Bootstrap sampling is a resampling technique used to estimate the sampling distribution of a statistic. In this case, we have a sample of weight changes (kg) of college students in their freshman year: 11, 5, 0, -8.
We generate ten bootstrap samples by randomly selecting observations with replacement from the original sample. The bootstrap samples obtained are: {11, 11, 11, 0}, {11, -8, 0, 11}, {11, -8, 5, 0}, {5, -8, 0, 11}, {0, 0, 0, 5}, {5, -8, 5, -8}, {11, 5, -8, 0}, {-8, 5, -8, 5}, {-8, 0, -8, 5}, {5, 11, 11, 11}. These samples represent possible alternative scenarios for the weight changes based on the observed data, allowing us to estimate the sampling variability and make inferences about the population.
Bootstrap sampling involves randomly selecting observations from the original sample with replacement to create new samples. Each bootstrap sample has the same size as the original sample. In this case, the original sample of weight changes is {11, 5, 0, -8}.
For each bootstrap sample, we randomly select four observations with replacement from the original sample. For example, in the first bootstrap sample {11, 11, 11, 0}, we randomly selected the numbers 11, 11, 11, and 0 from the original sample. This process is repeated for each bootstrap sample.
The purpose of generating bootstrap samples is to estimate the sampling distribution of a statistic, such as the mean or standard deviation. By examining the variability of the statistic across the bootstrap samples, we can make inferences about the population from which the original sample was drawn.
In this case, the bootstrap samples represent alternative scenarios for the weight changes of college students. Each sample reflects a possible combination of weight changes based on the observed data. By studying the distribution of weight changes across the bootstrap samples, we can gain insights into the variability and potential range of weight changes in the population.
Learn more about bootstrap sampling here: brainly.com/question/13014288
#SPJ11
Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, exactly 2 contains the pollutant.
(a) P(x≥≥4)
(b) P(x≤≤4).
(c) P(3≤≤x≤≤7)
The probability that in the next 18 samples, exactly 2 contain the pollutant is
P(x = 2) =[tex]C(18, 2) (0.1)^2 (0.9)^16[/tex]
= 0.252.
The given is Each sample of water has a 10% chance of containing a particular organic pollutant.
Assume that the samples are independent with regard to the presence of the pollutant.
We need to find the probability that in the next 18 samples, exactly 2 contain the pollutant.
We can use the Binomial distribution formula to solve this problem.
The binomial distribution formula is given by:
P(x) = [tex]C(n, x) px qn-x[/tex]
Where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.
Since there is a 10% chance of containing a particular organic pollutant, the probability of success is:
p = 0.1
The probability of failure is:
q = 1 - p
= 1 - 0.1
= 0.9
Number of trials (samples) is n = 18
(a) To find P(x≥≥4)
We need to find the probability that 2 or more samples contain the pollutant.
We can do this by subtracting the probability that less than 2 samples contain the pollutant from 1.
P(x ≥ 2) = 1 - P(x < 2)P(x < 2)
= P(x = 0) + P(x = 1)P(x = 0)
= C(18, 0) (0.1)0 (0.9)18
= [tex]0.9^18[/tex]
P(x = 1) = [tex]C(18, 1) (0.1)^1 (0.9)^17[/tex]
= 0.33
P(x < 2) = [tex]0.9^18[/tex]+ 0.33
= 0.335
P(x ≥ 2) = 1 - 0.335
= 0.665
(b) To find P(x≤≤4)
We need to find the probability that 4 or less samples contain the pollutant.
P(x ≤ 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)P(x = 0)
= C(18, 0) (0.1)0 (0.9)18
= [tex]0.9^18[/tex]
P(x = 1) = [tex]C(18, 1) (0.1)^1 (0.9)^17[/tex]
= 0.33
P(x = 2) = [tex]C(18, 2) (0.1)^2 (0.9)^16[/tex]
= 0.053
P(x = 3) = [tex]C(18, 3) (0.1)^3 (0.9)^15[/tex]
= 0.0047
P(x = 4) =[tex]C(18, 4) (0.1)^4 (0.9)^14[/tex]
= 0.0003
P(x ≤ 4) = 0.9^18 + 0.33 + 0.053 + 0.0047 + 0.0003
= 0.288
(d) To find P(3≤≤x≤≤7)
We need to find the probability that between 3 and 7 (inclusive) samples contain the pollutant.
P(3 ≤ x ≤ 7) = P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6) + P(x = 7)P(x = 3)
= [tex]C(18, 3) (0.1)^3 (0.9)^15[/tex]
= 0.0047
P(x = 4) = C(18, 4) (0.1)^4 (0.9)^14
= 0.0003
P(x = 5) = [tex]C(18, 5) (0.1)^5 (0.9)^13[/tex]
= 0.00001
P(x = 6) = [tex]C(18, 6) (0.1)^6 (0.9)^12[/tex]
= 2.15e-07
P(x = 7) = [tex]C(18, 7) (0.1)^7 (0.9)^11[/tex]
= 4.7e-10
P(3 ≤ x ≤ 7) = 0.0047 + 0.0003 + 0.00001 + 2.15e-07 + 4.7e-10
= 0.00471
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ11
What is the area of this quadrilateral?
4 ft
3 ft
10 ft
10 ft
31
4 ft
Answer:
42
Step-by-step explanation:
Answer:
42 square feet
Step-by-step explanation:
add all of the square feet together, including the sides parallel that don't tell you how many inches. What I mean by parallel is the sides across from it.
PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answer:
D)
Step-by-step explanation:
It looks like the most sense
Question 3
1 pts
meters, will the period of a pendulum be 3 seconds? Use the formulas T = a[.where the proportionality constant,
The acceleration of gravity on Mars is 3.69 For what length
2 TT
a. depends on the acceleration of gravity: a =
vg
0.92 meters
0.84 meters
0.66 meters
Can you help me in this please No links or spams or bots or report
Answer:
Monday - 7 hr 30 mins
Wednesday - 9 hr 30 mins
Friday - 7 hr
Saturay - 5 hr 30 mins
---------------------------------------------------------------
If you earn $12.40 per hour, first you must find how many hours you worked total - in this case, 29 hr and 30 mins.
So you would be making $359.60 per week.
Ahh i hate math fr someone help
6,6 and 7 units down and 5 units left where is t'
Answer:
it's 1,-1
Step-by-step explanation:
hoped I helped. I'm good at these.
A submarine was situated 475 feet below sea level. if it ascends 150 feet, what is its new position relative to the sea level?
Answer:
325 feet below sea level i believe
Step-by-step explanation:
Find the smallest sample size needed to estimate the percentage of Americans who prefer to watch the news rather than read or listen to it. Use a 0.03 margin of error and a confidence level of 99%. From a previous poll, it was found that 47% of the American respondents prefer to watch the news rather than read or listen to it.
To estimate the percentage of Americans who prefer to watch the news rather than read or listen to it with a 0.03 margin of error and 99% confidence level, the smallest sample size needed is 1,060.
To calculate the sample size, we can use the formula:
n = (Z² * p * (1 - p)) / E²
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, for a 99% confidence level, Z ≈ 2.576)
p = estimated proportion of the population with the characteristic of interest (based on the previous poll, p = 0.47)
E = margin of error (E = 0.03)
Substituting the values into the formula, we have:
n = (2.576² * 0.47 * (1 - 0.47)) / 0.03²
n ≈ 1060
Therefore, the smallest sample size needed to estimate the percentage of Americans who prefer to watch the news rather than read or listen to it, with a 0.03 margin of error and 99% confidence level, is approximately 1,060. This means that a sample of at least 1,060 individuals should be surveyed to obtain reliable estimates with the desired level of confidence.
Learn more about sample here:
brainly.com/question/30100088
#SPJ11
find x
answer choices
6
7
9
10
8
The answer should be 10
you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:
Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour
The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.
a) For which people is plan A best? For which people is plan B best?
b) When are the costs of the two plans the same and what is the cost?
Answer:
a
Step-by-step explanation:
What is the diameter of a satellite dish with a circumference of 957.7?
Answer:
The diameter would be 305 m
Step-by-step explanation:
Answer:
305 assuming your using 3.14 for pi
Step-by-step explanation:
CAN SOMEONE IN THIS APP HELP PLEASE
Answer:
15 feet
Step-by-step explanation:
The distance from the foot of the ladder to the person is 6 feet. The person is also 6 feet. Therefore that mini triangle's length and width are both 6 feet.
The distance from the foot of the ladder to the wall is 15 feet. This is now a simple ratio. The length of the mini triangle is 6 to length of the larger triangle, 15. The height ratio is the mini triangle is 6 to the bigger triangle, x.
The height of the bigger triangle is the height of the wall. (Since the two are similar, then we can automatically deduce the height is 15.) But if you wanted to work out the ratio above ^^ you would multiply the 6 diagnol to the 15 and then divide by the last 6 to get 15.
In 2015, Mrs. Jonos paid $630 in Medicare
taxes. This represents 1% of her salary. What
was Mrs. Jones's gross income in 2015?
Good art is art that allows you to enter it from a variety of angles and to
emerge with a variety of views."" what is you insights about this quotes?
Answer:
Step-by-step explanation:
My insight on this quote is that a good piece of art can tell various stories. Maybe there are various characters in the art and each on shows different actions and emotions. Or maybe the art is abstract and the emotions that it triggers in a person can tell a story all on its own. In a way these various angles are the different ways that the art makes us feels that allows us to view it in such a way. Yet these views can change if we look at the art in a different perspective.
1. What does PEMDAS stand for?
P:
E:
M:
D:
A:
S:
Answer:
P- arenthesis
E- xpontent
M- ultiplication
D- ivision
A- ddition
S- ubtraction
Answer:
Step-by-step explanation:
p=parentheses
e=exponents
m=multiplication
d=division
a=addition
s=subtraction
Write the first four terms of the sequence{an}defined by the following recurrence relation.
an+1=2a2n-1;a1=0
The first 4-terms of sequence {aₙ} defined by recurrence-relation : aₙ₊₁ = 2aₙ²-1; a₁ = 0 are 0, -1, 1 and 1.
To find the first four terms of the sequence {aₙ} defined by the recurrence relation aₙ₊₁ = 2aₙ² - 1, with the initial-condition a₁ = 0, we apply the recurrence relation,
Starting with a₁ = 0, we can find the subsequent terms as follows:
⇒ a₂ = 2a₁² - 1 = 2(0)² - 1 = -1
⇒ a₃ = 2a₂² - 1 = 2(-1)² - 1 = 1
⇒ a₄ = 2a₃² - 1 = 2(1)² - 1 = 1
Therefore, the first four terms of the sequence are : a₁ = 0, a₂ = -1, a₃ = 1
and a₄ = 1.
Learn more about Sequence here
https://brainly.com/question/31269894
#SPJ4
The given question is incomplete, the complete question is
Write the first four terms of the sequence {aₙ} defined by the following recurrence relation.
aₙ₊₁ = 2aₙ²-1; a₁ = 0.
Let x = 9a - 7, where a is an integer. What is x mod 3?
For x = 9a - 7, where a is an integer, the value of x mod 3 is determined using the remainder when x is divided by 3, and it is equal to 2.
To find the value of x mod 3, we need to determine the remainder when x is divided by 3.
The expression x = 9a - 7, where a is an integer, allows us to calculate x mod 3.
To find x mod 3, we substitute the given expression x = 9a - 7 into the equation:
x mod 3 = (9a - 7) mod 3.
To simplify the expression, we can use the properties of modular arithmetic.
First, we can rewrite 9a as (3 × 3a) and distribute the modulus operator:
(9a - 7) mod 3 = ((3 × 3a) - 7) mod 3.
Next, we can separate the modulus operation:
((3 × 3a) - 7) mod 3 = ((3 × 3a) mod 3 - 7 mod 3) mod 3.
Since 3 is congruent to 0 mod 3, the first term becomes 0:
((3 × 3a) mod 3 - 7 mod 3) mod 3 = (0 - 7 mod 3) mod 3.
The second term, 7 mod 3, can be simplified as the remainder when 7 is divided by 3, which is 1:
(0 - 7 mod 3) mod 3 = (0 - 1) mod 3 = -1 mod 3.
Finally, we can find the remainder when -1 is divided by 3, which is 2:
-1 mod 3 = 2.
Therefore, x mod 3 is equal to 2.
Learn more about modular arithmetic here:
https://brainly.com/question/30967977
#SPJ11
Adjustment for Merchandise Inventory Using T Accounts: Periodic Inventory System
Ibby Smith owns and operates Ibby’s Ice Cream Cones. Her beginning inventory as of January 1, 20--, was $45,000, and her ending inventory as of December 31, 20--, was $57,000. Set up T accounts for Merchandise Inventory and Income Summary and perform the year-end adjustment for Merchandise Inventory.
Use the labels shown.
(a) Remove the beginning balance in Merchandise Inventory.
(b) Add the new balance in Merchandise Inventory.
The Income Summary will be credited for $12,000 in the T account.
The journal entry to remove the beginning balance in Merchandise Inventory is as follows:
Merchandise Inventory Debit $45,000
Opening Inventory Credit $45,000
In the T account of Merchandise Inventory, the beginning balance of $45,000 will be subtracted from the total of the debit amounts in the account.
ii. Add the new balance to Merchandise Inventory
The journal entry to add the new balance to Merchandise Inventory is as follows:
Closing Inventory Debit $57,000
Merchandise Inventory Credit $57,000
In the T account of Merchandise Inventory, the ending balance of $57,000 will be added to the total of the credit amounts in the account.
The year-end adjustment entry for Merchandise Inventory is:
Merchandise Inventory Dr. $57,000 ($57,000 - $45,000)
Income Summary Cr. $57,000 ($57,000 - $45,000)
In the Merchandise Inventory T account, the ending balance is $12,000 (credit balance) since the credit amount of $57,000 exceeded the debit amount of $45,000 by $12,000.
Learn more about journals at: https://brainly.com/question/30720059
#SPJ11
Find the equation for the
following parabola.
Focus (3, 4)
Directrix y = 2
A. (x-3)2 = 2(y-2.5)
B. (x-3)2 = 4(y-3)
C. (x-3)2 = (y-4)
D. (y-3)2 = 4(x-3)
Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)
The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:
(x - h)^2 = 4a(y - k)
The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:
(x - 3)^2 = 4(2)(y - 4)
Simplifying:
(x - 3)^2 = 8(y - 4)
The correct equation for the parabola is:
(x - 3)^2 = 8(y - 4)
Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)
For more such questions on parabola
https://brainly.com/question/4061870
#SPJ8
PLEASE HELP FAST NEED IT FAST =)
Which pair of triangles demonstrates congruence with the AAS Postulate?
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
brainliest?
what is the answer someone help me!!!
Answer:
14.4in so your radius is your third answer
Can someone help me with this. Thank you.
Answer:
All are true
Step-by-step explanation:
2) True
3) True
4) True
What number is equal to (1/6)^4?
Answer:
1/5
Step-by-step explanation:
i searched it up yikessssssss
The value of the given term is 1296.
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given the number as [tex]\dfrac{1}{6} ^{-4}[/tex]
Here we can see that the power is negative so we can just reciprocal the term.
Then we get;
6^4
this means 6 x6x6x6 = 1296
The correct value is 1296.
Learn more about fraction;
https://brainly.com/question/729654
#SPJ2
Find (f+g)(x).
f(x) = 1
-
x
g(x) = x^2 + 2x-5
Answer:
(f + g)(x) = x² + x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1 - x
g(x) = x² + 2x - 5
(f + g)(x) is f(x) + g(x)
Step 2: Solve
Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)Combine like terms (x): (f + g)(x) = x² + x - 5 + 1Combine like terms: (f + g)(x) = x² + x - 4Which of the following statistical information about the data is calculated by the Column Statistics tool? Select the two correct answers ,Threshold calculation,Date analysis,Regression analysis,Median calculation
The correct answer is: Median calculation and Threshold calculation.
Median calculation: The Column Statistics tool can calculate the median of a dataset. The median is the middle value in a sorted dataset. It is a measure of central tendency that divides the data into two equal halves. Calculating the median can provide insights into the central value of a dataset and is less sensitive to extreme values compared to other measures like the mean.
Threshold calculation: The Column Statistics tool can calculate thresholds or cutoff points based on the data. These thresholds define certain conditions or ranges in the data. For example, you can set a threshold to identify data points above a certain value as outliers or flag data points that fall within a specific range. Threshold calculations can be useful for data cleansing, anomaly detection, or creating categorical variables based on certain conditions.
The other options, Date analysis and Regression analysis, are not typically calculated by the Column Statistics tool. Date analysis involves examining patterns and trends related to dates or time, which may require specialized techniques such as time series analysis or date-specific functions. Regression analysis is a statistical technique used to model the relationship between variables and requires more advanced tools or methods beyond basic column statistics.
Learn more about median here:
https://brainly.com/question/30090626
#SPJ11
find the area of the rectangle PLUM khan academy
Answer:
Length x Breadth
Step-by-step explanation:
Oliver just accepted a job at a new company where he will make an annual salary of
$54000. Oliver was told that for each year he stays with the company, he will be
given a salary raise of $3000. How much would Oliver make as a salary after 6 years
working for the company? What would be his salary after t years?
Answer:
After 6 Years: 54000*6 + 3000*5 = 339,000
After t years: 54000*t + 3000*(t-1) = 57000 t - 3000
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
$358,000
Step-by-step explanation:
He makes $54k dollars "annual" = per year
Each year he stays he gets $3k worth of a raise
He stays 6 years so
3000 x 6 = 18k
54,000 x 6= 340,000
so then you just add
18,000 + 340,000=
358,000
I hope that helps :D
Nahla Burtoni is buying her first home for $125,000. She has been granted
a mortgage loan at an annual interest rate of 8.5% for 20 years with a
$25,000 down payment. Closing costs are 2% of the amount of the
mortgage loan and will be financed as part of the mortgage. What is the
actual amount financed with the mortgage?
O $100,000
O $102,000
O $120,000
O $125,000
Answer: the answer is B!!!!!!!!!!!!!!
Step-by-step explanation:
A student in your class mentally calculates 8+9 by noting that 8 is "1 less than 9", and, since 2 x 9 = 18, then 8 + 9 must be "1 less than 18," or 17. The equations representing this method are as follows: 1.8+9 (9-1) +9 ii. (9-1)+9=9+(9-1) iii. 9+ (9-1) (9+9)-1 iv. (9+9)-1-18-1 V. 18-1 17 Which properties of addition is the student implicitly using?
The student is implicitly using the commutative property and the associative property of addition.
i. (9-1) + 9: The student uses the commutative property, which states that the order of adding numbers does not affect the sum. They rearrange the terms to (9-1) + 9, recognizing that adding 9 after subtracting 1 is the same as adding 9 before subtracting 1.
ii. (9-1) + 9 = 9 + (9-1): Here, the student demonstrates the associative property. The associative property states that the grouping of numbers being added does not affect the sum. They regroup the terms to show that adding (9-1) first and then adding 9 is equivalent to adding 9 first and then subtracting 1.
iii. 9 + (9-1): The student does not explicitly demonstrate a property here. They simply perform the calculation of adding 9 and (9-1), recognizing that 9 minus 1 is 8.
iv. (9+9)-1-18-1: In this step, the student performs the subtraction calculations but does not demonstrate any particular property.
v. 18-1: Finally, the student calculates the subtraction and arrives at the answer 17.
So, the student implicitly uses the commutative property and the associative property of addition in their mental calculation.