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.

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Related Questions

Can someone help with this question

Answers

the X would be 9! because of that and this

K
Given that m_JKL = 94º, m_KL) = 41°, and the radius of the circle is 10 units, find s, rounded to the nearest hundredth.
units
S=
Reset
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tum. All rights reserved.
1

Answers

Step-by-step explanation:

angle j + angle JKL + angle KLJ = 180(sum of angles in a triangle)

[tex]j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45[/tex]

Arc Length s =

given r = 10 units,

[tex] = (\frac{j}{360} ) \times 2\pi \: r \\ = ( \frac{45}{360} ) \times 2\pi(10) \\ = 0.125 \times 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)[/tex]

Answer:

7.85 units

Hope this helped and have a good day :D

which expression can be used to find the surface area of the following triangular prism. choose 1 answer.​

Answers

A the answer is A...

Answer:

A is in fact correct.

Step-by-step explanation:

Help now please... I will mark brainlest

Answers

Answer:

60°

Step-by-step explanation:

That's an equilateral triangle therefore all sides and angles are the same.

In a benchmark study, a fast food restaurant had an average service time of 2.4 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute

Answers

Answer:

[tex]P(x \le 1)= 0.9093[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 2.4[/tex] -- mean

Required

Determine [tex]P(x \le 1)[/tex]

This is calculated using:

[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]

So:

[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]

[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]

[tex]P(x \le 1)= 1 - 0.0907[/tex]

[tex]P(x \le 1)= 0.9093[/tex]

Helppppppp plZ I’ll mark you brainlist

Answers

Answer:

the picture isnt loading. it says error.

Step-by-step explanation:

Answer:

Ummm Don't know

Step-by-step explanation:

Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m

Answers

Answer:

The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

ABC is translated right 5 units and down 5 units

Step-by-step explanation:

The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!

What is the constant of proportionality


will choose braij

Answers

The constant proportion of the following data is 5.

The constant proportion of the following data is 5.Thank hope it helps

I need help on my trig can someone help me on the question please and thank you

Answers

Answer:

210 degrees

Step-by-step explanation:

Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.

The current population of the Earth is estimated to be about 7,440,000,000 people. Express this number using scientific notation.

Answers

Answer:

7.44 × 10⁹

Step-by-step explanation:

You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.

9 spaces so it would be 7.44 × 10⁹

The scientific notation of the current population of the Earth will be;

⇒ 7.44 × 10⁹

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The current population of the Earth is estimated to be about 7,440,000,000 people.

Now,

Since, The current population of the Earth = 7,440,000,000 people

Hence, The scientific notation of the current population of the Earth is written as;

⇒ 7,440,000,000

⇒ 7.44 × 10⁹

Thus, scientific notation of the current population of the Earth is,

⇒ 7.44 × 10⁹

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Help me out I’ll give a stars real answers only.

Answers

Answer:

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled

Answers

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 434[/tex]

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 434[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that [tex]\mu = 434[/tex]

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]

[tex]z = -0.75[/tex]

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

True/False?: A best-fit line is created to model data comparing the gasoline consumed by a car (x) and the distance traveled in the car (y). The equation is y=24x−1. One possible explanation for the y-intercept being −1 is that cars that idle (sit still) also use some gas. So, while the model predicts that cars get 24 miles of travel per gallon of gas consumed, some gas is consumed just by a car running (not traveling).

Answers

Answer:

TRUE

Step-by-step explanation:

What is the value of 5 units as a mixed number

Answers

5integer 0/1 is the mixed fraction of 5 units

Please read the question and answer if you can 6th grade

Answers

Answer:

112 in

Step-by-step explanation:

14 x 8 = 112

The shaded region is half of the rectangle and also a triangle

Use formula: (L * W)/2
L = 14, W = 8
14 * 8 = 112/2 = 56
Solution: 56 in^2

Hi! I’ve already gotten this far, and found the value of x, but how would I go about finding the value of y from here?

Answers

Answer:

y=1 and x = 2

Step-by-step explanation:

Given equations are :

2x-2y = 2 ....(1)

5x+2y= 12 .....(2)

Adding equation (1) and (2),

2x+5x = 2+12

7x = 14

x = 2

Put the value of x in equation (!).

2(2)-2y = 2

4-2y=2

2=2y

y=1

So, the values of x and y are 2 and 1 respectively.

What is the quotient?

Answers

Answer:

4000000000000=4x10^12

Step-by-step explanation:

The first choice is the quotient.

To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.

This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit

and x is the shirt price,

p < -15x2 + 6003 + 60

P5,000

Complete the statements about the system's possible solutions.

When the price of the shirt is $15, the company

When the price of the shirt is $25, the company

its profit goals.

its profit goals.

Reset

Next

Answers

Answer:

At x = 15 ; price meets profit goal

At x = 25 ; price does not meet profit goal

Step-by-step explanation:

Constraint:

p < -15x2 + 600x + 60

P ≥ 5,000

x = shirt price ;

If x = 15

p ≤ -15(15²) + 600(15) + 60

p ≤ -3375 + 9000 + 60

p ≤ 5685

p ≥ 5000

5685 ≥ 5000 ( condition is met)

2.)

With a shirt price of $25

x = 25

p ≤ -25(25²) + 600(25) + 60

p ≤ -15625 + 15000 + 60

p ≤ - 565

p ≥ 5000

-565 < 5000 ( condition is not met)

a) When the price of the shirt is $15, the company meets its profit goals.

b) When the price of the shirt is $25, the company meets its profit goals.

What is the profit goal?

The profit goal is met when the price of a good or service exceeds the costs of its production and sales.

At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.

Thus, we can conclude that:

a) When the price of the shirt is $15, the company meets its profit goals.

b) When the price of the shirt is $25, the company meets its profit goals.

Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843

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karina has a job at a video game store, the total she is paid each week is made up of an hourly rate of

Answers

Answer:

you have not put the  full question

Step-by-step explanation:

Answer:

The question is incomplete

PLEASE ANSWER EXTRA POINTS AND NAMED BRAINLIEST

Answers

Answer:

5,8  8,3

Step-by-step explanation:

hoped this helped <33

what is the square root of

Answers

Answer:

13.42

Step-by-step explanation:

Dont go on bit. ly/3a8Nt8n (virus warning)
SPREAD NEWS PLEASE, THANKS <3
i have no more points from saying this so please at least just one post of this

Answers

okay! thank you so much for the awarness!
Thank you but can u Please help — Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?

If g(x) = 2 | x| − 1, what is g(−2.3)?

a.-7
b.-5
c.-4
d.-3

Answers

Answer:

-7

Step-by-step explanation:

What is the remainder of (x4 - 2x2 + x - 3) ÷ (x - 1)

Answers

Step-by-step explanation:

First simplify the parentheses. [tex]4x-2x^2+x-3=-2x^2+5x-3[/tex], and [tex]x-1[/tex] can't be simplified, so the equation has now been simplified to [tex]\frac{-2x^2+5x-3}{x-1}[/tex]. The equation can be divided to equal [tex]-2x+3[/tex], so I'm guessing either there is no remainder or the 3 is the remainder.

Hope this helps!

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!


An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.


A. What is the probability of getting a head and an even number?

B .What is the probability of getting a tail and the number 4?

D .What is the probability of getting a 5?

Answers

Answer:

Step-by-step explanation:

1. 1/2

2. 1/4

3. 1/8

Multiply (6+3i)(3+i)

Answers

Correct answer is B.

The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?

Answers

Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .

sorry I can't delete it this not answer your question

HURRRY I DONT KNOW HOW PLZ SHOW WORK

Answers

Answer:

you need a permission

Step-by-step explanation:

the owner of that page needs to give you permission to enter that page.

What can you say about

Answers

To say about what? What is the question about
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