find a 99% confidence interval for the average height of a daughter whose father is six feet two inches tall and whose mother is five feet four inches tall. round your answer to two decimal places, if necessary.
Answers
The height range for a daughter, with a father's height of 6 feet 2 inches and a mother's height of 5 feet 4 inches, can be predicted with 99% confidence to be roughly between 52.35 inches and 81.13 inches.
To calculate the critical value for a 99% confidence interval, we need to consider the degrees of freedom and the desired level of significance (alpha).
In this case, we have a simple linear regression model with two predictor variables (mother's height and father's height). Therefore, the degrees of freedom (df) for the critical value calculation would be (n - k - 1), where n is the sample size and k is the number of predictor variables.
Given that we have 13 observations and 2 predictor variables, we have:
df = 13 - 2 - 1 = 10
To find the critical value, we need to determine the t-value for a 99% confidence interval with 10 degrees of freedom. We can consult a t-distribution table or use statistical software to find this value.
Using statistical software or a t-distribution table, the critical value for a 99% confidence interval with 10 degrees of freedom is approximately 3.169.
Now, with the predicted daughter's height of 66.74 inches and the standard error of estimate (SE) of 4.53 inches, we can calculate the 99% prediction interval.
Lower limit of the prediction interval = predicted height - (critical value * SE)
Lower limit = 66.74 - (3.169 * 4.53)
Lower limit ≈ 66.74 - 14.39
Lower limit ≈ 52.35 inches
Upper limit of the prediction interval = predicted height + (critical value * SE)
Upper limit = 66.74 + (3.169 * 4.53)
Upper limit ≈ 66.74 + 14.39
Upper limit ≈ 81.13 inches
Therefore, the 99% prediction interval for the height of a daughter, given a father's height of 6 feet 2 inches (74 inches) and a mother's height of 5 feet 4 inches (64 inches), is approximately 52.35 inches to 81.13 inches.
Learn more about confidence interval here: https://brainly.com/question/32546207
#SPJ11
The complete question is:
A researcher has collected a random sample of heights of parents and their female children (all heights are in inches). The heights of the mother, father, and daughter are recorded in the following table.
Heights of Parents and Daughters (inches) Mother 71 68 63 69 60 62 69 58 72 63 72 71 66 Father 77 65 64 72 71 65 67 76 65 74 72 74 66 Daughter 73 66 62 68 63 61 68 65 69 65 72 71 65
Find a 99% prediction interval for the height of a daughter whose father is six feet two inches tall and whose mother is five feet four inches tall. Round your answer to two decimal places, if necessary.
Related Questions
Give an example of two angles that are supplementary and adjacent
thx to whoever gives the answer
Answers
Answer:
120 and 60 (both add 180)
Step-by-step explanation:
If two supplementary angles are adjacent to each other then they are called linear pair.
Write your own system with three variables. Begin by choosing the solution. Then write three equations that are true for your solution. Use elimination to solve the system.
Answers
The solution to the system of equations is x = 9, y = -4, and z = -17.
Let's choose the solution for the system as follows:
x = 2, y = 3, z = 4
Now, let's write three equations that are true for this solution:
Equation 1: x + y = 5
When we substitute x = 2 and y = 3 into the equation, we get:
2 + 3 = 5, which is true.
Equation 2: 2x - y + z = 9
Substituting x = 2, y = 3, and z = 4 into the equation:
2(2) - 3 + 4 = 4 - 3 + 4 = 5 + 4 = 9, which is true.
Equation 3: 3x + z = 10
Substituting x = 2 and z = 4 into the equation:
3(2) + 4 = 6 + 4 = 10, which is true.
Now, let's use the method of elimination to solve the system of equations:
Equation 1: x + y = 5
Equation 2: 2x - y + z = 9
Equation 3: 3x + z = 10
To eliminate y, we can multiply Equation 1 by 2 and add it to Equation 2:
2(x + y) + (2x - y + z) = 2(5) + 9
2x + 2y + 2x - y + z = 10 + 9
4x + z = 19
Now, we have two equations:
Equation 2': 4x + z = 19
Equation 3: 3x + z = 10
Subtracting Equation 3 from Equation 2':
(4x + z) - (3x + z) = 19 - 10
4x - 3x = 9
x = 9
Substituting the value of x into Equation 3:
3(9) + z = 10
27 + z = 10
z = 10 - 27
z = -17
Substituting the values of x and z back into Equation 1:
9 + y = 5
y = 5 - 9
y = -4
Therefore, the solution to the system of equations is x = 9, y = -4, and z = -17.
Learn more about equations here:
https://brainly.com/question/29775795
#SPJ11
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Mark this and retu
Answers
Answer: Wilhem
Step-by-step explanation:
Wilhem is correct because he did 32+8=40 and 40-190= 30 and if 30g=150, g will be 5 because you will divide 30 from both sides and 150/30=5.
Wilhem's explanation of adding 32 and 8 to get 40, subtracting 10 to get 30, and then dividing both sides by 30 to find the value of g as 5 is the correct method for solving the equation.
Therefore, Wilhem's work is correct.
which rule best represents the dilation that was aplied to figure p to created figure q
Answers
The transformation that is used to transform the figure P to figure Q is described by (b) (x, y) → (x+5, y+3).
The Transformation of the "figure P" being translated 5 units to the right and 3 units up to create the "figure Q" is called as a type of "translation" in the coordinate plane.
When we shift a point (x, y) by "a" units to the right and "b" units up, the new coordinates become as ⇒ (x + a, y + b).
The coordinates of "figure P" is translated 5 units to the right and 3 units up, that means we will use the rule (x,y) → (x+5, y+3) to describe the transformation.
Therefore, the correct transformation used is (b) (x, y) → (x+5, y+3).
Learn more about Transformation here
https://brainly.com/question/14717722
#SPJ4
The given question is incomplete , the complete question is
A "figure P" was translated 5 units to the right and 3 units up to create "figure Q". Which rule describes this transformation ?
(a) (x, y) → (x-5, y-3)
(b) (x, y) → (x+5, y+3)
(c) (x, y) → (x-3, y-5)
(d) (x, y) → (x+3, y+5)
How many push ups will Scott do on day 10 and 20?
How many push ups can scott expect after 4 weeks?
Lisa is also including pushups in her workout and says she does more push ups than Scott because she does fifteen push ups each day, is she correct?
If any one is answering this can you explain how you got the answer.
Answers
Answer:I think 57Step-by-step explanation:
Cuz its adding 2 every time then I just did 28 x 2 and added the extra. Does that make sense?
4 x 8 = 28
28 x 2 = 56
56 + 1 = 57
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ____________ as the margin of error increases.
Answers
Given margin of error increases as the margin of error increases.
To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.
The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.
∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.
Learn more about Margin Of Error here :
brainly.com/question/29982243
#SPJ4
Consider the Euclidean plane in which points, lines, line segments, and distance are defined, but not coordinates. Write a definition of the midpoint of a line segment that depends only on the idea of distance, and explain why you think it is reasonable.
Answers
In the Euclidean plane, the midpoint of a line segment is defined as a point that divides the segment into two equal segments.
This means that the distance from one endpoint of the segment to the midpoint is equal to the distance from the other endpoint to the midpoint.
It is reasonable to define the midpoint of a line segment based on the idea of distance because distance is a fundamental concept in geometry and can be defined without reference to coordinates.
Summary: In conclusion, the midpoint of a line segment in the Euclidean plane is defined as a point that divides the segment into two equal segments. This definition is based on the idea of distance, which is a fundamental concept in geometry that can be defined without reference to coordinates.
Learn more about Euclidean plane click here:
https://brainly.com/question/2251564
#SPJ11
You have $1,000 of birthday money in a savings account that earns 8% simple interest. If you have not spent any of it for 5 years, what is your TOTAL balance? (Balance = Principal + Interest)
Answers
Answer:
Your Balance Would Be $1400.
How I Found The Answer:
$1000 Is 100%
$1000 ÷ 100 = $10
$10 Is 1%
$10 × 8 = $80
$80 × 5 = $400
$1000 + $400 = $1400
Your Balance Would Be $1400.
Consider three pallet locations A, B, and C, for which the travel time from the receiving area to the storage area is 1, 2, and 2 minutes, respectively. Two skus move through these locations, x and y, which must be managed strictly through a PEPS policy. Every three days a pallet of SKU "x" is dispatched in the morning and a pallet is received in the afternoon and stored. Every two days a pallet of SKU "y" is dispatched in the morning and a pallet is received in the afternoon and stored. You maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times.
a. If you are using a static storage policy, what is the allocation of SKUs to storage locations that minimizes labor? Justify your answer. What is the average number of minutes per day spent moving these products?
b. What is the lowest value of average minutes per day used to move these SKUs if you adopt a heap policy? Does it make a difference where I place the SKUs initially?
Answers
A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.
B. The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.
a. Static Storage Policy:
To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.
Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:
SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).
SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).
By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.
The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:
SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.
SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.
Adding up the average daily movement times for SKU x and SKU y, we get:
Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.
Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.
b. Heap Policy:
The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.
To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.
Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y
SKU x: Travel time from storage to the receiving area = 1 minute
SKU y: Travel time from storage to the receiving area = 2 minutes
Average daily movement time:
SKU x: (1/3) minutes per day
SKU y: (2/2) minutes per day
Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day
Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x
SKU y: Travel time from storage to the receiving area = 1 minute
SKU x: Travel time from storage to the receiving area = 2 minutes
Average daily movement time:
SKU y: (1/2) minutes per day
SKU x: (2/3) minutes per day
Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day
Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.
Learn more about lowest value from
https://brainly.com/question/30236354
#SPJ11
Please help out, I need it right this instant!!
Answers
Skye's estimated cost per year with the financial aid, is x - 6400
The estimated costFrom the question, we have the following
Scholarship and grant = $4300
Work-study = $2100
So, the total is
Total = 4300 + 2100
Total = 6400
This is then subtracted from the total estimated expenses for the year
Representing this with x, we have
Estimated cost = x - 6400
How much will Skye contribute each yearIn (a), we have
Estimated cost = x - 6400
Then we have
Famiily = 7000
This means that
Skye's contribution = x - 6400 - 7000
Evaluate
Skye's contribution = x - 13400
Checking if Skye will save enoughWe have
Monthly savings = $300
So, the total savings per year is
Annual = $3600
In (b), we have
Skye's contribution = x - 13400
So, the remaining is
Remaining = x - 13400 - 3600
Evaluate
Remaining = x - 17000
The above may or may not cover the total expenses, depending on the value of x
Read more about expressions at
https://brainly.com/question/31022691
#SPJ1
Compare the functions shown below: f(x) = (x + 3)2 − 2 g(x) linear graph with y intercept of negative 3 over 2 and x intercept of 3 h(x) x y −3 2 −2 7 −1 14 0 23 1 34 2 47 3 62 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?
Answers
Answer:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
Step-by-step explanation:
Answer:
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Step-by-step explanation:
when group a loses an item or items to group b even though group a's population grew at a faster rate than group b's, the _______ paradox occurs.
Answers
When Group A loses an item or items to Group B even though Group A's population grew at a faster rate than Group B's, the Simpson's Paradox occurs.
This statistical anomaly happens when a trend appears in different groups of data, but disappears or reverses when the groups are combined. It is crucial to consider the context and variables involved when analyzing data, as the Simpson's Paradox may lead to incorrect conclusions if only aggregate data is examined.
This paradox serves as a reminder to always investigate the underlying factors that may influence statistical results.
Learn more about Simpson's paradox at
https://brainly.com/question/31679249
#SPJ11
Find two numbers such that their sum is 10 and their
product is 22.
Answers
If triangle ABC is an equilateral triangle and the measure of angle A is
5x, what is the value of x?
Answers
Answer:
A not enough
Step-by-step explanation:
At the beginning of the year, a company estimates total overhead costs of $1,309,620. The company applies overhead using machine hours and
estimates that it will use 2,990 machine hours during the year. What amount of overhead should be applied to a job that uses 30 machine hours that
year?
Answers
If at the beginning of the year, a company estimates total overhead costs of $1,309,620. The amount of overhead should be applied to a job that uses 30 machine hours that year is: 13,140.
What amount of overhead should be applied to a job?Overhead rate per machine hour = Total estimated overhead costs / Estimated number of machine hour
Overhead rate per machine hour = $1,309,620 / 2,990
Overhead rate per machine hour = $438 per machine hour
Overhead applied to job = Overhead rate per machine hour x Number of machine hours used
Overhead applied to job = $438 x 30
Overhead applied to job = $13,140
Therefore, the amount of overhead is $13,140.
Learn more about overhead here:https://brainly.com/question/13037939
#SPJ1
Which expression is equivalent to 54× 3352× 3254× 3352× 32? Responses 56×3556×355 to the 6th power times 3 to the 5th power 757575 1751751 over 75 156 × 35
Answers
The expression that is equivalent to (5^4 × 3^3)(5^2× 3^2) is 5^6 × 3^5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equivalent expression?The expression is given as
54× 3352× 32
Rewrite the expression properly as follows
So, we have
(5^4 × 3^3)(5^2× 3^2)
Express as products
So, we have
(5^4 × 3^3)(5^2× 3^2) = 5^4 × 3^3 × 5^2× 3^2
Rewrite the common factors
So, we have
(5^4 × 3^3)(5^2× 3^2) = 5^4 × 5^2 × 3^3 × 3^2
Apply the law of indices
So, we have
(5^4 × 3^3)(5^2× 3^2) = 5^6 × 3^5
Hence, the expression that is equivalent to (5^4 × 3^3)(5^2× 3^2) is 5^6 × 3^5
Read more about equivalent expression at
https://brainly.com/question/2972832
#SPJ1
Can I please get the answer?
Answers
Answer:
24x+10y≥200
Step-by-step explanation:
Answer:
Step-by-step explanation:
\(24x+10y\ge 200\\ \\ 12x+5y\ge 100\)
You have a bag that contains 7 red marbles and 5 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of these dependent events. Simplify as needed. Choosing a red marble and then a blue marble
Answers
Answer:
Step-by-step explanation:
12 marbles in total. The possibility of pulling out a red marble is going to be 7/12. Since you would then take the marble out, you'll have 11 marbles left. After that, it'll be 5/11.
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
commutative property of addition
distributive property
additive identity
additive inverse
Answers
Answer:
commutative property of addition
Step-by-step explanation:
Answer:
commutative property of addition
Step-by-step explanation:
Plea look at the photo of Parallelogram properties.
Question: Find the measurement indicated in each parallelogram.
Please explain it you can:)
Answers
Answer:
1. 45
2. 105
3. 95
4. 85
Step-by-step explanation:
For problems 1 and 4:
Consecutive angles are supplementary in a parallelogram, which means they equal 180.
180 - 135 = 45
180 - 95 = 85
For problems 2 and 3:
Opposite angles are congruent or equal each other in a parallelogram,
please help me with this question!!
Answers
Answer:
x=10
Step-by-step explanation:
Use pythagorean theorem, a^2+b^2=c^2
24^2 + b^2 = 26^2
576 + b = 676
676-576=100
\(\sqrt{x} 100\)=10
Answer:
x = 10
Step-by-step explanation:
Let b represent x.
Use the Pythagorean Theorem:
\(a^{2} + b^{2} = c^{2}\)
24² + b² = 26²
24² = 576
26² = 676
576 + b² = 676
Subtract 576 from both sides:
b² = 100
Square root of 100:
x = 10
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)
What is the value of the expression below?
72 ÷ 4.5x3+8
Answers
Answer:
56
Step-by-step explanation:
Apply PEMDAS:
\(72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}\)
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5
Answers
for parts b and c what value of x makes each equation true ?
b: 5x+4-8x=6-3x-7
c:27-3-4x
Answers
A trapezoid with area 55 square units is dilated by a scale factor of k. If k is equal to 2/3, find the area of the image.
Answers
Answer as a fraction = 220/9
Answer in decimal form = 24.44 approximately
=======================================================
Explanation:
The linear scale factor is k = 2/3.
The area scale factor is k^2 = (2/3)^2 = 4/9
We'll multiply the old area (55) by the area scale factor (4/9) to get the area of the smaller image.
55*(4/9) = 220/9 = 24.44 approximately
A little help :) Appreciated - 40 points
Answers
b = 2,4
c = 2/5
d = 1/5
e = 2/5
f = 1,3,5
g = 3/5
Ok lease answer asap
Answers
A crew of highway workers paved 2/15 mile in 20
minutes. If they work at the same rate, what portion of
a mile will they pave
in an hour?
Answers
Answer:
So they would pave 3×215=3 ×23 ×5=25 mile/hr.
Step-by-step explanation:
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answers
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
#SPJ2
The souvenir shop at the park city zoo recived a shipment of new T-shirts. Each shirt priginally cost $12 but will be sold for $15 in the souvenir shop. What is the percent markup on the shirts?
(Please show calculations aswell ; I’ll make you brainlist after a day cuz mine doesn’t work when I first see the comment-)
Answers
Answer:
25%
Step-by-step explanation:
we can use this formula to find percent of change:
(new value minus original value) divided by original value
(15 - 12) / 12 = 3/12 or 1/4, which is 25%
The percentage markup of the T-shirts =25%
Calculation of the percentage markupThe original cost of each T-shirt = $12
The cost it would be should at souvenir shop = $15
The markup prize = 15 – 12 = $3
The percentage of $3 of original cost of $12 =
3/12 × 100
= 300/12
= 25%
Therefore, the percentage markup of the T-shirts = 25%
Learn more about percentage here:
https://brainly.com/question/17880579