A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is x Overbar, while the standard deviation is s. What is the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58.

Answers

Answer 1

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99% confidence interval for the population mean is given by:

[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.s is the standard deviation for the population.

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.58[/tex].

The other parameters are symbolic, hence the interval is given by:

[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103


Related Questions

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

See off side word is used it will be deducted half each time n is used

So we get a geometric sequence.

So correct formula is

[tex]\\ \rm\longmapsto f(n)=128(1/2)^n,n>1[/tex]

Option A is correct

Which data value is farthest from the mean? How far you is this value from the mean? Round to the nearest hundredths. 34,37,48,32,25,34,35,23,33,30.

Answers

Answer:

48; 14.90 or 14.9

Step-by-step explanation:

First you have to take the mean of the data set.

In order to do this, we take the sum of all of the data points and then divide them by the number of values like so...

[tex]\frac{34+37+48+32+25+34+35+23+33+30}{10}[/tex]

The answer to this is 33.1.

Now we have to find the value furthest from this value. In order to do this, we are going to take the highest (48) and the lowest value(23). Then we compare their distance from 33.1. After this, we can tell that 48 is further from 33.1 than 23 is.

Then for the second part, 48-33.1 = 14.90 and that is how far the value is from the mean.

What is the last step you should take when solving word problems? A.You should find a common denominator for your fractions. B.You should simplify your fractions with the GCF. C.You should clearly state your final answer. D.You should multiply the numerators and denominators. please help!?

Answers

Answer:

you should clearly state your final answer

Step-by-step explanation:

Answer:

You should find a common denominator for your fractions.

Step-by-step explanation:

easy hope this helps

A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent? (4 points) a the distance above the surface of the lake b the distance below the surface of the lake c the surface of the lake d the height of the fish

Answers

The answer would be the surface

Malia has
1/8 liter of juice. She distributes it equally to 3 students in her tutoring group. What fraction of the juice does each student get?

Answers

Answer: 1/24 L

Step-by-step explanation:

[tex]$\frac{1}{8} L \div 3= \frac{1}{8} \div \frac{3}{1}= \frac{1}{8} \times \frac{1}{3}=\frac{1}{24} \quad$ \\\\\begin{aligned}\therefore \text { Each student will get } &\frac{1}{24} L \text { of juice. }\end{aligned}[/tex]

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

  [tex]\frac{1}{8}\div \:3[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]

[tex]=\frac{1}{8}\div \frac{3}{1}[/tex]

[tex]=\frac{1}{8}\times \frac{1}{3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{1\times \:1}{8\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1[/tex]

[tex]=\frac{1}{8\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\times \:3=24[/tex]

[tex]=\frac{1}{24}[/tex]

Thus, 1/24 on fraction of juice each student get.

[RevyBreeze]

The friend has some quiz corrections currently, so anyone who helps thank you.

The width of the rectangle is 50% of its length. (18ft is length) What is the AREA of the rectangle.

Answers

Answer:

Area = 162 ft.^(2)

Step-by-step explanation:

50% of 18 ft. = 9 ft.

9 x 18 = 162 ft.^(2)

Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.


(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95

Answers

C $15.75 E $15.95 And B $16.25 those there the answers

Any answers I need help

Answers

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

[tex](5*21)=105\\105-15=90[/tex]

Step-by-step explanation:

A+B=180

(9×+15)×(3×-15)=180

12×=180

×=180\12

×=15 ans,,

There are 12 corn stalks, 6 tomato plants, 4
squash plants, and 2 cucumber plants in the
garden. What is the probability of randomly
picking a tomato or squash plant from the garden?

O 5/12
O 4/24
O 6/10
O 1/4

Answers

The probability of randomly picking a tomato or squash plant from the garden is 5/12.

What is probability ?

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

What is the probability of randomly picking a tomato or squash plant from the garden?

Probability = (total number of tomato / total number of fruits) + (total number of squash / total number of fruits)

total number of fruits = 12 + 6 + 4 + 2 = 24

(6/24) + (4/24) = 10/24 = 5/12

To learn more about probability, please check: https://brainly.com/question/26321175

Find the simplified product:
9x* *3x8
4
0 2/126²²
o 327x2
12
3x4
оо
9x
DONE

Answers

Answer:

[tex]3 {x}^{4} [/tex]

Step-by-step explanation:

[tex]\huge \sqrt[3]{9 {x}^{4} } . \sqrt[3]{3 {x}^{8} } \\ \\ \huge = \sqrt[3]{9 {x}^{4} \times 3 {x}^{8} } \\ \\\huge = \sqrt[3]{27 {x}^{12} } \\ \\ \huge\orange{= 3 {x}^{4} }[/tex]

What factor could you pull out of 10x AND 5?

2


x


10


5
WILL GIVE BRAINLY

Answers

Hi! I hope you're enjoying your day!

The common factor of 10x and 5 is

5.

What is a factor?

It's a number that a number is evenly divisible by.

Example: 2 is a factor of 10, because 10 is evenly divisible by 2.

Also, it may be tempting to say, "Well, 2 is the common factor!"

And that's not true in this case, because 5 isn't divisible by 2.

x is also not a common factor; 5 is a constant, it doesn't have any variables next to it.

Hence, the factor is

[tex]\boxed{\boxed{\bold{5}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Brian was thinking of a number. Brian adds 8 to it, then doubles it and gets an answer of 16. 4. What was the original number?

Answers

Answer:

the original number is 0.2

Step-by-step explanation:

2(x+8)=16.4

2x+16=16.4

2x=16.4-16

2x=0.4

x=0.2

Plss i don’t know how to find the answer help if you can

Answers

Solution in the picture

Answer:

[tex] \times = 1.8[/tex]

What is the volume of a beach ball with a radius of 13 centimeters?

Answers

Answer:

It is 9202.77
(rounded off)

Step-by-step explanation:

Volume=4/3*π*radius^3
The beach ball described is 4/3*π*13^3

Answer:

4/3 πr^13

4/3 π 13^3

4/3 π 2197 = 9202.77

(7 + 3) + 42 x (7-3) =

please hurry!!

Answers

꧁༒Answer༒꧂

[tex](7 + 3) + 42 \times (7 - 3) [/tex]

[tex]10 + 42 \times 4[/tex]

[tex]10 + 168[/tex]

[tex] 178[/tex]

Answer=178

Answer:

178

Step-by-step explanation:

Make sure to follow the order of operations:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

a bag contain 150 marbles. some are blue, and the rest are white. there are 21 blue marbles for every 4 white marbles.How many blue marbles are in the bag? Explain your resoning.

Answers

Answer:

787.5

Step-by-step explanation:

150x21÷4 sana makatolong

What happens to the standard error of m as sample size increases?.

Answers

Answer:

  SEM decreases by a factor of √N

Step-by-step explanation:

The standard error of the mean (SEM) is inversely proportional to the square root of the sample size. As the sample size (N) increases, the SEM is decreased by a factor of √N.

The SEM is the population standard deviation divided by √N for a normal distribution.

Which statement describes the solution(s) to the system of equations 2 x − 3 y = − 10 and − 6 x + 9 y = − 10 ?

Answers

X = 3/2 or 1 1/2

Both of the equations equal -10, therefor the equations are equal.

what is the volume of 5cm 3 cm 2cm

Answers

30 cm because you multiple 5x3 to get 15 then you do 15x2 which is 30

A rectangle is 18 inches long and 12 inches wide.

What is the perimeter of this rectangle?

Answers

Perimeter = 2 x length + 2 x width


perimeter = 2x18 + 2x12 = 36 + 24 = 60 inches


Answer: 60 inches

Find the slope of the line. m=

Answers

Answer:

See below.

Step-by-step explanation:

(-1,2),(3,-1)

-1-2/3-(-1)

-1-2/3+1

-3/4

The slope is -3/4.

-hope it helps

6. If George’s mom needs 3 kilograms of sliced cheese for a family party, how many
packages will she need to buy?
help meeeeeeeeeeeeee∅

Answers

Answer:

6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

There are many cylinders with radius 6 meters. Let h represent the height in meters and V represent the volume in cubic meters. Which equation represents the volume V as a function of the height h?

Answers

The equation that represents the volume of the cylinder is 36πhhh m³.

Explanation:

Formula: volume of a cylinder = πr²h

pi =  π = 22/7

r = radius

6² πhhh

36πhhh m³

The midpoint of a line segment partitions the line segment into a ratio of

1:1.
1:2.
2:1.
2:3.

Answers

Answer:

1:1

Step-by-step explanation:

First choice

If there are 108 people in a room and I need to put 9 each group how many group are there. 18 points

Answers

Answer:

12 groups

Step-by-step explanation:

brainliest pls

Answer:

12 because 180÷9=12 so it will be the are 12 groups or however it says ...

2
b.
b.
(n+ 6n - 4)(2n - 4)
---
Simplify each expression into its standard form

Answers

Answer:

14n^2-36n+16 is the answer

express 24% as a fraction in its lowest form

Answers

Answer:

I'm going to take a hunch and say it's 6/25

It's just a hunch but that's my answer

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!

Answers

Answer:

C.

We know that there are 100 total females and males.

So, the amounts of each type of math for both genders should add to get 100

A.

57 + 64 ≠ 100

B. 57 + 64 ≠ 100

C. 57 + 43 = 100

D. 57 + 64 ≠ 100

So, it has to be C

Who holds the world record for memorizing the most digits of pi.

Answers

Answer:

Akira Haraguchi.

Step-by-step explanation:

Akira Haraguchi, who in 2006 recited 100,000 digits of pi from memory at a public event near Tokyo.

how has the pandemic financial impacted households?​

Answers

Answer:

people are now earning less money than they did before the pandemic

Step-by-step explanation:

lord have mercy.

prices are going up because people need more pay,

many people are loosing their workers due to quarentined or loved one is quarentied,  not enough pay,

many houses are impacted because of people buying more stuff because again, prices are going up

many are impacted by the death of loved ones (funerals are expensive holy cow)

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