The correct answer is b. One Sample Hypothesis Test. In a one-sample hypothesis test, we compare the sample data to a predetermined sample hypothesis and then use statistical methods to make an inference about the population parameter.
This inference is based on the assumption that the sample is representative of the population, and therefore provides insight into the characteristics of the population parameter.
To clarify the terms:
- Hypothesis: A statement or assumption made about a population parameter that needs to be tested.
- Testing: The process of analyzing data to determine if a hypothesis is supported or refuted.
- Inference: Drawing conclusions about a population parameter based on sample data.
- Sample Hypothesis: A hypothesis that is tested using sample data.
- Population Parameter: A characteristic or measure of a population, such as the mean or standard deviation.
In a one-sample hypothesis test, you compare the sample statistic (e.g., mean or proportion) to the known or hypothesized population parameter to make an inference about the population. This process helps you determine if there is a significant difference between the sample statistic and the population parameter.
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How can i learned maths hardly?
Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.
Some tips that may help you learn maths quickly and efficientlyStart with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.
Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.
Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.
Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.
Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.
Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.
Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.
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Ashley went to a store and bought 3 items. Each item cost $21. How much did she spend
Answer:
$63
Step-by-step explanation:
You are studying the lengths of time people spend reading books
each day. You randomly select 50 people and observe that, in average, they spend 25 minutes
reading books each day. Find the probability that the mean time they spend reading each day is
between 24.7 and 25.5 minutes? Assume that o=1.5 minutes and also you can use the Central
Limit Theorem.
The probability that the mean time people spend reading books each day is between 24.7 and 25.5 minutes, assuming a population standard deviation of 1.5 minutes and using the Central Limit Theorem, is approximately 0.881 or 88.1%.
How to find the probability?Since we have a sample size of 50, we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean. We know that the population standard deviation is 1.5 minutes. Therefore, the standard error of the mean is:
SE = σ/sqrt(n) = 1.5/sqrt(50) ≈ 0.212
To find the probability that the mean time spent reading is between 24.7 and 25.5 minutes, we need to standardize the sample mean using the formula:
z = (x - μ) / SE
where x is the sample mean, μ is the population mean (which is not given, but we can assume is equal to the sample mean of 25), and SE is the standard error of the mean calculated above.
So, for the lower bound of 24.7 minutes:
z = (24.7 - 25) / 0.212 ≈ -1.42
And for the upper bound of 25.5 minutes:
z = (25.5 - 25) / 0.212 ≈ 2.36
We can then use a standard normal distribution table or calculator to find the probability that z is between -1.42 and 2.36, which represents the probability that the sample mean is between 24.7 and 25.5 minutes:
P(-1.42 < z < 2.36) ≈ 0.881
Therefore, the probability is 0.881 or 88.1%.
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A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
Find the coordinates of the centroid of the triangle with the given vertices.
F(1, 5), G(-2, 7), H( – 6, 3)
The coordinate of the centroid of the given triangle will be at (-2.33,5).
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The given triangle with vertices has been drawn.
The midpoint of H( – 6, 3) and F(1, 5) will be as,
x = (-6 + 1)/2 = -2.5
y = (3 + 5)/2 = 4 so D(-2.5,4)
The coordinate of the centroid will intersect 2:1 of the median from the vertex side.
Thus by intercept formula,
x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)
x = -2.33 and y = 5
So the coordinate of vertices will be (-2.33,5).
Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".
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We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confidence interval for the population mean? Select one: A. [11.7793, 13.2207] B. [11.7019, 13.2981] C. (11.2600, 13.7400) D. [11.3835, 13.6165)
Therefore, the 99% confidence interval for the population mean is [11.7793, 13.2207]. Option A is the correct .
To calculate the 99% confidence interval for the population mean, we can use the formula:
Confidence interval = sample mean ± (critical value) * (standard error)
The critical value can be determined based on the desired confidence level and sample size. For a 99% confidence level with a sample size of 25, the critical value can be obtained from the t-distribution table or a statistical software.
The standard error is calculated by taking the square root of the population variance divided by the sample size:
Standard error = √(population variance / sample size) = √(2.4 / 25) ≈ 0.275
Plugging in the values, we have:
Confidence interval = 12.5 ± (critical value) * 0.275
To find the critical value, we refer to the t-distribution table for a 99% confidence level with degrees of freedom (n-1) = 24. The critical value is approximately 2.797.
Substituting the values:
Confidence interval = 12.5 ± 2.797 * 0.275
Calculating the upper and lower bounds of the confidence interval:
Lower bound = 12.5 - 2.797 * 0.275 ≈ 11.7793
Upper bound = 12.5 + 2.797 * 0.275 ≈ 13.2207
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Sameen bought 2 1/5 pounds of carrots for $6.60. At that rate how much would 1 pound of carrots cost.
Find the range of {(45.5, 65.5), (48.2, 68), (41.8, 62.2), (46, 66), (50.4, 70)}.
Answer:
range = biggest - smallest
65.5-45.5= 29
68 -48.2 =19.8
62.2-41.8 = 20.4
66-46= 20
70-50.4=19.6
Evaluate inverse functions The graph of y= h(x) is a line segment joining the points (-7,-5) and (-1,-2) Drag the endpoints of the segment below to graph y=h^-1(x)
When we have an inverse function, the domain and range are switched.
All x-coordinates become y-coordinates and vice-versa.
So, if the point (-7, -5) is a solution of h(x), the point (-5, -7) is a solution of h^-1(x)
If the point (-1, -2) is a solution of h(x), the point (-2, -1) is a solution of h^-1(x).
Therefore, the endpoints of the segment that represents the inverse function are the points (-5, -7) and (-2, -1).
what quadrant is point D located in?quadrant lquadrant llquadrant lllquadrant lV
The point D is located in quadrant iii. Here we have (-, -)
how much commission would a salesperson earn for selling a $25.000. car? he receives an 18% commission
The commission earned by the salesperson for selling a $25,000 car with an 18% commission rate can be calculated by multiplying the price of the car by the commission rate:
Commission = 0.18 * $25,000
Commission = $4,500
Therefore, the salesperson would earn a commission of $4,500 for selling the car.
The radius of a dartboard is 9 inches What is the area of the dartboard in square inches?
the area of the dartboard is approximately 254.34 square inches.
The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:
Area = π * \(radius^2\)
Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:
Area = π * \(9^2\)
Area = π * 81
To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:
Area ≈ 3.14 * 81
Area ≈ 254.34 square inches
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Round the number 21,498.2536 to the nearest Indieated place
tenth
Answer:
21,498.3
Step-by-step explanation:
This is the answer because:
1) The tenths place is right after the decimal point. In this case, the number is 2. The rounding number is right next to 2.
2) The rounding number is 5. Since the rounding number is greater or equal to 5, the number rounds up. Therefore, the number rounds to 3 from 2
Hope this helps!
The question is clearly in the pic
A) The slope represents the probability of winning for each rank.
B) The y-intercept means the probability of winning for an unranked school.
C) The probability of winning for a school ranked number 4 is; 78%
How to Interpret Linear Equation Graphs?The formula representing the general form of an equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
A) From the given graph, we see that the y-axis represents the probability of winning for each rank while the x-axis represents the ranks of the schools. Thus;
Slope unit = Probability of winning/Rank
B) The y-intercept is the point at which the graph crosses the y-axis. In this case, it means no ranked school and that is the probability of winning for an unranked school.
C) The linear equation is given by the formula;
y = -6.4x + 103.8
Thus, for a rank of 4, we have;
y = -6.4(4) + 103.8
y = 78.2 ≈ 78%
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A rectangle has length 3x + 4 and width 2x - 1. What is the perimeter of the rectangle?
Answer:
the width is 10x + 6
Step-by-step explanation:
but we know for a rectangle that the length and the width added twice together equals the perimeter . so you will want to do 2(3x+4)+2(2x-1) which equals 6x+8+4x-2 which equals 10x+6.
What is the difference of square of 8 and 6
Step-by-step explanation:
square of 8 is 64 and square of the 6 is 36
8^2= 8*8=64
6^2= 6*6=36
Find all points on the x-axis 8 units from the point (3,-4).
Answer:
Is this a graph problem?
Step-by-step explanation:
To prepare for swim team tryouts, Leann swam in the pool. On Monday, she swam for 24 minutes. On Tuesday, she swam for 18 minutes. On Wednesday, Thursday, and Friday, she swam for 30 minutes each day. How many minutes did Leann swim this week? *
In order to find how many minutes Leann swan this week, we just need to sum the time from each day:
Monday: 24 minutes
Tuesday: 18 minutes
Wednesday: 30 minutes
Thursday: 30 minutes
Friday: 30 minutes
\(24+18+30+30+30=132\)So in total Leann swan 132 minutes this week.
When fingerprinting a person who is missing fingers, what are the two notations you should use on the fingerprint card
Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.
It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.
When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.
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When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.
Explanation:When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:
Tented arch: If the person is missing the middle finger, the missing finger should be notated as a tented arch. This means that the ridges of the fingertip start on one side of the finger and end on the other, creating a tent-like shape.Amputation: If a person is missing a finger completely, the notation should indicate the specific finger that is missing and the level of the amputation, such as 'Amputation of left index finger at the proximal phalanx'.Learn more about Fingerprinting here:https://brainly.com/question/34652657
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Emma spent $29. 00 on average for each of the 3 times Emma went to eat at restaurants. By eating at home, it would have averaged just $8. 00 a meal. How much more did Emma need to budget for eating at restaurants instead of eating at home?
Emma needed to budget an extra $87.00 - $24.00 = $63.00 for eating at restaurants instead of eating at home.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
Emma spent a total of $29.00 x 3 = $87.00 on eating at restaurants.
If Emma had eaten at home, she would have spent $8.00 x 3 = $24.00.
Therefore, Emma needed to budget an extra $87.00 - $24.00 = $63.00 for eating at restaurants instead of eating at home.
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what point satfys the inequality y < -1/3x + 3
A point that satisfies the inequality y < -1/3x + 3 is (0, 3) or (9, 0).
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Next, we would use an online graphing calculator to plot (graph) the given inequality (y < -1/3 x + 3) in order to determine the point that satisfies it, which is the ordered pair (0, 3) or (9, 0).
y < -1/3 x + 3
3 < -1/3 (0) + 3
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Complete Question:
What point satisfies the inequality y < -1/3x + 3?
In the following exercises, set up a table of values and round to eight significant digits. Based on the table of values, make a guess about what the limit is. Then, use a calculator to graph the function and determine the limit. Was the conjecture correct
It would have been nice if you included the function or the exercises you need help with. Nonetheless, the general solution to the problem is: Generate a table of values that should have input values approaching the limit from both directions then examine it to determine the behavior of the function. Guess the limit and graph the function and using that determine the limit of the function.
The following is the step-by-step guide to approaching problems related to limit determination based on tables of values and graphs.
Step 1: Create a table of values:
The first step in determining the limit of a function is to generate a table of values. The table should have input values that approach the limit from both directions.
Step 2: Make a conjecture about the limit: Examine the table of values to determine the behavior of the function as x approaches the limit from both directions. Based on the behavior, guess what the limit might be.
Step 3: Graph the function: Using a calculator, graph the function.
Step 4: Confirm the conjecture: Determine the limit of the function from the graph and compare it to your guess. If the limit obtained is consistent with your conjecture, then your guess is correct. If not, then you should reassess your conjecture.
In summary, the table of values helps to give an idea about the behavior of the function as the input approaches the limit from both directions, which can be used to make an educated guess. The graph of the function is then used to confirm the guess.
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Solve The below equation h-35=107
options
1. h=29
2. h=142
3. h=51
4. h=97
Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number x.
Answer:
x+5·-2=6
Step-by-step explanation:
half the product of two numbers a and b, added to thrice a third number c
30.94÷0.7=?? with explanation
The value of the quotient when 30.94 is divided by 0.7 will be 44.2
Division of numbersDividing two numbers involves obtaining the number of times the denominator value can be obtained from the numerator.
Here, the numerator is 30.94 and the denominator is 0.7
To make things easier, we can convert the values to whole numbers by multiplying the values by 100
30.94 × 100 = 3094
0.7 × 100 = 70
Hence, Using a calculator ;
3094 / 70 = 44.2
The quotient value would be 44.2
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Polynomials are written with the exponents of the terms in_____order.
Answer:
descending order, meaning standard form.
Step-by-step explanation:
Ex: x^2-5x+2
or
Ex: 2x^3 -5x^2 -2x +3
tell me if it doesn't make sense
What is the product of (7x² − 3)(8x² − 7x + 5)?
see attached image for the explanation, the answer is also there
find the surface area of that part of the plane that lies inside the elliptic cylinder
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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Multiply. 5abc5⋅3a2b3
The multiplied form of the expression 5abc⁵⋅3a²b³ is 15 a³b⁴c⁵.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given expression is,
5abc⁵⋅3a²b³.
To multiply the given expression,
Use multiplication mathematical operation,
15abc⁵.a²b³
15 a³b⁴c⁵
The required expression is 15 a³b⁴c⁵.
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