Consider a normal population distribution with the value of σ known. (a) what is the confidence level for the interval x ± 2.88σ/ n ? (round your answer to one decimal place.) % (b) what is the confidence level for the interval x

Answers

Answer 1
By dividing the observations with σ and by subtracting the mean of the distribution, we can transform any normal distribution into the standard one with mean 0 and standard deviation of one. In this case, this means that we need to find the confidence interval of (-2,88, 2,88) for the standard normal distribution. We can look this up in a standard table; The probability that an observation is below -2,88 is 0,002 and the probability that it is below 2,88 is 0,998. Hence, we have that 0,996 of the observations is in this interval, thus 99,6% is the confidence level of the given interval.
Answer 2
Final answer:

The confidence level for the interval x ± 2.88σ/√n is approximately 99.9%. The term 'confidence level' speaks to how frequently the true value of the parameter would be inside the interval for replicated experiments. Without additional information, we cannot compute the confidence level for just 'x'.

Explanation:

In statistics, a formula exists to find the confidence interval. For the interval x ± 2.88σ / √n, the confidence level is nearly 99.9%. We find this by referring to the z-table (standard normal table) with a z-score of 2.88. This leaves 0.05% in each tail of the distribution.

On the topic of confidence levels, a 95% confidence interval implies that if you were to take 100 random samples from your population, approximately 95 of those samples would capture the true population parameter.

For the other part of your question, when we talk about the interval x, it doesn't provide enough detail to calculate a confidence level. It needs to be stated in context of the standard deviation and the sample size.

Learn more about Confidence Intervals here:

https://brainly.com/question/34700241

#SPJ3


Related Questions

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

Please help fast!

Answers

To answer this you could write the first rate that is given (12 plants: 1.5 hours in fraction form and make it equivalent to a second rate of x: 1 hour. X represents the number of plants in an hour.

You can use cross products to solve for x. Please see the attached picture for the steps. The answer is 8 plants.

Final answer:

Samantha can pot 8 plants in 1 hour.

Explanation:

To find out how many plants Samantha can pot in 1 hour, we need to determine how many plants she can pot in 1 1/2 hours and then convert that to 1 hour.

If Samantha can pot 12 plants in 1 1/2 hours, we can set up a proportion to find out how many plants she can pot in 1 hour:

12 plants / 1.5 hours = x plants / 1 hour

To solve for x, we can cross multiply:

12 * 1 = 1.5 * x

12 = 1.5x

To isolate x, divide both sides of the equation by 1.5:

x = 12 / 1.5

Simplifying the equation, we get:

x = 8

Therefore, Samantha can pot 8 plants in 1 hour.

beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years. How much will she pay altogether?

Answers

Final answer:

To find the total payment Beth will make on her car loan, calculate the total cost using the loan formula. Beth will pay a total of $19,890 in total.

Explanation:

Beth owes $17,000 on her car loan with a 4.25% interest rate, to be paid off over 4 years. To calculate the total amount she will pay, you use the formula for calculating the total cost of a loan: Total Payment = Principal + (Principal x Interest Rate x Time).

Principal = $17,000Interest Rate = 4.25% = 0.0425Time = 4 years.

Plugging in the values:

Total Payment = $17,000 + ($17,000 x 0.0425 x 4)

Beth will pay a total of $17,000 + ($17,000 x 0.0425 x 4) = $17,000 + $2890 = $19,890 altogether.

4/15 divided by 8/25

Answers

It's about .83333. You divide 4/15 first and then 8/25. then you divide both after that
4         25            100                        5
-    x    -     =.       -          simplify≈    -
15       8              120                        6
multiply by the reciprocal to divide fractions

(100+ POINTS)
A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes, x.



Time (minutes), x 0 1 2 3
Temperature (F°), y 200 150 112.5 84.375



Which function can be used to represent the relationship shown in the table?
y = (0.75) x
y = 0.75(200) x
y = 200(-0.75) x
y = 200(0.75) x

Answers

For this case we have a function of the form:
 [tex]y = A * (b) ^ x [/tex]
 Where,
 A: initial temperature
 b: rate of change
 x: time in minutes
 y: temperature
 We must find the values of the constants A and b.
 To do this, substituting values we have:
 [tex]200 = A * (b) ^ 0 150 = A * (b) ^ 1[/tex]
 We have a system of two equations with two unknowns.
 Dividing both equations we have:
 [tex] \frac{A * (b) ^ 1}{A * (b) ^ 0} = \frac{150}{200} [/tex]
 [tex]b = 0.75 [/tex]
 From equation 1 we have that the value of A is:
 [tex]A = 200 [/tex]
 Substituting values in the generic equation we have:
 [tex]y = 200 * (0.75) ^ x [/tex]
 Answer:
 
A function that can be used to represent the relationship shown in the table is:
 
[tex]y = 200 * (0.75) ^ x[/tex]


y = 200 * (0.75) ^ x

What would be the radius of A= 530.66 square meter

Answers

530.66÷3.14=169
√169=√r²
13=r

20-3(m-1)=-4 What is m??

Answers

Let's do this step by step:

20-3(m-1)=-4
20-3m+3=-4
23-3m=-4
-3m=-27
m=9
To check if this answer is correct, simply substitute m with 9 and you will get 9=9

This picture shows a feeding trough that is shaped like a right prism 5,4,6. list each face of the feeding trough . What is the surface area of the trough?
Please help

Answers

Two sides are 4 by 5.
Two sides are 4 by 6.
Two sides are 5 by 6.
Since it's a feeding tough, I assume the top face is open and not there, so one of the six sides listed above is missing, but without a picture, I can't tell which one it is.

Answer:

Step-by-step explanation:

help help help !!!!!!!!

Answers

4/5 × 12/2
4 × 12/5 × 2
48/5 × 2
48/10

= 24/5
ok
Keep, Change, Flip.


4/5 divided by 2/12.  

Keep 4/5
Change division to multiplication.  
Flip 2/12 to 12/2

4/5 x 12/2 =
24/5

Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario. t + u = 9 10t + u = 10u + t – 9 t + u = 9 10t + u = 10u + t t + u = 9 tu = ut + 9

Answers

The answer would be "t + u = 9 and 10t + u = 10u + t - 9". This can be found if you replaced t with 4 and u with 5. Adding the 2 digits would give you 9, and using the formula "10t + u = 10u + t - 9". Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which make the statement true. Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.

I hope this helps!

The equations described in this problem are:

t + u = 9

10t + u = 10u + t - 9

When the two equations are substituted and solved, t = 4 and u = 5.

The original number described in the word problem is 45.

Help!! There are at least 3 slices of bread left in the bag how do I write an inequality for that?

Answers

at least = 3 or more
x = slices of bread
x ≥ 3
the "≥" means greater than or equal, which basically means at least

Answer:

I need help on this question too but instead of 3 its 7!!! i also need to write both a inequality and a graph! pls respond as fast as possible.

Step-by-step explanation:

thanks

What could be the length of the third side of the triangle if it is known that the first two sides are 15 and 27?

Please tell me the answer if you absoulutley know it

Answers

It will be between the sum and difference of the two given sides.

12 < third side < 42

A company pays its commercial agents 5% of any deal. What should the value of a deal be for the agent to earn $2000?

Answers

The value of the deal should be $40,000.


remember that 5% as a decimal is .05.Let x = value of deal
The equation would be .05x = $2000 
Divide both sides by 0.05.
x=40,000       
 

Answer:

The value of the deal should be $40,000.

Step-by-step explanation:

remember that 5% as a decimal is .05.Let x = value of deal

The equation would be .05x = $2000

Divide both sides by 0.05.

x=40,000

the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy?

Answers

x+y=15,
x-y=3
the easiest way is the find out x and y first: 
add up the two equations: 2x=18, x=9
plug x=9 in either equation, you get y=6
so xy=6*9=54
Another way to do it:

(x+y)²=15²=225  =>x²+2xy+y²=225
(x-y)²=3²=9         =>x²-2xy+y²=9
subtract one equation from the other: 4xy=225-9=216, xy=54

The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given that sum of the x and y is 15

So,

x + y = 15

And difference

x - y = 3

By adding both equations,

2x = 18

x = 9 and y = 6

So their product 9 × 6 = 54.

Hence "The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

Write the equation of the function graphed.






a)f(x) = |x + 4|

b)f(x) = |x – 4|


d)f(x) = |x| + 4

d)f(x) = |x| – 4

Answers

The correct answer is:  [D]:   " f(x) = |x| – 4 " .  

{that is, the last answer choice given.}.
_______________________________________________________
Note:

This graph contains the points:  " (-4, 0) " ; and " (0, 4) " .
________________________________________________________
The last answer choice given:  [D]:   " f(x) = |x| – 4 " ;  is the only answer choice containing BOTH points.
________________________________________________________ 

What is the sum of the series? ​ ∑ i=1 5 4i ​ Enter your answer in the box.

Answers

Answer:

the answer IS 60

Step-by-step explanation:

The sum of the given series  [tex]\sum 4i[/tex]  is 60.

What do you mean by the sum of the series?

A series can have a sum of each term of the series tends to zero but there are some series in which has each term tends to be zero and do not have a sum.

   5

  [tex]\sum 4i[/tex]  = 4 × 1 + 4 × 2 + 4 × 3 + 4× 4 + 4 × 5

  i=1        = 4 + 8 + 12 + 16 + 20

              = 60

Hence, the sum of the series  [tex]\sum 4i[/tex]  is 60.

Learn more about the series;

https://brainly.com/question/11346378

I need help I would really thank wheeler answers this for me

Answers

It helps immensely if you know your times tables.

a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2


b) 45 = 5*9 = 5*3*3 = 3^2*5


c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.


d) The least common multiple can be found a couple of ways.

.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180

.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180

Quadrilateral ABCD ​ is inscribed in a circle.

What is the measure of angle A?



Enter your answer in the box.

m∠A= ____°

Answers

2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32

∠A=4×32+5=133º

Answer:

133

Step-by-step explanation:

Given is a cyclic quadrilateral ABCD.

We know that in a cyclic quadrilateral, opposite angles are supplementary.

A+C =180

Given that A = 4x+5 and C = x+15

Add these and equate to 180

[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]

Verify:

When x= 32, Angle C = 47

A+C = 133+47 = 180

Hence right answer

If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas?

Answers

480.6 miles


multiply 18 by 26.7 to get that answer

Answer:

480.6 miles.

Step-by-step explanation:

We have been given that John's car gets an average of 18 mpg. John fills his tank with 26.7 gallons of gas.

To find the distance traveled by John's car, we will multiply the distance covered per gallon by number of gallons in the tank.

[tex]\text{Total distance traveled by John's car}=\frac{18\text{ miles}}{\text{gallon}}\times \text{26.7 gallons}[/tex]

[tex]\text{Total distance traveled by John's car}=18\text{ miles}\times 26.7[/tex]

[tex]\text{Total distance traveled by John's car}=480.6\text{ miles}[/tex]

Therefore, John can travel 480.6 miles on a tank of gas.

Find the sum of 5 smallest consecutive whole numbers.

Answers

0+1+2+3+4= 10

that is the answer

Answer:

10

Step-by-step explanation:

a medication is supplied in a mixture that contains 7.5 mg of medication per millimeter of solution. the dosage rate is 10.0 mg of active ingredient per kilogram of body weight. calculate the number of millimeters of medication that should be given to a patient weighing 187 lb.

Answers

Concentration = 7.5 mg/mL
Dosage = 10 mg/kg
For a patient of 187 lb = 187.*0.4536 lb*kg/lb = 84.82 kg
Dose = 10 mg/kg * 84.82 kg /7.5 mg/mL
= 113.1 mL

PLEASE HELP ASAP
Which polynomial is a quintic binomial? 3x^5+2 x^2+4x 5x^2−2x+1 x^4+2x^3−x^2+7x+11

Answers

You have that:

 1. By definition, a binomial is a polynomial formed by two terms. 
 2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
 3. Keeping this on mind, you must identify which binomial has degree 5.
 4. As you can see, the expression 3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
 5. Thefore, the answer is: 3x^5+2

The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack price?

Answers

30%. 40-28 =12. 12/40 =30%

Bonds from the city of Denver with a face value of $1,000 each are selling at 110.611. If Sean wishes to purchase three such bonds, how much can he expect to pay?

Answers

A bond quote (100.611) is the last price bond is traded at. A bond quote is the percentage of a face value. 
In this case, the bond quote is 110.611 which means that bond is traded at 110.611% of its face value.
If Sean wants to buy 3 bonds he needs to pay:
3*1000*110.611/100=$3318.33

Answer:

The answer is C-3,318.33

Step-by-step explanation:

just took the test homie

What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)

Answers

Answer:

-3/2

Step-by-step explanation:

The line shown has slope ...

... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3

The slope of the perpendicular line is the opposite of the reciprocal of this:

... -1/(2/3) = -3/2

What is the constant of proportionality in the equation 2y=6x

Answers

The constant of proportionality in the equation 2y = 6x is [tex]\( \frac{1}{3} \)[/tex].

In the equation (2y = 6x), the constant of proportionality represents the relationship between x and y. To isolate it, divide both sides of the equation by (6x):

[tex]\[\frac{2y}{6x} = \frac{6x}{6x}\][/tex]

This simplifies to:

[tex]\[\frac{1}{3} = \frac{y}{x}\][/tex]

So, the constant of proportionality is [tex]\(1/3\)[/tex], indicating that for every unit increase in x, y increases by [tex]\(1/3\)[/tex].

Scott viewed 72 classic cars at a car show.Of the cars he viewed,3/8 were sports cars. How many sports cars did Scott view

Answers

27 sports cars were viewed. 72/9 = 8. 8x3 = 24.
72/8=9
9x3=27
Therefore Scott viewed 27 sports cars.

What is the length of BB' ?

Answers

B(0,2) B'(5,4)
D(BB') = √(5-0)^2 + (4-2)^2
= √(25 + 4)
= √29
= 5.39

answer
 length of BB' = √29 or 5.39
2/5 I think so !!! Demosos . Com helps a lot.

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

Answers

For this case, what you must do is to graph both lines in the same Cartesian plane.
 Once graphed, you must see by mathematical inspection the points that meet both inequalities.
 For this case, all points in the shaded region comply with the inequation system.
 Answer:
 All the ordered pairs of the shaded region.

Answer:

B on Edge 2020

Step-by-step explanation:

(-2,2)

  Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $156.00. What is her rate per hour?

Answers

The answer is  $9.75 hope i helped!!
x= rate per hour

Multiply each day's hours by the rate of pay. Add the days times the rate of pay which equals the total pay.

9x + 7x= $156
combine like terms
16x= 156
divide both sides by 16
x= $9.75

ANSWER: Her rate per hour is $9.75.

Hope this helps! :)

Isabella jump rope is 2.03 meters long. Avery jump rope is 0.15 meters shorter than Idabellas jump rope. Measures in meters, what is the length of Averys jump rope?

Answers

Hello!

Isabella's jump rope is 2.03 metres long, and Avery's is 0.15 metres shorter than Isabellas. To calculate how long Avery's jump rope is, we must subtract:

2.03 - 0.15 = 1.88

ANSWER:

The length of Avery's jump rope is 1.88 metres.
Other Questions
Explain how Poe uses setting, structure, and order of events to create mystery and tension in "The Cask of Amontillado." Write 3-5 sentences. The complement of an angle is 8 times as large as the angle. find the measure of the complement Which best describes the extent of the Roman Empire at its heightA-One of the largest in history, with an area occupied by more than 30 countries today B-of medium size, with that area occupied by about 15 country todayC-what are the smallest in history, with an area occupied by Italy and Greece todayD-of medium size,with all of its territory found on one continent What was the role of philosophy in medieval thought? What were early philosophers contemplating? How did early Church leaders affect philosophical ideas? Your answer should be at least 150 words. Define the following terms : tapestry , monument , portrait How did Jefferson decrease the size of the federal government? Frank and his team are building sedimentation ponds to hold runoff water in a landfill. Which component of MSW landfill are they building?cellcoverbottom linerstorm water drainage system It is best to receive a completed ________ before paying an invoice Many Head Start programs have a community aide who A. tutors at-risk children in the home. B. connects families to community resources they need. C. represents families at family/teacher conferences. D. gives families the money they need to survive. A major reason for the decline of the Roman Empire was What is the purpose of a literary analysis essay?A. to summarize a literary workB. to describe a literary work in elaborate detailC. to dissect a literary work to determine its meaningD. to review a literary work Which geographical feature may form when two cirques meet? a. a horn b. an aretec. a drumlin d. a moraine PLEASE I REALLY NEED HELP IF I DONT DO THIS MY MOM IS GONNA SEND ME TO BOOT CAMP FOR A YEAR :( PLEEAASEEE HELP I KNOW ITS ALOT BUT I REALLY DNTT UNDERSTAND)How did the United States change between 1776 and 1870How had the size of the United States changed?How had the population make-up of the United States changed?What new innovations changed life in the United States? What key events changed the United States? How was citizenship defined during each time period? How was enfranchisement (the right to vote) defined? Write logical sentences that make comparisons using the words in parentheses. En el desierto / hay / cactus / ros (ms... que) Frightful must it be, for supremely frightful would be the effect of any human endeavor to mock the stupendous mechanism of the Creator of the world. What does Mary Shelley mean by this statement from her introduction to Frankenstein?God punishes anyone who attempts to disobey.Creation is the sole realm of God.It is natural for humans to want to play God.Scientists can make better human beings.The answer is " Creation is the sole realm of God" Why did the south have trouble raising money for the war effort? Imagine that you are trying to rewrite a survey. you find a multiple-choice question that asks, "what is your favorite recreational activity?" and gives three response options: watching television, shopping, or sports. you add a fourth response option, "other," and invite respondents to write an activity of their choice. what kind of question have you just made? PLEASE HELP ASAP!!! Why was democracy not established in Latin America after former Spanish and Portuguese colonies had gained their independence? the ratio of 12:3 in simplest form Read this excerpt from Friedrich Engelss The Condition of the Working Class in England. Every great city has one or more slums, where the working-class is crowded together. . . . The streets are generally unpaved, rough, dirty, filled with vegetable and animal refuse [trash], without sewers or gutters, but supplied with foul, stagnant pools instead. Which point does Engels make in this passage?