Hint : Search for chi distribution to find the expectation of
the sample standard deviation
7.7.7. Let X1, X2, ..., Xn be a random sample from N(C1, 62). (a) If the constant b is defined by the equation P(X < b) = p where p is specified, find the mle and the MVUE of b. =
Answers
Theorem 1: For a random sample from a normal population, the sample standard deviation follows the chi distribution with n - 1 degrees of freedom. Mathematically, the distribution of the random variable (n - 1)S²/σ² follows the chi-square distribution with n - 1 degrees of freedom (denoted by χ²(n - 1)).
For this particular problem, we will require the following theorem:
Theorem 1: For a random sample from a normal population, the sample standard deviation follows the chi distribution with n - 1 degrees of freedom. Mathematically, the distribution of the random variable (n - 1)S²/σ² follows the chi-square distribution with n - 1 degrees of freedom (denoted by χ²(n - 1)).
Using Theorem 1, we can find the expectation of the sample standard deviation (denoted by S) as follows:
We know that the expected value of χ²(n - 1) is (n - 1) and the expected value of σ² is equal to 62, by definition. Therefore, we can write:
E[(n - 1)S²/σ²] = E[χ²(n - 1)]
Multiplying both sides by σ²/(n - 1), we get:
E[S²] = σ²E[χ²(n - 1)]/(n - 1)
Substituting the expected value of χ²(n - 1), we get:
E[S²] = σ²(n - 1)/(n - 1) = σ²
Taking the square root on both sides, we get:
E[S] = σ
Therefore, the expectation of the sample standard deviation is equal to the population standard deviation. Now, coming back to the original problem:
Given that X1, X2, ..., Xn is a random sample from N(C1, 62), we need to find the MLE and the MVUE of the constant b such that P
(X < b) = p.
For this, we need to find the distribution of the random variable (X - C1)/σ, where σ is the population standard deviation.
We know that (X - C1)/σ follows the standard normal distribution (denoted by Z) under the null hypothesis.
Therefore, we can write:
P(X < b) = p ⇔ P((X - C1)/σ < (b - C1)/σ) = p ⇔ P(Z < (b - C1)/σ) = p
We can find the value of (b - C1)/σ such that
P(Z < (b - C1)/σ) = p
using the standard normal distribution table.
Let this value be denoted by zp, i.e.,
P(Z < zp) = p.
Then, we can write:
(b - C1)/σ = zp ⇔ b = C1 + σzp
Since we do not know the value of σ, we cannot find the exact value of b. However, we can find the MLE and the MVUE of b as follows:
MLE of b: Let X1, X2, ..., Xn be a random sample from N(C1, 62).
Then, the likelihood function is given by:
L(b | x) = f(x | b) = (1/√(2π62))^n exp(-∑(xi - b)²/(2*62))
The log-likelihood function is given by:
l(b | x) = ln L(b | x) = -n/2 ln(2π) - n/2 ln(62) - ∑(xi - b)²/(2*62)
The derivative of the log-likelihood function with respect to b is given by:
l'(b | x) = (1/62) ∑(xi - b)
Setting this derivative equal to zero, we get:
(1/62) ∑(xi - b) = 0 ⇔ b = (∑xi)/n
Therefore, the MLE of b is the sample mean, which is an unbiased estimator of C1.
MVUE of b: Let X1, X2, ..., Xn be a random sample from N(C1, 62).
Then, we know that (X - C1)/σ follows the standard normal distribution (denoted by Z) under the null hypothesis.
Therefore, the distribution of (X - b)/S is the t-distribution with n - 1 degrees of freedom (denoted by t(n - 1)).
We know that the statistic
T = (n - 1)S²/σ² follows the chi-square distribution with n - 1 degrees of freedom (denoted by χ²(n - 1)).
Also, we know that T/σ² follows the gamma distribution with shape parameter (n - 1)/2 and scale parameter 2.
Therefore, the distribution of the random variable Z = [(X - b)/S] √n follows the t-distribution with n - 1 degrees of freedom (denoted by t(n - 1)).
We can use the pivotal quantity Z = [(X - b)/S] √n to construct the confidence interval for (b - C1)/σ.
Specifically, we know that P(-t(n - 1, α/2) < Z < t(n - 1, α/2)) = 1 - α,
where t(n - 1, α/2) is the (1 - α/2)th quantile of the t-distribution with n - 1 degrees of freedom.
We can use this confidence interval to construct the confidence interval for b.
Specifically, we can write: P(-t(n - 1, α/2) < [(X - b)/S] √n < t(n - 1, α/2)) = 1 - α ⇔ P(X - t(n - 1, α/2) S/√n < b < X + t(n - 1, α/2) S/√n) = 1 - α
Therefore, the MVUE of b is the midpoint of this confidence interval, which is an unbiased estimator of C1.
To know more about standard deviation visit: https://brainly.com/question/13498201
#SPJ11
Related Questions
can someone pls help me?
abcd is a parallelogram and ab is produced to x such that ab=bx as shown in figure. show that dx and bc bisect eachother at o
Answers
Answer:
Step-by-step explanation:
Answer:
Since ABCD is a parallelogram, and we know that opposite sides of a parallelogram are equal. = AB =CD but, AB = BX i.e.,
CD= BX--------(i)
Now, In triangle XOB and DOC, angle BOX = COD (vert. opp. agl.) angle OBX= OCD (alt. int. agl.)
BX= CD [using (i) ]
By AAS, both the triangles are congruent.
So, by cpct, BO = OC and, OX = OD.
HENCE PROVED.
HOPE ! YOU GOT IT.
I need the answers please
Answers
The ordered pair that completes the table include the following:
z \(\frac{2z}{3} +1\)
1 5/3
2 7/3
5 13/3
11 25/3
How to complete the table?In order to use the given linear function to complete the table, we would have to substitute each of the values of z (z-values) into the linear function and then evaluate as follows;
When the value of x = 1, the linear function is given by;
y = 2z/3 + 1
y = 2(1)/3 + 1
y = 5/3.
When the value of x = 2, the linear function is given by;
y = 2z/3 + 1
y = 2(2)/3 + 1
y = 7/3.
When the value of x = 5, the linear function is given by;
y = 2z/3 + 1
y = 2(5)/3 + 1
y = 13/3.
When the value of x = 11, the linear function is given by;
y = 2z/3 + 1
y = 2(11)/3 + 1
y = 25/3.
Read more on linear function here: brainly.com/question/27325295
#SPJ1
Suppose that 5,000 sales invoices are separated into four strata. Stratum 1 contains 50 invoices, stratum 2 contains 500 invoices, stratum 3 contains 1,000 invoices, and stratum 4 contains 3,450 invoices. A sample of 500 sales invoices is needed.
Answers
To obtain a sample of 500 sales invoices from the given population of 5,000 invoices separated into four strata, you can use stratified random sampling.
In stratified random sampling, we divide the population into different groups or strata based on certain characteristics. The goal is to ensure that each stratum is represented in the sample proportionally to its size in the population.
In this case, we have four strata with different numbers of invoices. To calculate the sample size for each stratum, we use the formula:
Sample size for a stratum = (Size of the stratum / Total size of the population) x Desired sample size
For stratum 1: (50 / 5,000) x 500 = 5
For stratum 2: (500 / 5,000) x 500 = 50
For stratum 3: (1,000 / 5,000) x 500 = 100
For stratum 4: (3,450 / 5,000) x 500 = 345
Therefore, the sample size for each stratum is 5, 50, 100, and 345 invoices, respectively.
By selecting invoices randomly within each stratum according to their proportional sample size, you will have a representative sample of 500 invoices from the population.
To know more about random sampling visit:
https://brainly.com/question/33334850
#SPJ11
Be a kind soul and help me out please
Answers
well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".
so f(-1) => -2(-1) + 1 => 3.
Answer:3
Step-by-step explanation:
In this case x=-1 so you will use the top equation because x<1
so f(-1) = -2(-1) + 1
= 2+1
=3
Find a unit vector that has the same direction as the given vector. -5i + 9j. -5/ 106 i + 9/106 j
Answers
The unit vector that has the same direction as -5i + 9j is (-5/106)i + (9/106)j.
To find a unit vector with the same direction as a given vector, we need to:
Find the magnitude of the vector.Divide the vector by its magnitude.To find a unit vector with the same direction as -5i + 9j, we need to divide this vector by its magnitude:
For the vector -5i + 9j, the magnitude is:
\(| -5i + 9j | = sqrt((-5)^2 + 9^2) = sqrt(106)\)
To find a unit vector in the same direction, we divide the vector by its magnitude:
\((-5i + 9j) / | -5i + 9j | = (-5/106)i + (9/106)j\)
So, the unit vector that has the same direction as -5i + 9j is (-5/106)i + (9/106)j.
For such more question on vector:
https://brainly.com/question/15519257
#SPJ11
Give the slope and the y-intercept of the line y=-6x-2 Make sure the y-intercept is written as a coordinate. This means the y-intercept must be in the form (0,b)
Answers
In summary, the slope of the line is -6, and the y-intercept is (0, -2).
To find the slope and y-intercept of the line y = -6x - 2, we can compare it to the slope-intercept form of a linear equation, which is y = mx + b. In this form, "m" represents the slope, and "b" represents the y-intercept.
For the given equation y = -6x - 2:
1. Identify the slope (m): The coefficient of the x term, which is -6, represents the slope. Therefore, the slope (m) is -6.
2. Identify the y-intercept (b): The constant term, which is -2, represents the y-intercept. To express the y-intercept as a coordinate (0, b), substitute 0 for the x value. So the y-intercept coordinate is (0, -2).
In summary, the slope of the line is -6, and the y-intercept is (0, -2).
To know more about coordinate visit:
https://brainly.com/question/16634867
#SPJ11
Y=5x
A proportional relationship
Answers
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
pls help and show ur work
Answers
5.4 - 0.8 = 4.6
Answer = 4.6
how to find Rational numbers between 2 and 3
Answers
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer......
Hint: We will multiply and divide a same number greater than 2 to both the given numbers, say 3 as 3>2. When we will multiply and divide by 3, the numbers 2 and 3 will be equivalent to 63 and 93. Now, we can easily write two rational numbers between 2 and 3.
Hope it helps!
mark me brainliest plz......
Follow me! ;)
Step-by-step explanation:
You have to multiply both numbers by 3
2*3/3 = 6/3. and 3*3/3 = 9/3
Now, we can easily write two rational numbers between 2 and 3
7/3 , 8/3
carla has already written 10 pages of a novel. she plams to write 15 additional pages per month until she finishes. WRITE AND SOLVE A LINEAR EQUATION to find the total number of pages she write at 5 month y=mx+b
Answers
The total number of pages she write at 5 month is 85 pages
How to find total number of pages she writeThe simple method which can be used to obtain the total number of the pages she wrote is given below:
y = mx + b
Where,
y = total pages she writesx = additional number of pages written per month = 15 pagesm = Number of months = 5 monthsb = Pages already written = 10 pagesFind the total number of pages she write at 5 month
y = mx + b
= 5(15) + 10
= 75 + 10
y = 85 pages
So therefore, the total number of pages she write at 5 month is 85 pages.
Learn more on linear equation:
https://brainly.com/question/4074386
#SPJ1
Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
Answers
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
For more such questions on values
https://brainly.com/question/843074
#SPJ8
Compute the z score for the applicant. Applicant's score 21.0; Mean 18.0; Standard Deviation - 3.0 O2.0 O-10 10 O-20 O None of these
Answers
To compute the z-score for the applicant, we can use the formula:
z = (x - μ) / σ
Where:
x is the applicant's score
μ is the mean
σ is the standard deviation
Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.
z = (21.0 - 18.0) / (-3.0)
z = 3.0 / -3.0
z = -1.0
Therefore, the z-score for the applicant is -1.0.
The correct option is O-10.
Learn more about standard deviation here: brainly.com/question/29808998
#SPJ11
Which of the following equations has exactly one solution?
Answers
Answer:
A and B
Step-by-step explanation:
simplify both sides of the equation
add 4x to both sides subtract 3 from both sides. Divide both sides by 9 and that's it
If the equation given a unique and single value of variable after solving then the equation is said one solution equation.
The equation which has only one solution are,
\(5x+3=-2(2x+3)\)
Thus, the option C is the correct option.
How to find one solution of equation?
If the equation given a unique and single value of variable after solving then the equation is said one solution equation.
Such equation gives exactly one solution.
Given information-
To find the equation we have to solve each equation one by one.
A)The equation given in the problem is,\(-7x+2&=-3(x-3)-4x-7\\\)
Solve it further,
\(-7x+2&=-3x+9-4x-7\\-7x+2&=-7x+2\\.\;\;\;\;\;\;\;\;\;\;\;0=0\)
Thus this equation has no solution. Hence the option A is the incorrect option.
B)The equation given in the problem is,\(14x&=7(2x+2)\)
Solve it further,
\(14x&=14x+14\\.\;\;\;0=14\)
Thus this equation has no solution. Hence the option B is the incorrect option.
C)The equation given in the problem is,\(5x+3=-2(2x+3)\)
Solve it further,
\(5x+3=-(4x+6)\\5x+3=-4x-6\)
Bring the same variable terms one side.
\(5x+4x=-6-3\\9x=-9\\x=-1\)
As the expression of equation gives the value of variable which is -1.Thus this equation has one solution.
Hence the option C is the correct option.
D)The equation given in the problem is,\(3(4x+2)-9=12x-3\)
Solve it further,
\(12x+6-9=12x-3\\2x-3=12x-3\\.\;\;\;\;\;\;\;0=0\)
Thus, this equation does not has one solution.
Hence the option D is the incorrect option.
Hence the equation which has only one solution are,
\(5x+3=-2(2x+3)\)
Thus, the option C is the correct option.
Learn more about the solution of equation here;
https://brainly.com/question/21283540
What is the median of the data?
11,16,12,7,23,9,5,5
Answers
Answer:
5,5,7,*9,11,*12,16,23
Step-by-step explanation:
Since, the data has an even amount of numbers once, you put your numbers in order you place your pointer fingers from the 1st to last number & continue to move closer. There is an even amount of numbers so you would have to add the 2 numbers up & then divide them by 2.
9+11=20 divided by 2=10
Interest Rates: Different Types and What They Mean to Borrowers
Answers
There are different types of interest rates that borrowers should be aware of: 1. Fixed Interest Rates, 2. Variable/Adjustable Interest Rates, 3. Prime Interest Rates, 4. Annual Percentage Rate (APR)
Interest rates refer to the percentage charged by lenders on borrowed funds, which borrowers must pay in addition to the principal amount. They represent the cost of borrowing money and play a significant role in determining the affordability and overall cost of loans. Higher interest rates imply higher borrowing costs for borrowers, while lower interest rates can make borrowing more affordable.
Interest rates can vary depending on several factors, including the type of loan, the borrower's creditworthiness, prevailing market conditions, and central bank policies. There are different types of interest rates that borrowers should be aware of:
1. Fixed Interest Rates: These rates remain constant throughout the loan term, providing borrowers with predictable monthly payments. Fixed rates are commonly used for mortgages and long-term loans, offering stability and protection against potential rate increases.
2. Variable/Adjustable Interest Rates: Also known as adjustable rates, these rates can change over time based on an underlying benchmark rate, such as the prime rate or the London Interbank Offered Rate (LIBOR). Variable rates are often lower initially but can fluctuate, leading to changes in monthly payments.
3. Prime Interest Rates: The prime rate is the interest rate offered to a bank's most creditworthy customers. It serves as a benchmark for many other interest rates, such as variable rate loans and credit cards. Borrowers with strong credit histories may qualify for loans with rates below the prime rate.
4. Annual Percentage Rate (APR): The APR represents the true cost of borrowing by factoring in both the interest rate and associated fees. It provides a comprehensive measure of the total cost of a loan and helps borrowers compare different loan offers.
Understanding the different types of interest rates and their implications is crucial for borrowers when considering loans. It is essential to evaluate the overall cost of borrowing, including interest rates, fees, and repayment terms, to make informed financial decisions. Borrowers should shop around, compare offers from different lenders, and consider their financial situation and long-term affordability before committing to a loan.
Learn more about variables here:
brainly.com/question/15078630
#SPJ11
Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the third side of the triangle?
Answers
9514 1404 393
Answer:
A. √13
Step-by-step explanation:
You can make an educated guess and come to the right conclusion.
The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.
So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:
__
A -- between 3 and 4, the correct choice
B -- 3, too short
C -- 1.73, too short
D -- more than 4, too long
__
The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.
c = √(a^2 +b^2 -2ab·cos(C))
c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)
c = √13 . . . . . length of the side opposite the 60° angle
Barky's animal shelter has a total of 15
Chihuahuas and Yorkies. There are four
times as many Chihuahuas as Yorkies.
Using c for Chihuahuas and y for Yorkies,
determine which equation may be
used to represent this situation.
c=4+y
y=4+c
y=4c
c=4y
Answers
Answer:
c = 4y
Step-by-step explanation:
Are there more, Chihuahuas or Yorkies?
Does the word 'times' mean add, subtract, multiply or divide?
The way I look at it, there are more Chihuahuas and 'times' means multiply. Do you agree?
Therefore, I need to multiply 4 times the no. of Yorkies to get the no. of Chihuahuas
So, c = 4y
Now, I don't see an equation in the list to choose from. So, I don't know what to do from here. I am guessing that c = 4y is what you want.
5 Find the value of [1199-1000]
Answers
Answer:
The answer is 199
Step-by-step explanation:
1199-1000 = 199
This pentagonal right pyramid has a base area of 30 m. 5 m 7 m 8 m What is the volume of the figure?
Answers
The volume of the pentagonal right pyramid with base area 30 square metres and height 5 metre is 50 m³.
Therefore the answer is 50 m³.
To find the volume of a pentagonal pyramid, we can use the formula:
V = (Bh)/3
where V is the volume, B is the area of the base and h is the height.
Area of the base is given, B = 30 m². From figure it is evident that the height of the pentagonal right pyramid is 5m. Therefore the volume of the figure is
V = 30 × 5/ 3
V = 50 m³
--The question is incomplete, answering to the question below--
"This pentagonal right pyramid has a base area of 30 m². What is the volume of the figure?"
To know more on volume of pyramid
https://brainly.com/question/17615619
#SPJ4
Can yall answer this question?
Answers
Answer:
4/25
Step-by-step explanation:
This fraction to the power of 2 is the same as powering a normal number, so what you are going to do first is do each number Alone so 2 to the power of 3 is 4 and 5 to the power of 2 is 25 then just put it back to fraction 4/25
Hope this helpsssd
5Y/ Y-3
+
10/Y^2-Y-6
=
Y/Y+2
Answers
Answer:
y=1.110399 or y=−6.782628 or y=−1.327771
Step-by-step explanation:
Given the function, f(x)=10x-3,
what is the value of the function when x=-1/2
Answers
f(-1/2)=10(-1/2)-3
f(-1/2)=(-5)-3
f(-1/2)=-8
whats 4 x4 if the first to answer get brainliest
Answers
Answer:
16 my guy.
Step-by-step explanation:
Answer:
4*4=16
4+4+4+4=16
What is
the circumference of a circle with radius 3.5cm. Take [Pi=22/7]
Answers
Answer:
22cm
Step-by-step explanation:
Circumference of a circle = 2πr
π = 22/7
r = 3.5
Circumference of a circle = 2 × (22/7) × 3.5
Circumference of a circle = 22cm.
Given v =(-12,-4), what are the magnitude and direction of v? Round the magnitude to the thousandths place and the direction to the nearest degree.
11.314; 18°
11.314; 198°
12.649; 18°
12.649, 198°
Answers
Step-by-step explanation:
Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649
Angle = arctan(-4/-12) = 198 degrees
The Magnitude: 12.649 and Direction: 18° (option c).
To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:
Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)
Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)
where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.
Let's calculate:
Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)
Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°
Since we need to round the direction to the nearest degree, the direction is approximately 18°.
So, the correct answer is:
Magnitude: 12.649 (rounded to the thousandths place)
Direction: 18° (rounded to the nearest degree)
The correct option is: 12.649; 18°
To know more about Magnitude:
https://brainly.com/question/31022175
#SPJ2
f(x) = -8x + 20; 5 – 2[f(-1)]
Answers
The value of the function at the given value of x = -1 is 5 - 2[f(-1)] = -51
How to evaluate the function at the given value?The equation of the function is given as
f(x) = -8x + 20
The function to calculate is given as
5 - 2[f(-1)]
So, we start by calculating the value of the function at x = -1
This is represented as 'f(-1)
So, we have the following equation
f(-1) = -8(-1) + 20
Evaluate the product
So, we have the following equation
f(-1) = 8 + 20
Evaluate the sum
So, we have the following equation
f(-1) = 28
Substitute f(-1) = 28 in the expression 5 - 2[f(-1)]
So, we have
5 - 2[f(-1)] = 5 - 2 x 28
Evaluate the product
5 - 2[f(-1)] = 5 - 56
Evaluate the difference
5 - 2[f(-1)] = -51
Hence, the value is -51
Read more about functions at
https://brainly.com/question/28532394
#SPJ1
A consumer watchdog organization estimates the mean weight of 1-ounce "Fun-Size"
candy bars to see if customers are getting full value for their money. A random sample
of 25 bars is selected and weighted, and the organization reports that a 95% confidence
interval for the true mean weight of the candy bars is 0.982 to 0.988 ounces.
a) What is the point estimate (=sample mean) from this sample?
b) What is the margin of error?
(Hint: find the distance between the sample mean and the upper limit).
c) Interpret the confidence level of 90% in the context of the problem?
Answers
Point estimate from the sample is 0.985, margin error is 0.003.
What is Confidence Interval?Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.
(a) To calculate point estimate or sample mean :
Point estimate is the mid point of the confidence interval.
Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.
Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985
(b) Margin error is the one half of the total width of the interval.
Margin error = (0.988 - 0.982) / 2 = 0.003
(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.
Hence the point estimate and margin error are 0.985 and 0.003 respectively.
Learn more about Confidence Interval here :
https://brainly.com/question/18914334
#SPJ1
Which list shows the temperatures in order from coldest to warmest in degrees Fahrenheit?
A) -10°F 8°F -5°F 0°F
B) -5°F -10°F 0°F 8 °F
C) -10°F -5°F 0°F 8 °F
D) 0°F -5°F 8 °F -10°F
Answers
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-10^F, -5^f, 0^f, 8^F
solve for x, I tried but I got a wrong .
Answers
Answer:
im pretty sure its 62
Step-by-step explanation:
can 0 go into 4 and 4 go into 8 an 8 go into 12
Answers
Answer:
No
Step-by-step explanation:
Answer:
0 cannot go into 4
4 can go into 8
8 cannot go into 12