A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?

A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)

Answers

Answer 1

Answer:

the answer is D

Step-by-step explanation:

i got it right and so would you ;)

Answer 2

The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.

How to calculate confidence interval for population mean ?

If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits;

[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]

The confidence interval for the mean of the population is (40.5, 41.5).

Hence,option D is correct.

Learn more about confidence interval refer;

https://brainly.com/question/23008823

#SPJ2


Related Questions

Find the value of x in the triangle below

Answers

Answer:

50

Step-by-step explanation:

a triangle's angles add up to 180 degrees.

100-80=100

since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two

100/2=50

Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?​

Answers

Answer:

The answer is 14:17

Step-by-step explanation:

31-14 is 17 and 14 are female and 17 are male so we do 14:17

what does venerable mean​

Answers

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

x=1 and y=3

2x+3y-2

plsss helpp <3

Answers

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9

{201-[68-(40/4)+(-8)+(70x2)]}

Answers

Answer:

{201-[68-(40/4)+(-8)+(70x2)]}

{201-[68-(40/4)+(-8)+140]}

{201-[68-10-8+140]}

{201-[68-18+140]}

[201-[50+140]}

{201-190}

11is your answer

the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold

Answers

Answer: 20 cups :DD

Step-by-step explanation:

i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?​

Answers

Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79

Answers

Answer:

t = 5.79

Step-by-step explanation:

Given the regression line equation :

Cˆ=182+2.2A

Null ; H0:β=0

Alternative ; Ha:β≠0

Comparing with the general for of a linear regression equation :

y = bx + c

b =slope Coefficient ; c = intercept

b = 2.2 (from equation given)

The test statistic :

t = (Slope, b - null, β) / standard error of slope, E

(b - β) / E

(2.2 - 0) / 0.38

t = 2.2 / 0.38

t = 5.7894736

t = 5.79

Help asap
Find the value of x. Round to the
nearest tenth.
3
4
X =
= [?]

Answers

Answer:

36.9°

Step-by-step explanation:

→ Identify the triangle required by seeing which side is not given

Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent

→ Substitute values in

Tan⁻¹ =  ( 3 ÷ 4 )

→ Simplify

36.9°

-2y + x +
3
How many terms are in the expression

Answers

Answer:3

Step-by-step explanation:

Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:2.65

Step-by-step explanation:

The answer is 2.65

Please help. Thank you.

Answers

Answer:

-10m-9

Step-by-step explanation:

-3(4m+3)+2m

combine like terms

-12m-9+2m

-10m-9

-10m-9 is the answer. good luck

Help with my assignment please

I couldn’t fit part b in the picture so can you please answer this too

Part B
Write the length of the hypotenuse rounded to
nearest hundredth.
The length of the hypotenuse is

Answers

Answer:

the answer ti the first one is B

Step-by-step explanation:

hypotenuse is 12.649

Helppp meeee pleaseeeeee

Answers

Answer:

C. Substance C, Substance A, Substance D, Substance B

The question is on the problem no links please I will give brainliest

Answers

Answer:

54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2

Step-by-step explanation:

Equation for a triangle is A = (1/2) * b * h

Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2

Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2

Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2

What is the volume of the prism, in cubic centimeters?

Answers

Answer:

Uhhhhhh, nothing?

Step-by-step explanation:

can someone help me with this please

Answers

9514 1404 393

Answer:

  1. attendance (y), time (x)

  2. 1,2: increasing; 3: constant; 4: decreasing

  3. attendance increases, remains constant, then decreases

  4. increasing; pre-heating the oven

Step-by-step explanation:

It is always difficult to read the mind of the author of questions like these. Usually, specific wording is expected. If your curriculum material has examples you can copy from, you should do that.

__

1. The variables and what they stand for are listed on the axes of the graph. The y-variable stands for attendance. The x-variable stands for time. It isn't clear whether the desired answer is "y and x" or "attendance and time".

__

2. The graph slopes upward in intervals 1 and 2. It can be described as "increasing."

The graph remains level in interval 3. It can be described as "constant."

The graph slopes downward in interval 4. It can be described as "decreasing."

__

3. The attendance is adequately described in question 2. Attendance increases, remains constant, then decreases. It isn't clear how general or specific the answer is supposed to be.

__

4. The graph of the function is "increasing." We don't know if the indicated temperature is the temperature of the bread, the oven, or the room containing the oven. If we assume the indicated temperature is that of the oven, we expect an increase during the oven pre-heat interval.

If the indicated temperature is that of the bread, then the increase would be following insertion of the bread into the oven.

Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to know about the diagonals to prove that a quadrilateral is a parallelogram

Answers

Answer:

B. They must bisect each other

Step-by-step explanation:

Found the answer on quizziz

Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives immunity to fungal infections. To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene. Give the margin of error for the 90% confidence interval. Round your answer to 3 decimal

Answers

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Give the margin of error for the 90% confidence interval.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]

[tex]M = 0.038[/tex]

The margin of error for the 90% confidence interval is of 0.038.

Medication is prescribed in 8 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 660
emergency
room visits involving an injury in the past month, how many of these visits would be expected to include a prescription for
medication?
About
emergency room visits would be expected to include a prescription for medication.

Answers

Answer:

I don't know thats hard um well yeah

Can someone help please ASAP

Answers

Answer:

U need to draw a triangle

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct

Answers

Answer:

It is H

Step-by-step explanation:

Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?

Answers

Answer:

42 multpliy by 6

Step-by-step explanation:

Sheldon bought 7 boxes of cookies if he spent $42 on cookies.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of one box of cookies = $6.

And total amount spent by Sheldon on cookies = $42.

Let Sheldon bough x boxes of cookies.

To find the number of boxes of cookies x,

Use ratio property,

Cost of one box of cookies = $6

Cost of x boxes of cookies = $6x

Total price = 42

6x = 42

x = 7

The required number of boxes of cookies is 7.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Second term of a geometric series is , the limiting sum is 9.
Get the values of first term a and common ratio r.

Answers

Answer:

The answer is below

Step-by-step explanation:

Second term of a geometric series is 2, the limiting sum is 9.

Get the values of first term a and common ratio r.

Solution:

A geometric series is in the form:

a + ar + ar² + ar³ + . . . + arⁿ ⁻ ¹

Where a is the first term, n is the nth term and r is the second ratio.

Since the second term of the series is 2, hence:

ar⁽² ⁻ ¹⁾ = 2

ar = 2        (1)

Also, the limiting sum is 9, hence:

a/ (1 - r) = 9

a = 9 - 9r     (2)

Substitute a = 9 - 9r in eqn 1:

(9 - 9r)r = 2

9r - 9r² = 2

9r² - 9r + 2 = 0

9r² - 6r - 3r + 2 = 0

3r(3r - 2) -1(3r - 2) = 0

(3r - 1)(3r - 2) = 0

r = 1/3 or r = 2/3

When r = 1/3; a = 9 - 9r = 9 - 9(1/3) = 6

When r = 2/3; a = 9 - 9r = 9 - 9(2/3) =  3

2. Moore has 20 songs. His friend bought him M more
songs. Write an expression that shows how many songs
Moore has now.

Answers

Answer:

20+m

Step-by-step explanation:

Answer:

20+m=?

Step-by-step explanation:

if moore already has 20 songs and his freind brought m more books then we would need to find the total amount of books more has now.

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

1780.43 i just took the test jit

A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?

Answers

136
Step-by-step explanation:
Amount spend on props and equipment = 800
Percentage of amount spend on equipment = 83%
So,
Percentage of amount spend on props =
Therefore,
Amount spend on props

Can anyone help me plz?

Answers

Answer:

[tex] y = \frac{1}{4}x + 1 [/tex]

Step-by-step explanation:

Line is passing through the points (0, 1) & (4, 2)

Slope of line = (2 - 1)/(4 - 0) = 1/4

y-intercept (b) = 1

Equation of line in slope-intercept form is given as:

[tex]y = mx + b \\ \\ y = \frac{1}{4}x + 1 [/tex]

Answer:

[tex]y = \frac{1}{4}x + 1[/tex]

Step-by-step explanation:

Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.

The slope is simply [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]=>[tex]\frac{2-1}{4-0}[/tex]=> 1/4

The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1

The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:

[tex]y = \frac{1}{4}x + 1[/tex]

The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?

Answers

Answer:

160

Step-by-step explanation:

140 divided by 7 equals 20, then you times the answer by 8, which you get 160.

A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.

EXPLAIN HOW YOU DETERMINED THUS COST!!! please
ASAP

Answers

By adding 4 toppings, the price jumped up 6$ from the 2 toppings. So we can assume that ever 2 toppings it costs 6$. Divide 6 by 2 and you get 3$ per topping.
Other Questions
help pleaseee!! ill give u most brianliest what makes more sense "when will you do your homework?" or "when are you going to do your homework?" if the answer is "In a minute, let me finish playing the videogame"? A scalene triangle has sides measuring 200 feet, 107 feet, and 221 feet. What is theperimeter of the triangle? What is the length of side AB Q2. Give a single word for each of the meaning below:1) Go to a place againH) Become someone's friend) Work with othersiv) Sleep for longer than you shouldv) Completely changevi) Get something wrong(Total marks: 3)ELABORATE Why was the Allied invasion of France (known as D-Day) of major importance?Justify why the Atlantic Wall was problematic for the invading Allied forces.Identify the two beaches that American forces landed on during the D-Day invasion.In a paragraph of 3-4 sentences explain what soldiers might have heard, felt, saw, tasted, and smelled during the D-Day invasion. What mass of nitrogen (N2) is needed to produce 0.125 mol of ammonia (NH3)? Input a numerical answer only. N2 + 3H2 ---> 2NH:Please help me Please help me 10 + 963 = ? Cost of a cell phone: $249.50Markup: 30% What does the declaration of independence suggest about the USA? Submit your one or two-paragraph essay that evaluates the arguments presented within the article. Address these questions in your writing: Which argument was more convincing? Which article was better supported? How did the persuasive language affect the strength of the article?Article: the school garden debate When comparing the brightness of stars, it isnecessary to know the distance to each star.voleTrueFalse HELP ASAP. FIRST PERSON WITH THE CORRECT ANSWER RECEIVES BRAINLIESTFor which THREE reasons did the National Party in South Africa maintain an apartheid system? A to implement a pure command economy B. to segregate people of different races C to consolidate services where needed D. to maintain a pool of cheap labor E to control the majority population A large jar contains 500 marbles. All of the marbles in the jar are either blue or yellow, and there are 3 times as many blue marbles as yellow marbles. Which equation can be solved to find the number of yellow marbles in the jar? what's the ratio of 0.9? Identify the standards set by the U.S. government in measuring poverty among American families What is, (please answer all of the questions and show how u got it) 50% of 300 30 % of 180kg25% of 68ib70% of 26075$ of 292? Bengal Co. provides the following unit sales forecast for the next three months: July August September Sales units 5,800 6,500 6,360 The company wants to end each month with ending finished goods inventory equal to 30% of the next month's sales. Finished goods inventory on June 30 is 1,740 units. The budgeted production units for July are: A video game regularly costs $29.95 is on sale for 15% off. About how much is the sale price of the game is you include 8% sales tax? Two ways on how destructive relationships influence your well-being as opposed to constructive relationships