2/4
x = -1/2
Substitute x in equation 1
(-1/2)² + y² = 18
1/4 + y² = 18
y² = 18 - 1/4
y² = (72 - 1)/4
y² = 71/4
y = √71 / 2
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Find the exact value of cos using cos( - ): Hint: To calculate π/12, select two fractions that when subtracted from each other will result in π/12.
The exact value of cos is cos([tex]\frac{\pi }{12}[/tex]) = ([tex]\sqrt{2}[/tex] + [tex]\sqrt{6}[/tex]) /4
given that
Trigonometry is a field of mathematics that examines correlations between triangle side lengths and angles (from the Ancient Greek words "trigonon" and "metron"). The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. While Indian mathematicians produced the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine, the Greeks concentrated on chord calculation.
Trigonometry has been used historically in fields like geodesy, surveying, celestial mechanics, and navigation.
Trigonometry has a wide variety of identities. In order to simplify an expression, identify a more practical version of an expression, or solve an equation, trigonometric identities are frequently employed to rewrite trigonometrical expressions.
now , we need to find the value of cos
[tex]\pi[/tex]/12 can be written as [tex]\pi[/tex]/3 and [tex]\pi[/tex]/4
using cos(-) we need to find
cos(A - B) = cos(A)cos(B)+sin(A)sin(B)
cos([tex]\frac{\pi }{3}[/tex] - [tex]\frac{\pi }{4}[/tex]) = cos([tex]\frac{\pi }{3}[/tex])cos([tex]\frac{\pi }{4}[/tex]) + sin([tex]\frac{\pi }{3}[/tex])sin([tex]\frac{\pi }{4}[/tex])
cos([tex]\frac{\pi }{12}[/tex]) = (1/2)(1/[tex]\sqrt{2}[/tex]) +([tex]\sqrt{3}[/tex]/2)(1/[tex]\sqrt{2}[/tex])
= (1/2)([tex]\sqrt{2}[/tex]/2) + ([tex]\sqrt{3}[/tex]/2)([tex]\sqrt{2}[/tex]/2)
= ([tex]\sqrt{2}[/tex]/4) + ([tex]\sqrt{6}[/tex]/4)
cos([tex]\frac{\pi }{12}[/tex]) = ([tex]\sqrt{2}[/tex] + [tex]\sqrt{6}[/tex]) /4
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3. Jonny has 12 pairs of shoes, some are Nike and some are Adidas. He has 6 more pairs of Nikes than Adidas shoes. How many pairs of each shoe brand does he have?
Step-by-step explanation:
let addicts be x and Nike be x+6
so ,
x+x+6=12
or,2x=6
or x=-3
now x+6=3+6=9
therefore he had 9 Nike and 3 Adidas
Determine appropriate ____ to model scenarios.
Determine appropriate formula to model scenarios.
How to determine appropriate formulas to model scenarios?Sometimes, different formulas can generate similar results. The key is to choose the formula that is most appropriate for the scenario, and it's also important to consider the complexity of the formula and its interpretability.
Based on the problem or question, the available data, and the literature review, determine the appropriate mathematical model to use. The model should be able to capture the key features of the problem or question and provide an accurate representation of the data.
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What is angle x? It needs to use the rules of angles in parallel lines
Answer:
53
Step-by-step explanation:
The table shown represents a linear relationship.
x 0 1 2 3
y -6 -4 -2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
Oy=2x + 6
Oy=2x-6
Oy=-2x + 3
Oy=-2x - 3
The slope intercept form of the equation is B) y=2x-6.
What is slope intercept form of the equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
Here According to the table using two points [tex](x_1,y_1) =(0,-6)[/tex] and [tex](x_2,y_2)=(3,0)[/tex] .
Now using slope formula m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> m = [tex]\frac{0-(-6)}{3-0}[/tex]
=> m = [tex]\frac{6}{3} = 2[/tex]
Now using equation formula then
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y-(-6)=2(x-0)
=> y+6 = 2x
=> y = 2x-6
Hence the slope intercept form of the equation is B) y=2x-6.
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How many 2 1/7 inch pieces of thread can be
cut from a spool with 8 3/4 inches of thread?
A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.
How many pieces of thread can be cut ?In light of the conditions stated, come up with: [tex]$\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$[/tex] To improper fractions, change the mixed numbers to: [tex]$\frac{\frac{35}{4}}{\frac{15}{7}}$[/tex] Multiply the reciprocal of a fraction to get its division: [tex]$\frac{35}{4} \times \frac{7}{15}$[/tex]
Mark this common element as a no-go: Multiplying [tex]$\frac{7}{4} \times \frac{7}{3}$[/tex] Mark the common element as absent: Multiplying [tex]$\frac{7 \times 7}{4 \times 3}$[/tex] . Put the following in one fraction : [tex]$\frac{49}{12}$[/tex] . The product or quotient should be
calculated.Find the biggest number that is greater than [tex]$\frac{49}{12}$[/tex] and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.
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Given the following point on the unit circle, find the angle, to the nearest tenth of a
degree (if necessary), of the terminal side through that point, 0° 0 < 360°.
P =
3
4
ܠܛܕ
47)
Answer: [tex]303^{\circ}[/tex]
Step-by-step explanation:
The point [tex]P[/tex] lies in the fourth quadrant, so the angle is given by [tex]360^{\circ}-\alpha[/tex], where [tex]\alpha[/tex] is the reference angle.
The reference angle is given by [tex]\arctan \left(\frac{\frac{\sqrt{7}}{4}}{\frac{\sqrt{3}}{4}} \right)=\arctan \left(\sqrt{\frac{7}{3}} \right)[/tex].
This means [tex]\theta=360^{\circ}-\arctan \left(\sqrt{\frac{7}{3}}} \right) \approx 303^{\circ}[/tex].
Does this set of ordered pairs represent a function? why or why not?
(-2,2), (-1, 2), (3, -1), (3, 1), (4, 11))
oa. yes, because there are two xvalues that are the same.
o b. yes, because every xvalue corresponds to exactly one y-value.
o c. no, because two of the y-values are the same.
od. no, because one xvalue corresponds to two different y-values
The ordered set pairs (-2, 2), (-1, 2), (3, -1), (3, 1), (4, 11),
is not a function. Because one x value corresponds to two different y values.
Determine whether or not the function of the set of ordered pairsGiven a set of ordered pairs (-2, 2), (-1, 2), (3, -1), (3, 1), (4, 11),
Function is special relations that pair each member of set A (domain) with exactly one member of set B (codomain).
Discuss the options provided.
a. yes, because there are two x values that are the same that is 3. Then the statement is false, the value of x cannot be the same.
b yes, because every x value corresponds to exactly one y-value. Then the statement is false.
c. no, because two of the y-values are the same. Then the statement is false.
d. no, because one xvalue corresponds to two different y-values. Then the statement is true.
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Evaluate the expression.
Do not round your answer.
5- 3/2 to the second power
The result of.tge evaluation of the given expression as required is; 11 / 4.
What is the value of the expression upon evaluation?It follows from the task content that the value of the expression given be determined upon evaluation.
Since the given expression is; 5 - 3/2 to the second power
5 - (3/2)²
= 5 - 3²/2²
= 5 - 9/4
= 20 / 4 - 9 /4
On this note, the resulting expression is; ( 20 - 9 ) / 4 = 11/4.
Ultimately, the result of the expression evaluation as required to be determined is; 11 / 4.
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Find the area, not sure if that's a 1.5 or 15
Answer:
8.25
Step-by-step explanation:
trapezoid area =
(a+b)/2 times h =
if its 1.5
(4+7)/2 times 1.5 =
11/2 times 1.5 =
5.5 times 1.5 =
8.25
if its 15
5.5 times 15 =
82.5
its probably 1.5
wikipedia
my grandpa has 10 pieces of art, including 3 prints by escher. if he hangs the pieces of art in a row in a random order, what is the probability that all three pieces by escher will be placed consecutively?
The probability that all three Escher prints will be placed consecutively is 3/5 or 0.6
The probability that all three pieces by Escher will be placed consecutively when hanging the 10 pieces of art in a random order is the probability that the 3 Escher prints will be in a row among the other 7 pieces.
There are 10!/(3! × 7!) = 120 ways to order the 10 pieces of art, and 3! = 6 ways to order the 3 Escher prints among themselves.
So the total number of ways to order the art such that the Escher prints are consecutive is 120 × 6 = 720.
Now to find the probability that all three Escher prints will be placed consecutively, we divide the number of ways that this can happen (720) by the total number of ways the art can be arranged (120) to get 720/120 = 6/10 = 3/5.
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Rewrite the following equations in the form y = mx + b.
8x + 2y = 10
12x - 3y = -25
Answer:
8x + 2y = 10 ==> y = -4x + 5
12x - 3y = -25 ==> y = 4x + 25/3
Step-by-step explanation:
8x + 2y = 10 ==> solve for y
2y = 10 - 8x ==> subtract 8x on both sides
(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y
y = 5 - 4x ==> simplify
y = -4x + 5 ==> put the equation in y=mx+b form
12x - 3y = -25 ==> solve for y
12x = -25 + 3y ==> make y positive by adding 3y on both sides
12x + 25 = 3y ==> add 25 on both sides to isolate y
(3y = 12x + 25) / 3 ==> divide the equation by 3 to make 3y into y
y = 4x + 25/3 ==> simplify
write the ratio in simplest form 1. 30 treadmills to 36 elliptical machines / 2. 180 red marbles to 145 blue marbles / 3. in the word flashlight what is the ratio of vowels to total letters? /
The ratio in simplest form in the three cases is 5 : 6, 36 : 29 and 1 : 5.
30 treadmills to 36 elliptical machines can be simplified to 5 treadmills to 6 elliptical machines. To simplify, you can divide both numbers by their greatest common factor, which in this case is 6.
30/6 = 5 and 36/6 = 6
So 30 : 36 = 5 : 6
180 red marbles to 145 blue marbles can be simplified to 12 red marbles to 11 blue marbles. To simplify, you can divide both numbers by their greatest common factor, which in this case is 5.
180/5 = 36 and 145/5 = 29
180 : 145 = 36 : 29
In the word "flashlight", the ratio of vowels to total letters is 2:8. The word "flashlight" has 2 vowels (a,i) and 10 total letters. To simplify divide by 2.
2 : 10 = 1 : 5
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Solve for X, Leave in simplest radical form
The value of x in the simplest radical form is 3.
What are trigonometric relations?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
Given: Let the triangle be ΔABC
The triangle ABC is a right-angled triangle and the angles inside the triangles are 45°, 45° and 90°
tan θ = x / 3
Now , θ = 45°
So, tan 45° = x / 3
The value of x is 3.
Hence, the value of x is 3.
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For every 4 girls in Mr Hegarty's class there are 5 boys. What is the ratio of boys to girls in the class?
Give your answer in its simplest form.
Answer:
5:4
Step-by-step explanation:
girls = 4
boys = 5
ratio = boys:girls = 5:4
HOPE THIS HELPED
Find the sum. Simplify
2 2/10
Answer:
2 1/5
Step-by-step explanation:
a doctor would like to estimate the mean difference in the number of hours of sleep for seniors in high school and seniors in college. to do so, he selects a random sample of 50 high school seniors from all high schools in his county. he also selects a random sample of 50 seniors from the colleges in his county. he would like to construct a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. are the conditions for inference met?
No, the conditions for inference have not been met. The two samples must be independent, meaning that the individuals in the college sample should not also be in the high school sample. Without independent samples, it is not possible to construct a 95% confidence interval for the true mean difference.
1. Collect data from the two samples of seniors in high school and college.
2. Calculate the mean difference in the number of hours of sleep for the two samples.
3. Calculate the standard deviation of the differences in hours of sleep for the two samples.
4. Calculate the standard error of the mean difference.
5. Calculate the critical value for a 95% confidence interval.
6. Calculate the lower and upper bounds of the confidence interval by
adding and subtracting the critical value from the mean difference.
7. Interpret the confidence interval to determine the true mean difference in the number of hours of sleep for seniors in high school and colleg
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