An adult green sea turtle weighs on average 350 pounds. With ever-changing ocean conditions, a marine biologist desires to collect data on the weights of green sea turtles in the nearby area. The average weight among the 24 sea turtles was 342 pounds with a standard deviation of 16 pounds.
1.) If the null hypothesis is: Mu = 350, what is the corresponding alternative hypothesis if we want to have a two-sided test?
2.) Calculate the t-statistic.
3.) Calculate the critical value if the alpha level equals .05. Remember whether it is a one- or two-sided test.
4.) What is the conclusion of our test?
Answers
-If the null hypothesis is: Mu = 350, the corresponding alternative hypothesis for a two-sided test is: Mu ≠ 350.
-To calculate the t-statistic, use the formula: t = (sample mean - population mean) / (sample standard deviation / sqrt (sample size)).
In this case: t = (342 - 350) / (16 / sqrt(24))
t = -8 / (16 / 4.898)
t = -8 / 3.265
t ≈ -2.45
3.) To calculate the critical value for a two-sided test with an alpha level of 0.05, you need to find the t-value corresponding to 0.025 in each tail (since 0.05/2 = 0.025) and degrees of freedom (df) = sample size - 1 = 24 - 1 = 23. Using a t-table or calculator, the critical value is approximately ±2.069.
4.) The conclusion of our test is based on comparing the calculated t-statistic (-2.45) with the critical value (±2.069). Since -2.45 is less than -2.069, we reject the null hypothesis. This indicates that there is a significant difference between the average weight of the sampled green sea turtles and the known average weight of 350 pounds.
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Related Questions
Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample? a. magnitude statistics b. central tendency c. inferential statistics d. effect size
Answers
The correct answer is c. Inferential Statistics.
Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.
Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.
This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.
Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.
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FILL IN THE BLANK. Overall, available research suggests jurors exposed to pretrial publicity are ________________ to favor the ________________.
Answers
Answer:
Overall, available research suggests jurors exposed to pretrial publicity are more likely to favor the prosecution.
What is the nature of the roots for y=2x^2- 5? Use the discriminant to determine the nature of the roots.
Answers
The nature of the roots for y=2x²- 5 is there are 2 distinct real roots.
What is the nature of roots?
The nature of the roots of the quadratic can fall into one of three categories depending on the value of the discriminant
Δ > 0 means there are 2 distinct real roots.
Δ = 0 means there are 2 equal real roots or 1 distinct real root.
Δ < 0 means there are no real roots, but 2 complex roots.
Here,
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b² - 4ac
Substitute the values of a, b, and c.
Evaluate the given equation to find the discriminant, we get
= 0 - 4×2×(-5)
= 41
> 0
Since the discriminant is greater than 0
Hence, there are 2 distinct real roots.
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Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
Answers
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answers
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
solve equation 78 + 67 + 35
Answers
Answer:180
Step-by-step explanation:
You do: 78+67= 145
Then add: 145+35= 180
Answer:
180
Step-by-step explanation:
you add all the numbers 78+67+35
The area of a rectangle is 54x y9 3 6x y4 yards, 8 square yards. If the length of the rectangle is which expression represents the width of the rectangle in yards?Answers:9x¹²y¹²9x⁶y⁴324x¹²y¹²324x⁶y⁴
Answers
Answer:
9x⁶y⁴
Explanation:
The area of a rectangle is equal to:
\(\text{Area }=\text{ Length x Width }\)So, dividend both sides by the length, we get that the width can be calculated as:
\(\text{Width = }\frac{\text{ Area}}{\text{ Length}}\)Then, replacing the expression for the Area and the length, we get:
\(\text{Width = }\frac{54x^9y^8}{6x^3y^4}\)Now, we will use the following property:
\(\frac{a^m}{a^n}=a^{m-n}\)It means that when we divide two numbers with the same base, we subtract the exponents. So, the width is equal to:
\(\begin{gathered} \text{Width}=\frac{54}{6}\cdot\frac{x^9}{x^3}\cdot\frac{y^8}{y^4} \\ \text{Width}=9\cdot x^{9-3}\cdot y^{8-4} \\ \text{Width}=9x^6y^4 \end{gathered}\)Therefore, the expression that represents the width of the rectangle in yards is: 9x⁶y⁴
I got this problem wrong and I have no idea how to solve it.
Help please ☕
Answers
Answer:
Step-by-step explanation:
ope has $900 in her checking account. she has $ 76 per month that she must pay bills .at most how many months,m, can she pay all of her bills without making any additional deposits?
Answers
Answer:
11 months
Step-by-step explanation:
Answer:11 Months
Step-by-step explanation:
Nine hundred divided 76 equals Months 900÷76=M
What represents this model
Answers
Answer:
2 x 3/4
Step-by-step explanation:
there is 2 blocks and each blocks length is 3/4 so it would be 2 x 3/4
Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution. 8e^x-5=0
Answers
The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:
x = ln(5/8).
How to define the logarithmic form of the exponential equation?The exponential function in this problem is defined as follows:
8e^x-5 = 0.
The equation can be sorted isolating the exponential as follows:
8e^x = 5.
e^x = 5/8.
The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:
ln(e^x) = ln(5/8).
As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:
ln(e^x) = x.
Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:
x = ln(5/8).
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what is the equation in slope intercept form if slope is two and the y intercept is (0,3)
Answers
Answer:
y= 2x +3
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 2, m= 2.
Substitute m= 2 into the equation:
y= 2x +c
Given that the y-intercept is (0, 3), c= 3.
Substitute c= 3 into the equation:
y= 2x +3
Thus, the equation of the line is y= 2x +3.
Answer: y=2x-3
Step-by-step explanation:
3/0.8 = z/5.6
Solve for z
Answers
3 / 0.8 = z / 5.6
To find z, we need to isolate z. How can we do this? Right now, we know z / 5.6 is equal to 3 / 0.8.
To isolate z, we should multiply by 5.6 on each side.This will cancel the divide by 5.6 or the 1/5.6 on the right side to isolate z!
(3 × 5.6) / 0.8 = z
16.8 / 0.8 = z
All we have to is simplify!
z = 21
Find the slope of the line.
Answers
Answer:
-8/5
Step-by-step explanation:
Slope is calculated as the change in y over the change in x, or the rise over the run.
Two points on this line are (2, -4) and (3, 4) The rise between these two points is 8, and the run between these two points is -5.
Therefore, the slope is just 8/-5, or -8/5.
Let me know if this helps!
can you solve this in 3 min?
Answers
The dot plot of the data values is added as an attachment
How to create the dot plotFrom the question, we have the following parameters that can be used in our computation:
85,88,75,100,90,90,88,72,72,79,88,85
Next, we create a frequency table
So, we have
Values Frequency
72 2
75 1
79 1
85 2
88 3
90 2
100 1
Total 12
Using the frequency table above, we create the dot plot
See attachment for the dot plot
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One thing that many students think about when they register for classes at a university is how many textbooks they are going to have to buy for the class and how much the books are going to cost. To add to this, a lot of the students wonder if they are even going to use the books that they are required to buy. In fact, some students don’t buy books for their classes because they are convinced that they don’t really need them to achieve an acceptable grade.
This is exactly the line of thinking that textbook writers are afraid of—they want students to have to use their books to get good grades in their classes, and they want professors to think that students need their books so that they require them as part of their classes.
Even though textbooks have a definite value—they are available to students who use them when their professors are not—there is some debate on whether they are really needed as part of university classes.
Recently, a researcher conducted an experiment to address this question. In the experiment, the researcher compared two sections of his introductory statistics course, a course required for all liberal arts and sciences students. Students who were enrolled in the fall semester of the course were told that buying the textbook was optional, whereas students enrolled in the spring semester were told that buying the textbook was required. All 380 of the students (190 in the fall and 190 in the spring) completed the course, and they all took the final exam, which consisted of some calculations and several conceptual essay questions.
When the professor finished scoring the essays, he compared the final exam grades of both sections of the class. He found just what he thought he would—there were no differences in the scores on the exams between the section that thought the textbook was optional and the section that thought the textbook was required. The average grade for the fall semester was 84.3%, and for the spring semester it was 85.2%.
Based on this study, the researcher concluded that textbooks were not necessary or helpful for learning, since there were no differences in scores between the two sections.
No control or comparison group
No random assignment
Participant bias
Small sample size
Poor sample selection
Attrition or mortality
Experimenter bias
Confuse correlation with causality
DV is not reliable, precise or accurate
DV is not valid
DV is not objectively scored
Premature generalization of results
Answers
The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.
Moreover, the study fails to account for extraneous variables that might affect the results. Therefore, that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.
The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.
Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.
Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.
Therefore, the textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.
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Simplify: 4y2 + 5y + 2 + 8y2 + 4y + 5.
Answers
Answer:
12y² + 9y + 7
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4y² + 5y + 2 + 8y² + 4y + 5
Step 2: Simplify
Combine like terms (y²): 12y² + 5y + 2 + 4y + 5Combine like terms (y): 12y² + 9y + 2 + 5Combine like terms: 12y² + 9y + 7Answer:
12y² + 9y + 7
Step-by-step explanation:
4y² + 5y + 2 + 8y² + 4y + 5
Simplify :-
4y² + 5y + 2 + 8y² + 4y + 5
arranging like terms4y² + 8y² + 5y + 4y + 2 + 5
Combine like terms12y² + 9y + 7
What are the domain and range of g(x) = -1/4 (x-17)^2 + 61?
Answers
Answer:
Step-by-step explanation:
It can not be bigger then 61
The domain and range of g(x) = -1/4 (x-17)^2 + 61 is g(x) ≤ 61 and the domain is that it is all real numbers.
Calculation of the domain and range:Since the function is g(x) = -1/4 (x-17)^2 + 61
It defined that it is the polynomial and also the whole real number
So based on this, we can say that The domain and range of g(x) = -1/4 (x-17)^2 + 61 is g(x) ≤ 61 and the domain is that it is all real numbers.
hence, the first option is correct.
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An engineering student answered 81 questions correctly on a 90 question test what percent of the questions did she answer correctly what percent were incorrect
Answers
\(\text{Percent of questions she answered correctly} = \frac{81}{90} \times100\%=90\%\\\\\text{Percent of questions she answered incorrectly} = \frac{9}{90} \times100\%=10\%\)
Find suitable x values for the following limits x->2
lim (2x) = 8 and e = 2
Answers
A suitable value of δ for the limit lim x→2 (2x) = 8 with ε = 2 is δ = 1.
To find suitable values of δ, we need to use the definition of a limit
For every ε > 0, there exists a δ > 0 such that if 0 < |x - 2| < δ, then |2x - 8| < ε.
In this case, ε = 2. We can start by manipulating the inequality |2x - 8| < ε
|2x - 8| < ε
|2(x - 4)| < ε
|2||x - 2|| < ε
| x - 2| < ε/2
So, we can choose δ = ε/2 = 1 as a suitable value.
To show that this value of δ works, we need to check that if 0 < |x - 2| < 1, then |2x - 8| < 2
|2x - 8| = 2|x - 4| = 2| x - 2 + 2| = 2|x - 2 + 2||x - 2| / |x - 2|
Using the triangle inequality, we have
| x - 2 + 2| ≤ |x - 2| + |2| < 1 + 2 = 3
So, we can write
|2x - 8| = 2|x - 2 + 2||x - 2| / |x - 2| < 2 × 3 × 1 / 1 = 6
This shows that if 0 < |x - 2| < 1, then |2x - 8| < 2, as required. Therefore, δ = 1 is a suitable value for this limit.
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The given question is incomplete, the complete question is:
Find suitable δ values for the following limits lim x→2 (2x) = 8 and ε = 2
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
Answers
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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tim and david are baking pies for a fundraiser at their school. the divide each 9-inch diameter pie into 6 equal slices. what is the area of a piece of pie in square inches?
Answers
Therefore, the area of a piece of pie is 10.60 square inches.
To find the area of a pie with a 9-inch diameter, we can use the formula for the area of a circle:
A = πr²
where r is the radius of the circle. Since the diameter of the pie is 9 inches, the radius is half of that, or 4.5 inches. So we can plug this value into the formula to get:
A = π(4.5)²
Simplifying, we get:
A = π(20.25)
A = 63.62 square inches (rounded to two decimal places)
This is the total area of the pie.
Since the pie is divided into 6 equal slices, we can divide the total area by 6 to get the area of each slice. So we can calculate the area of each slice as:
63.62 / 6 = 10.60 square inches (rounded to two decimal places)
Therefore, each slice of the pie has an area of approximately 10.60 square inches.
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Find the slope of the line that passes through (6, 3) and (3, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answers
Answer:
1/3
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (2 - 3)/(3 - 6) = (-1)/(-3) = 1/3
I need help with this practice problem It is trigonometry
Answers
To determine the restriction of the domain of the function tan(x), let us analyze its definition:
\(\tan (x)=\frac{\sin (x)}{\cos (x)}\)Because cos(x) goes to zero for values of x equal to ±π/2, for these values we have the limits, in the sense of edge, of the function. After this point tan(x) starts to repeat the values.
Because the edges are given by ±π/2, and the function is not defined in the point, because it becomes a division by 0, we can solve the first part of the problem:
The domain of f(x) = tan( x) is restricted to:
\((-\frac{\pi}{2},\frac{\pi}{2})\)so that the inverse of that function exists. This means that all functional values of f(x) = tan^(-1)( x ) are on the interval:
\(\lbrack-\frac{\pi}{2},\frac{\pi}{2}\rbrack\)so i have to do a project for school were I have to come up with a restaurant menu. I was going to do a bakery. but do you have any ideas?
Answers
Answer:
pizza, or sandwiches
Step-by-step explanation:
Answer:
Try a deli people love those
Step-by-step explanation:
Hope u do good!
Sarah was 50 1/4 inches tall when she was 12 years old. she was 48 1/2 inches tall when she was 11. how much did she grow during the year?
Answers
50 1/4 = 50.25
48 1/2 = 48.50
50.25 - 48.50 = 1.75, or 1 3/4
Sarah grew a total of 1 3/4 inches throughout the year.
Find the determinant of the elementary matrix. (Assume k # 0.) 1 0 0 4k 1 0 0 0 1 I Find 141. Begin by finding 4, and then evaluate its determinant. Verify your result by finding (A) and then applying the formula 14-11- A [21] 14-¹1- Need Help? Readi
Answers
The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.
Therefore, the determinant of the given elementary matrix is 4k.
To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:
\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)
The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.
In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.
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By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? please help fast i have little time! thank you so so much bless you to whoever does and tries!
Answers
Answer:
50%
Step-by-step explanation:
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? please help fast i have little time! thank you so so much bless you to whoever does and tries!
for convenience we use 100/100
100/100 decrease numerator by 60%
40/100 decrease the denominator by 20%
40/80
40/80 = 4/8 = 1/2 = 50%
If g(x) = 2x – 3, what is the value of g(4)?
Answers
5
Explanation:
When it is telling you g(4) it means that you have to plug in 4 instead of x
So the equation will be
g(4) = 2(4) -3
= 8-3
= 5
Hope this helps!
Answer:
g(4) = 5
Step-by-step explanation:
Substitute 4 for each occurrence of x in the given function:
g(4) = 2(4) - 3 = 8 - 3 = 5
g(4) = 5
948954847/15441454746
550084487
Answers
Answer:
whats the question-
Step-by-step explanation: