The parameter estimate is statistically different from zero when the absolute value of the t-statistic is greater than the critical value associated with the desired level of significance.
In hypothesis testing, the t-statistic is calculated by dividing the parameter estimate by its standard error. The t-statistic measures the number of standard errors the parameter estimate is away from the null hypothesis value (usually zero).
If the absolute value of the t-statistic is greater than the critical value, it means that the parameter estimate is significantly different from zero at the chosen level of significance. In other words, there is evidence to reject the null hypothesis and conclude that the parameter is not equal to zero.
The specific critical value depends on the desired level of significance and the degrees of freedom associated with the t-distribution. If the absolute value of the calculated t-statistic exceeds the critical value, it indicates that the parameter estimate is statistically significant and significantly different from zero.
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A maker of folding tables estimates that 1 in 40 tables is returned due to a manufacturer's defect.
for each table not returned, the manufacturer makes a profit of $4.50, but for each table
returned, it loses $48. what is the manufacturer's long-term average profit on this product?
Answer:
$127.50
Step-by-step explanation:
The average profit is found by adding up the profits from both scenarios.
39(4.5) + 1(-48)
= $127.50
Brainliest, please :)
a boat travels 45 minutes at a speed of 8 mph. then the boat travels 1.5 times faster for 1/3 hr. how many miles do the boat travel in all. need help ASAP!!!
Answer:
10 miles
Step-by-step explanation:
45/60 x 8 = 6 miles
8 x 1.5 = 4 miles
Now, add the two products together.
6 + 4 = 10 miles.
The boat traveled 10 miles in total.
i need help w this pls asap
Answer:
x=125, y=125
Step-by-step explanation:
180-55=125
x and y are alternate angles
Answer:
x=125
y= 125
Step-by-step explanation:
x + 55 = 180
y = x
alternate interior angles are equal
Every day Jack runs 3 km a) Find out how far he runs in 4 weeks
Answer:
84 km
Step-by-step explanation:
you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km
if ∫3−5f(x)dx=6, and ∫3−5g(x)dx=3 , then ∫3−5[2f(x) 6g(x)]dx=
The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).
Given that:
∫3−5f(x)dx=6
∫3−5g(x)dx=3
We need to find: ∫3−5[2f(x) 6g(x)]dx
To solve this problem, we will use the properties of integration:
Property 1:
If c is a constant, then
∫cf(x)dx=c∫f(x)dx
Property 2:
If f(x) and g(x) are two functions, then
∫[f(x) + g(x)]dx = ∫f(x)dx + ∫g(x)dx
Using Property 1, we can rewrite the given equation as:
∫3−5[2f(x) 6g(x)]dx = ∫3−5[12f(x)g(x)]dx
Using Property 2, we can further simplify the equation as:
∫3−5[12f(x)g(x)]dx = ∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx
Now we can substitute the given values:
∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx = 12∫3−5f(x)dx + 12∫3−5g(x)dx
Substituting the given values for the integrals of f(x) and g(x), we get:
12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3)
Simplifying, we get:
12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3) = 12(9) = 108
Therefore, the answer is
∫3−5[2f(x) 6g(x)]dx = 108
The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).
the complete question is :
if ∫3−5f(x)dx=6, and ∫3−5g(x)dx=3 , then ∫3−5[2f(x) 6g(x)]dx will be equal to ?
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Estimate the value of square root 2 pi/ square root 5
Answer:
Do you have a pic of the prob?
Step-by-step explanation:
I need more info...
Answer:
Step-by-step explanation:
Write the slope-intercept form of the equation of the line.
Answer:
Your answer is
equation y=-4x+4
Hope that this is helpful. Tap the crown button, Like & Follow me
Let Y~Exp(λ). Given that Y -y, let X ~ Poisson(y). Find the mean and variance of X
The mean of X is y, and the variance of X is also y.
To find the mean and variance of the random variable X, which follows a Poisson distribution with parameter y, we need to use the relationship between the exponential distribution and the Poisson distribution.
Given that Y follows an exponential distribution with parameter λ, we know that the probability density function (PDF) of Y is:
f_Y(y) = λ * e^(-λy) for y ≥ 0
To find the mean of X, denoted as E(X), we can use the property of the exponential distribution that states the mean of an exponential random variable with parameter λ is equal to 1/λ. Therefore, we have:
E(Y) = 1/λ
Now, let's consider X, which follows a Poisson distribution with parameter y. The mean of a Poisson random variable is equal to its parameter. Hence:
E(X) = y
To find the variance of X, denoted as Var(X), we use the relationship between the exponential and Poisson distributions. The variance of an exponential distribution is given by 1/λ^2, and for a Poisson distribution, the variance is equal to its parameter. Therefore:
Var(Y) = (1/λ)^2
Var(X) = y
So, the mean of X is y, and the variance of X is also y.
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Make g the subject of the formula w= 7 - Vg
Answer:
w=7-vg
Vg=7-w
Vg/v=7-w/v
G=7-w/v
Which of these are true about lines of best fits in scatter graphs? A) The line of best fit must go through the
origin of the scatter graph.
B) A line of best fit with a positive gradient
shows a positive correlation.
C) The line of best fit must go through at least
one point on the scatter graph.
D) There can be a different number of points
above and below the line of best fit.
E) The line of best fit must go through every
point on the scatter graph.
Answer:
A) The line of best fit must go through the
origin of the scatter graph
write the value of this expression as a fraction 14/33 x 55/8 x 12/35
Answer: 1
Step-by-step explanation:
\(\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1\)
School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x represent teachers and y represents students, which system of linear inequalities can be used to determine the possible number of teachers and students at the school?
2y ≥ 25x and y ≥ 245
2y ≤ 25x and y ≥ 245
25y ≤ 2x and y ≥ 245
25y ≥ 2x and y ≥ 245
Answer:
(b) 2y ≤ 25x and y ≥ 245
Step-by-step explanation:
You want the teacher/student ratio to be at least 2/25, so ...
x/y ≥ 2/25
25x ≥ 2y . . . . . multiply by 25y
2y ≤ 25x . . . . . swap sides to get the form used in answer choice B
The other inequality says the number of students is at least 245:
y ≥ 245
Answer:
B- 2y ≤ 25x and y ≥ 245
Step-by-step explanation:
Peep the attachment (proof)
A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
In June, Clarissa used 1 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer: 33.33 megabytes per day
Step-by-step explanation:
From the question, we are informed that in June, Clarissa used 1 gigabytes of data on her cell phone. Since June has 30 days, the amount of data she uses on average per day? will be:
= 1000megabyte/30
= 33.33mb
Note that:
1000 megabytes = 1 gigabyte
The following arithmetic sequence models an installment purchase. Give the down payment , monthly payment , and length of the plan. 400, 510, 620, 730, 840, 950, 1,060.
The down payment is 400, the monthly payment is 65 and the length of the plan is 7 months. An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive numbers is constant.
Arithmetic refers to the branch of mathematics that deals with numbers and the basic operations of addition, subtraction, multiplication, and division. An arithmetic sequence is a specific type of mathematical pattern where each term is obtained by adding a constant value to the previous term.
Here is the way to determine the monthly payment:
(1,060 - 400) / 7 = (660) / 7 = 65
As you can see the down payment is 400 and the last value in the sequence is 1060, so the total amount of the plan is 1060.
Also, the difference between any two consecutive terms is 110, as we can see that from the sequence:
510 - 400 = 110
620 - 510 = 110
730 - 620 = 110
840 - 730 = 110
950 - 840 = 110
1060 - 950 = 110
So the length of the plan is 7 months as the sequence contains 7 terms.
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The following 10 measurements of the freezing point of aluminum were made using a platinum/rhodium thermocouple. 658.2 659.8 661.7 662.1 659.3 660.5 657.9 662.4 659.6 662.2 Find (a) the median, (b) the mean, (c) the standard deviation, and (d) the variance of the measurements.
(a) Median is 660.15 (b) Mean is 660.07 (c) Standard Deviation is 1.543 (d) Variance is 2.3801.
To calculate the statistics for the given measurements, let's follow the steps:
(a) The median is the middle value when the measurements are arranged in ascending order.
657.9, 658.2, 659.3, 659.6, 659.8, 660.5, 661.7, 662.1, 662.2, 662.4
There are 10 measurements, so the median is the average of the 5th and 6th values:
Median = (659.8 + 660.5) / 2 = 660.15
(b) The mean is the average of all the measurements.
Mean = (658.2 + 659.8 + 661.7 + 662.1 + 659.3 + 660.5 + 657.9 + 662.4 + 659.6 + 662.2) / 10 = 660.07
(c) The standard deviation is a measure of the dispersion of the measurements around the mean.
First, we calculate the deviations of each measurement from the mean:
Deviation = Measurement - Mean
Then, we square each deviation and find the average:
Variance = [(\((Deviation1)^2\) + \((Deviation2)^2\) + ... + \((Deviation10)^2\)) / 10]
Finally, we take the square root of the variance to obtain the standard deviation:
Standard Deviation = \(\sqrt{Variance\)
Let's calculate it step by step:
Deviation1 = 658.2 - 660.07 = -1.87
Deviation2 = 659.8 - 660.07 = -0.27
Deviation3 = 661.7 - 660.07 = 1.63
Deviation4 = 662.1 - 660.07 = 2.03
Deviation5 = 659.3 - 660.07 = -0.77
Deviation6 = 660.5 - 660.07 = 0.43
Deviation7 = 657.9 - 660.07 = -2.17
Deviation8 = 662.4 - 660.07 = 2.33
Deviation9 = 659.6 - 660.07 = -0.47
Deviation10 = 662.2 - 660.07 = 2.13
Variance = [\((-1.87)^2\) + \((-0.27)^2\) + \(1.63^2\) + \(2.03^2\) + \((-0.77)^2\) + \(0.43^2\) + \((-2.17)^2\) + \(2.33^2\) + \((-0.47)^2\) + \(2.13^2\)) / 10] = 2.3801
Standard Deviation = \(\sqrt{2.3801\) = 1.543
(d) The variance is already calculated in step (c) as 2.3801.
Report:
(a) Median: 660.15
(b) Mean: 660.07
(c) Standard Deviation: 1.543
(d) Variance: 2.3801
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HELP ASAP PLEASE I BEG TOU
Answer:
(0,-2)
(2,-1)
(4,0)
Step-by-step explanation:
The points are the above ones.
x intercept: (4, 0)
y intercept: (0, -2)
Please give the best answer you can, short but the right answer, and thank you!
100 points by the way!
Answer:
C
Step-by-step explanation:
Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
n a previous poll, 32% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. suppose that, in a more recent poll, 1089 adults with children under the age of 18 were selected at random, and 325 of those 1089 adults reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? test at an alpha of 0.01 significance level. what is the test statistic, z0 ?
There is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
To determine if there is sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased, we can use a hypothesis test.
Let p be the true proportion of families who eat dinner together seven nights a week. Our null hypothesis is that there has been no decrease in the proportion of families who eat dinner together seven nights a week:
H0: p = 0.32
Our alternative hypothesis is that the proportion has decreased:
Ha: p < 0.32
We will use a one-tailed z-test with an alpha level of 0.01.
First, we need to calculate the sample proportion, P:
P = 325/1089 ≈ 0.298
Next, we can calculate the test statistic, z0:
z0 = (P - p) / sqrt(p(1-p)/n)
where n is the sample size.
z0 = (0.298 - 0.32) / sqrt(0.32(1-0.32)/1089) ≈ -2.32
Finally, we can compare the test statistic to the critical value for a one-tailed z-test at an alpha level of 0.01. The critical value is -2.33. Since -2.32 is greater than -2.33, we fail to reject the null hypothesis.
Therefore, there is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
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Pls help me i need to find angle 2 an 3
Answer:
Angle 3 is 90 degrees
Angle 2 is 35
Jane and Sheryl are scuba diving. Relative to the surfaceof the water, Jane's position is -14 feet and Sheryl'sposition is -10 feet. Write and evaluate a subtractionexpression that shows Jane's position relative to Sheryl'sposition.
Both of them are scuba diver . There position is measured relative to surface of the water. I will use diagram to describe the event
Janes position relative to sheryls position can be expressed as follows
- 10 - (-14) = -10 + 14 = 4 ft
A cylinder has a radius of 15 millimeters and a height of 17 millimeters.
What is the approximate volume of the cylinder?
O 3,004 cubic millimeters
O 3,405 cubic millimeters
O 12,017 cubic millimeters
O 13,619 cubic millimeters
Answer:
O 12,017 cubic millimeters
Step-by-step explanation:
Volume of cylinder = height x cross-section area(in this question, it's a circle) = hpr^2
17ml x (15ml)^2 x p(ill calculate it in calculator, not as 3.14)
= (approximately) 12017ml^3
Mr. Glass solved a system of equations using substitution and got the following result:
12= -4
What should he write as his final answer?
Answer: no solution
Step-by-step explanation:
An invoice shows a net purchase price of $1809.13 after the subtraction of discounts of 12.5%, 25%, 8.3%. What was the list price?
Answer:
I hope this helps................
whats an equivalent expression to 3(x+5)
Answer:
3x+15
Multiply the single term 33 by each term of the polynomial (x+5)
3x+15
Rafael needs to read 3 novels each month.
Let N be the number of novels Rafael needs to read in M months.
Write an equation relating N to M. Then use this equation to find the number of novels Rafael needs to read in 13 months.
Answer:
n×m= number of books read
3×13= 39 books
Step-by-step explanation:
Using substitution for the original equation with m and n, you can find the number of books read by plugging in the numbers in place of the variables.
please help with this question!!!
Answer:
bro i cant even read the highlighted numbers
Step-by-step explanation:
take a better photo
Estimate the value of 13 (between which two whole number)
Answer:
C
Step-by-step explanation:
between three and four
Please hurry I need it ASAP
Answer:
2\(\sqrt{17}\)
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = \(\sqrt{(7-(-1))^{2} + (4-2)^{2} }\)
Simplify, and you will get the answer
2\(\sqrt{17}\)