If you are testing the null hypothesis with an alpha value of 0.05, will the critical value be smaller or larger than if you were testing the alpha value of 0.01? why?
Answers
In summary, the critical value for a hypothesis test with an alpha value of 0.01 will be larger than that for an alpha value of 0.05, because the more stringent alpha level requires stronger evidence to reject the null hypothesis.
The critical value for a hypothesis test is determined by the level of significance, which is typically denoted by alpha (α). An alpha level of 0.05 means that the hypothesis test has a 5% probability of rejecting the null hypothesis when it is actually true. An alpha level of 0.01 means that the hypothesis test has a 1% probability of rejecting the null hypothesis when it is actually true.
The critical value is the threshold value beyond which the test statistic is considered to be significant. As the alpha level decreases, the critical value increases. This is because a smaller alpha level implies a greater level of confidence in the test results, and therefore a more stringent threshold for declaring statistical significance.
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Related Questions
I need to know how to know the answer and how to solve this
Answers
Answer:
the line equals 180 degrees...
(4q-1)+117= 180
-117 -117
4q-1=63
+1 +1
4q= 64
/4 /4
q= 16 degrees
Step-by-step explanation:
Find the length of BC.
A)8
B)12
C)16
D)18
Answers
Answer:
i think its A (edit: im gonna take that back because i was looking at the wrong side, logically it is 12)
Step-by-step explanation:
Answer:
B. 12
Step-by-step explanation:
logically speaking is 12
what type of statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population from which the sample sia sssumed to have been selecteed
Answers
We use Inferential Statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population.
Given that;
What kind of statistics is used to gauge the likelihood that a statistical finding based on information from a random sample is representative of the population the sample is presumed to have been drawn from?
Inferential Statistics:
You attempt to conclude using inferential statistics that go beyond the immediate facts alone. For instance, we use inferential statistics to try to infer what the population would think from the sample data. Alternately, we utilize inferential statistics to assess the likelihood that an observed difference between groups in this study is a reliable one or one that may have occurred by chance. Descriptive statistics are used to simply describe what's happening in our data, while inferential statistics are used to conclude more general conditions from our data.
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Write the equation of the line represented by the table below. Thank you anyone for helping!
Answers
Answer:
A. y = -3x + 5
Step-by-step explanation:
Use any two points to find slope, let's use (-2, 11) and (4, -7):
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-7 - 11) / (4 - (-2))
= -18 / 6
m = -3
Use above slope and any one point to find y-intercept, let's use (10, -25):
y = mx + b
-25 = -3(10) + b
-25 = -30 + b
b = 5
Use m and b above to form equation of line:
y = mx + b
y = -3x + 5
Can I have some help please??? Thanks!!!!
Answers
Answer:
60 units^2
Step-by-step explanation:
In order to find the area of a triangle, you do baseXheight/2. However, we don't have the height. So, we use the pythagorean theorem to solve for the missing side.
8^2+x^2=17^2
64+x^2=289
x^2=225
x=15
So, now we can solve for the area.
15*8=120
And divide by 2 we get 60
Find the 60th term of the arithmetic sequence 4,-1,-6-
Answers
Answer:
-291
Step-by-step explanation:
The common difference is -5
So the 60th term of the arithmetic sequence is
4+(60-1)×-5
=4+59×-5
=4+-295
=-291
The 60th term of the given arithmetic sequence will be -291.
What is an arithmetic progression?
Arithmetic progression is a sequence of numbers in which each element differs from its preceding element by a constant value. This constant value is called common difference of the arithmetic progression. Mathematically, we denote common difference by [d]. We can write the arithmetic sequence as -
a, a + d, a + 2d, .... , a + nd
Given is the following sequence -
4, -1, -6, ...
The formula to calculate the nth term of an A.P. is as -
a[n] = a + (n - 1)d
Now, from the sequence given -
[a] = 4
[d] = - 1 - 4 = - 5
Substituting the values in the nth term of the sequence, we get -
a[60] = 4 + (60 - 1)(- 5)
a[60] = 4 + 59(-5)
a[60] = 4 - 295
a[60] = - 291
Therefore, the 60th term of the given arithmetic sequence will be -291.
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Find the difference (5-8i)-(-6-11i)
Answers
Work Shown:
(5-8i)-(-6-11i)
5-8i+6+11i ....... distribute
(5+6) + (-8i+11i) .... group like terms
11 + 3i ..... combine like terms
Solve the triangle. \[ a=8, b=4, C=130^{\circ} \] \( c \approx \) (Round to two decimal places as needed.)
Answers
Given,\(a=8, b=4 and C=130°\)We need to find c and the angles A and B.To solve the given triangle, we will use the Law of Cosines.\(C^2 = A^2 + B^2 - 2AB\)
cosCwhere, \(A=8, B=4 and C=130°C^2 = 8^2 + 4^2 - 2(8)(4)cos130°C^2 = 80.84\)
Taking square root on both sides,\(c = √(80.84)c = 8.99So, c ≈ 8.99,\) (rounded to two decimal places)
Now, we will use the Law of Sines to find the angles.\(sinA/a = sinB/b = sinC/csinA/8 = sinB/4 = sin130°/8.99sinA/8 = sinB/4sinA/sinB = 8/4sinA/sinB = 2\)
We have two unknowns and one equation, so we need another equation to solve the angles of the triangle.
Using the fact that the sum of the angles in a triangle is 180°, we have\(A + B + C = 180°A + B = 50°\)
We will use the equation, \(sinA/sinB = 2to solve for A and B.sinA/sin(50°-A) = 2sinA/(sin50°cosA - cos50°sinA) = 2tanA/(0.964966 - 0.262375tanA = 2(0.702113)tanA = 1.404226A = tan⁻¹(1.404226)A = 54.4°B = 50° - 54.4°B = -4.4°\)
We know that the sum of the angles in a triangle is 180°.
However, we obtained a negative value for angle B which is not possible.
Therefore, there is no triangle with the given dimensions.
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describe the graph of the solution
Answers
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
Elisas hair was 12 inches long after her last haircut. Since then it has grown 1/2 inch each month . Elisas hair is now 15 inches long. How many months has it been since her last haircut?
Which equation models this situation?
A. 1/2x + 15=12
B. 12-1/2x=15
C. 1/2x+12=15
D. 2x+12=15
Answers
Answer:
C. 1/2x+12=15
Step-by-step explanation:
Answer:
Step-by-step explanation:
C. 6 months
1/2x+12=15
1/2x=3
x=6
Hi! I was shown the problem integral -3/sqrt(64-9x^2)dx but a classmate and was wondering if someone could explain it again. This is the work they showed me
Answers
From the problem, we have :
\(\int -\frac{3}{\sqrt[]{64-9x^2}}dx\)We need to think of a square number that if we multiply it by 9, the result is 64.
That would be 64/9
\(9\times\frac{64}{9}=64\)The square root of 64/9 is 8/3.
Let u = 3x/8
8u = 3x
x = 8u/3 (This value is the same as we've got above 8/3)
du = 3/8 dx
dx = 8/3 du
Subsitute x = 8u/3 and dx = 8/3 du
\(\begin{gathered} \int -\frac{3}{\sqrt[]{64-9(\frac{8u}{3})^2}}\times\frac{8}{3}du \\ \Rightarrow\int -\frac{8}{\sqrt[]{64-9(\frac{64}{9}u^2)}}du \\ \Rightarrow\int -\frac{8}{\sqrt[]{64-64u^2}}du \end{gathered}\)Extract the square root of 64 which is equal to 8.
\(\begin{gathered} \Rightarrow\int -\frac{8}{\sqrt[]{64-64u^2}}du \\ \Rightarrow\int -\frac{8}{8\sqrt[]{1-u^2}}du \\ \Rightarrow\int -\frac{1}{\sqrt[]{1-u^2}}du \end{gathered}\)Note that the identity :
\(\int \frac{1}{\sqrt[]{1-u^2}}du=\sin ^{-1}(u)+C\)It follows that :
\(\int -\frac{1}{\sqrt[]{1-u^2}}du=-\sin ^{-1}(u)+C\)Bring back u = 3x/8, the answer is :
\(-\sin ^{-1}(\frac{3x}{8})+C\)E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0)). E temperature at the point (1, 0, 0) is 120○c
Answers
(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.
How to calculate temperature?The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.
The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location
(x, y, z) is a point on the sphere, the temperature at this point is given by
\(T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}\)
Where k is constant, then we have
T(1, 2, 2) = k/3 = 170
k = 510
So
\(T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}\)
Then we have
\(\rm \triangledown T = \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)\)
Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)
So u = (3/√19, 1/√19, 3/√19)
Then we get
\(\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}\)
The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \(\triangledown\)T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.
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ical candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. if the candidate wants a 1% margin of error at a 90% confidence level, what size of sample is needed? be sure to round accordingly.
Answers
The size of sample is 6765 if the candidate wants a 1% margin of error at a 90% confidence level.
Define margin of error.A statistic called the margin of error measures the degree of random sampling error in a survey's findings. It states a probability that the outcome of a sample is likely to be close to the conclusion one would obtain if the entire population had been questioned. a figure derived from a random sample that indicates the likely magnitude of the sampling error in a population parameter estimate.
Given,
Margin of error = 0.01
Confidence level = 90%
Let proportion of people be 0.5
E = Z × √\(\frac{P(1-P)}{n}\)
n = P(1-P) (Z/E)²
n = 0.5(1 - 0.5) (1.546/0.01)²
n = 6765.0625
n = 6765
The size of sample is 6765 if the candidate wants a 1% margin of error at a 90% confidence level.
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Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot
D. 25 27 29 31 33 35
Answers
Answer:
it s d
Step-by-step explanation:
Hurry answer plsss I'll give brainlest
Answers
Answer:
2.32x10^-11
here ya go luv <3
Find the geometric mean of 3 and 48.
Answers
Point s is on line segment rt. given rt = 19 and rs = 6, determine the length st
Answers
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
What is the length of a line segment collinear to another line segment?
According to the statement seen in this question, the line segments RT and ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:
RT = RS + ST
ST = RT - RS
ST = 19 - 6
ST = 13
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
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If 15 baseballs cost $9 how much would 30 cost
Answers
Answer:
18$
Step-by-step explanation:
15 baseballs = 9$
15 * 2 = 30
9 * 2 = 18
Answer:
$18
Step-by-step explanation:
9 times 2 becuse 15 times 2 is 30
A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for Pi.
976.24 mm
976.54 mm
1,852.08 mm
1,953.08 mm
Answers
Answer:
4th option: 1953.08 mm
Step-by-step explanation:
circumference of circle= \(\pi d\)
Thus, circumference of wheel
\( = 3.14(622) \\ = 1953.08mm\)
Answer:
D.
Step-by-step explanation:
Fritz can build a bookcase in 8 hours and Holly can build the same bookcase in 10 hours. After working together for 3 hours, Fritz leaves how long will it take holly to finish the bookcase by herself?
Answers
Holy will take 13/5 or 2.6 hours to finish the bookcase.
What is relation between time and work?The relation between time and work is
Work Done = Time Taken × Rate of Work ·
or, Rate of Work = 1 / Time Taken ·
or, Time Taken = 1 / Rate of Work ·
Now it is given that,
Time taken by Fritz to build a bookcase = 8 hours
So, Bookcase build by Fritz in 1 hour = 1/8
Similarly,
Time taken by Holly to build a bookcase = 10 hours
So, Bookcase build by Holly in 1 hour = 1/10
So, bookcase build in 3 hours
Fritz = 3/8
Holly = 3/10
Total bookcase build in 3 hours = 3/8 + 3/10 = 27/40
So. remaining work = 1 - 27/40 = 13/40
Thus, Time taken by Fritz to complete the bookcase = 8 * (13/40) hours
= 13/5 or 2.6 hours
Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.
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What is an equivalent expression for 27+3x
Answers
The equivalent expression is 81 + 9x
What is an algebraic expression?An algebraic expression is simply defined as an expression that is composed of terms, variables, coefficients, factors and constants.
They are also made up of arithmetic operations like subtraction, division, addition, multiplication, bracket and parentheses.
Equivalent expressions are defined as expressions with the same solution but which differs in the mode of their arrangement.
From the information given, we have that;
27+3x
Multiply the values by 3 each, we get;
81 + 9x
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Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3≤x≤5.
Answers
The average rate of change of function in the interval 3 ≤ x ≤ 5 is → Δr = (b - a)/2
What is a function? Define its domain and range?An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.Domain represents the set of values along the {x} - axis or the possible values of {x} for which f{x} exists.Range represents the set of values along the {y} - axis or the possible existing values of f{x} for a specific value of {x}.Given is a function f{x}.
Since the table is not given, let's assume that -
f{3} = a ... Eq { 1 }
f{5} = b ... Eq { 2 }
Then, we can write the average rate of change as -
Δr = (b - a)/(5 - 3)
Δr = (b - a)/2
Therefore, the average rate of change of function in the interval 3 ≤ x ≤ 5 is → Δr = (b - a)/2.
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ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
Answers
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Ali has $50 to spend on used books. Hardcover books cost $7 and paperback books cost $3 each. What equation in standard form determines the
number x of hardcover books and the number y of paperback books he can buy?
The equation in standard form is
Asap plz
Answers
what would be 8/1 x 1/2
Answers
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
\(8\times \dfrac 12 = 4\)
Anyone? Help..............
Answers
Answer: what is your question. show full picture
Step-by-step explanation:
Answer:
1. A) a=c-b, B) b=c-a
2. A) a = b +c. B) c=-b+a
3. A) P= \(\frac{s}{qr}\) B) r = \(\frac{s}{pq}\)
Step-by-step explanation:
find the terminal point p(x y) on the unit circle determined by the given value of t. t=7π/6
Answers
P(x, y) on the unit circle determined by the given value of t which is t = 7π/6 is:P(x, y) = (-√3/2, -1/2)
To find the terminal point P(x, y) on the unit circle determined by the given value of t which is t = 7π/6, we need to use the trigonometric functions, sin and cos of t in the Cartesian coordinate system.
The unit circle is the circle with center at the origin and a radius of 1. In the Cartesian coordinate system, the point (cos θ, sin θ) lies on the unit circle for any angle θ measured in radians.
So, the given angle is t = 7π/6 = 210° which is in the third quadrant.
In the third quadrant, cos θ is negative and sin θ is negative.
So, cos(7π/6) = -√3/2 and sin(7π/6) = -1/2.
Now, P(x, y) on the unit circle determined by the given value of t which is t = 7π/6 is:P(x, y) = (-√3/2, -1/2)
Answer: (-√3/2, -1/2)
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pla shop mathematics
Answers
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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you toss a pair of fair six-sided dice. 6-sided green and red dice 2 (a) determine the number of possible outcomes. (the size of the sample space) (b) how many outcomes are possible with odd numbers appearing on each die? (c) what is the probability that both dice will show an odd number? (round your answer to two decimal places.)
Answers
(a) There are 36 possible outcomes.
(b) There are 9 outcomes possible with odd numbers appearing on each die.
(c) The probability that both dice will show an odd number is 0.25
To determine the number of possible outcomes, we multiply the number of possible outcomes for each die, which is 6. Therefore, the total number of possible outcomes is
6 x 6 = 36
To count the number of outcomes with odd numbers on each die, we need to count the number of ways we can get an odd number on one die and an odd number on the other die. Since there are three odd numbers on each die (1, 3, 5), there are three ways to get an odd number on each die. Therefore, the total number of outcomes with odd numbers on each die is
3 x 3 = 9
To calculate the probability of both dice showing an odd number, we need to divide the number of outcomes with odd numbers on each die (which is 9, as calculated in part (b)) by the total number of possible outcomes (which is 36, as calculated in part (a)). Therefore, the probability of both dice showing an odd number is
9/36
which simplifies to 1/4 or 0.25 when rounded to two decimal places.
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A cuboid has volume of 120cm.
The area of the base of the cuboid is 30cm?
Work out the surface area of the cuboid.
Answers
Answer:
already answered
Step-by-step explanation:
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