Confidence Interval: What is the 95% confidence interval to estimate the population mean?

Answers

Answer 1

Answer: The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

Step-by-step explanation:

A 95% confidence interval for population mean ([tex]\mu[/tex]) is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error < [tex]\mu[/tex] < Sample mean + margin of error) = 0.95.


Related Questions

-3|2•8-4•5|+(16-7)/3

Answers

Answer:

-9

Step-by-step explanation:

-3|16-20|+9/3

-3|-4|+3

-3*4+3

-12+3

-9

What is an equation of the line that passes through the points (5,-2) and (2, -5)?
Put your answer in fully reduced form.

Answers

Answer:

it would be -4

Step-by-step explanation:

because a positive and negative 5 cancel each other out.

and a negative 2 plus a positive 2 is a negative 4.

-4 because the dude on top said it

Round 3.802 to the nearest tenth.

Answers

Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

The product of sin 30 and sin 60 is same as the product of

Answers

Step-by-step explanation:

Sin(30)=0.5

Sin(60)=0.866

Sin(30)*sin(60)=0.433

In a study of 30 high school students, researchers found a high correlation, 0.93, between amount of exercise and weight lost. Which of the following statements is TRUE? The researchers proved that exercise causes weight loss, but only for high school students. There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation. The researchers proved that exercise causes weight loss. 93% of the high school students studied lost weight.

Answers

Answer:

Option A is true

The researchers proved that exercise causes weight loss only for high school students.

Step-by-step explanation:

We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.

Now, looking at each of the options;

- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.

- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.

-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.

-D is not true because the 93% is just a correlation and not a percentage of those who lost weight

Answer:

There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation

Step-by-step explanation:

Recall that correlation measures the strength and direction of linear association.  So r= 0.93 indicates a strong positive linear association.  Recall also, that correlation doesn't imply causation.  Causation is a direct change in one variable causing a change in some outcome.

Evaluate
Algebraic
Expressions
A large waffle cone costs $2.06 dollars more than a
sugar cone. The sugar cone is 1.56.
What is the cost of the waffle cone?​

Answers

Answer:

The waffle cone is $3.62.

First, say what your variables are.

w = large waffle cone

s = sugar cone

Next, create two equations given the data in the word problem.

[tex]2.06 + s = w[/tex]

[tex]s = 1.56[/tex]

Because you have what the sugar cone is valued at, replace the s in the first equation with 1.56 and solve.

[tex]2.06 + (1.56) = w[/tex]

[tex]w = 3.62[/tex]

given log6=0.778,find log36.

Answers

Answer:

We know that

1 ) log a^n = n log a

Now ,

log 6 = 0.7782 ----( 1 )

log 36 = log 6²

= 2 log 6

= 2 × 0.7782

= 1.5564

Sample size is not an important consideration when planning research and evaluations.
True
False

Answers

Answer:

false... the person said i wasnt sure so i had to put a solid answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

False.  Sample size has direct bearing on the size of the confidence interval being calculated.

Two integers are relatively _________ if and only if their only common positive integer factor is 1.

Answers

Answer:

Two integers are relatively primes if and only if their only common positive integer factor is 1.

Step-by-step explanation:

The prime number is one whose only divisor is 1 and itself.

The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.

So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.

So, two integers are relatively primes if and only if their only common positive integer factor is 1.

In a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested Among the men. 85 have red/green color blindness. Among the women, 6 have red/green color blindness.1. Test the claim that men have a higher rate of red/green color blindness- The test statistic is _____- The P-Value is _____- Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.05% significance level?A. Yes.B. No.2. Construct the 95% confidence interval for the difference between the color blindness rates of men and women_____ <(P1âP2)<_____

Answers

Answer:

1. Yes, there is sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women.

2. The 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Step-by-step explanation:

We are given that in a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested

Among the men, 85 have red/green color blindness. Among the women, 6 have red/green color blindness.

Let [tex]p_1[/tex] = population proportion of men having red/green color blindness.

[tex]p_2[/tex]   = population proportion of women having red/green color blindness.

So, Null Hypothesis, :      {means that men have a lesser or equal rate of red/green color blindness than women}

Alternate Hypothesis, :      {means that men have a higher rate of red/green color blindness than women}

(1) The test statistics that will be used here is Two-sample z-test statistics for proportions;

                             T.S.  =     ~  

N(0,1)

where, = sample proportion of men having red/green color blindness = = 0.085

[tex]\hat p_2[/tex] = sample proportion of women having red/green color blindness = [tex]\frac{6}{2800}[/tex] = 0.002

[tex]n_1[/tex] = sample of men = 1000

[tex]n_2[/tex] = sample of women = 2800

So, the test statistics =  [tex]\frac{(0.085-0.002)-(0)}{\sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1-0.002)}{2800} } }[/tex]  

                                     =  9.37    

The value of z-test statistics is 9.37.

Also, the P-value of the test statistics is given by;

               P-value = P(Z > 9.37) = Less than 0.0001

Since the P-value of our test statistics is less than the level of significance as 0.0001 < 0.05%, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we support the claim that men have a higher rate of red/green color blindness than women.

(2) The 95% confidence interval for the difference between the color blindness rates of men and women ([tex]p_1-p_2[/tex]) is given by;

95% C.I. for ([tex]p_1-p_2[/tex]) = [tex](\hat p_1-\hat p_2) \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }[/tex]

                                 = [tex](0.085-0.002) \pm (1.96 \times \sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1- 0.002)}{2800} } )[/tex]

                                 = [tex]0.083 \pm0.0174[/tex]

                                 = [0.0656, 0.1004]

Here, the crtical value of z at 2.5% level of significance is 1.96.

Hence, the 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.
The set-builder notation is {x|

Answers

Answer: {xI x ∈ R, 19 < x < 32}

Step-by-step explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}

Which expression represents the phrase "5 less than a number"? Question 3 options: n 5

Answers

x-5 is five less than a number

4) A bay contains 18 balls out of which ac balls
are white :
one ball is drawn at random
what is the probability that it is white
ii) at two more white balls are put in the
bag
the probability of craving a white ball
& times than that it was before. Find a

Answers

Answer:

find a what?because it dont tell us what to find

pt 2 5-7 please helpp

Answers

Answer:

x = 12

Step-by-step explanation:

__9x__      =     __108___

   9                          9

x = 12

Hi there! Hopefully this helps!

------------------------------------------------------------------------------------------

Answer: x = 12.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]9x = 108[/tex]

Divide both sides by 9.

[tex]\frac{108}{9}[/tex]

Divide 108 by 9 to get, you guessed it, 12!

15 points?

Solve for A

5/A = P

A = ????

That’s all it says
Please state what A is.

Answers

Answer:

A = 5 / P

Step-by-step explanation:

5 / A = P

A = 5 / P

Plz help (URGENT) The data shows the number of bacteria in a culture after a given number of hours. Based on the data, which is closest to the number of hours it takes the culture to reach 12,000 bacteria? A) 16 hours B) 19 hours C) 22 hours D) 25 hours Hour Bacteria 1 2,215 2 2,235 3 2,360 4 2,680 5 3,075

Answers

Answer:

The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Step-by-step explanation:

To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.

The general form of the regression equation is:

[tex]y=a+bx[/tex]

Compute the values of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sumX\sum XY}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075-12565\cdot39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sumX\sum Y}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860-12565\cdot15}{5\cdot 32109075-(12565)^{2}}=0.004[/tex]

*Use the Excel data sheet attached.  

The regression equation of number of hours based on the number of bacteria is:

[tex]y=-7.203+0.004x[/tex]

Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:

 [tex]y=-7.203+0.004x[/tex]

   [tex]=-7.203+(0.004\times12000)\\=-7.203+48\\=40.797\\\approx 41[/tex]

Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Early this morning the temperature was 54°F Fahrenheit around noon the temperature increase 45° at 5 PM a north wind made the temperature for 49°F but just before midnight the wind started to blow for from the south making the temperature in rase by 50°F what is the temperature at midnight

Answers

Answer:

The temperature at midnight is 100°F.

Step-by-step explanation:

We are given that early this morning the temperature was 54°F, around noon the temperature increase by 45°, at 5 PM a north wind made the temperature fall by 49°F but just before midnight the wind started to blow for from the south making the temperature in rise by 50°F.

Firstly, the early morning temperature was = 54°F

Now, it is stated that around noon the temperature increase by 45°, so the temperature around noon will be = 54°F + 45°F = 99°F

At 5 PM a north wind made the temperature fall by 49°F, this means there will be a decrease in the temperature level = 99°F - 49°F = 50°F

Finally, just before midnight; there is an increase in the temperature level of  50°F, so the temperature at midnight would be = 50°F + 50°F = 100°F

Hence, the temperature at midnight is 100°F.

Three people of kaui Island are named Alice, Bob and Carol. At least one of them is a Knight and at least one is a Knave. Exactly one of them has a prize.
They made the following statements:
Alice: Bob doesn’t have the prize
Bob: I don’t have the prize
Carol: I have the prize
Using logic & truth table find that Who has the prize?

Answers

Answer:  Alice has the prize

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}[/tex]

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

          Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Line 3:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 4:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 5:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 6:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

you are playing a game in casino. the dealer throws 2 six sided dice. you win the product of the values on the dice. assuming you are risk neutral. how much are you willing to pay to play this game

Answers

Answer:

12.25

Step-by-step explanation:

There are 36 outcomes in a throw of 2 dice throws here.

The amount we would be willing to pay is computed here as the expected product value for the 2 dice as we are risk neutral, therefore we would be using the expected value.

The expected values here are computed as:

X P(X = x) xP(X =x)

1 1 1

2 2 4

3 2 6

4 3 12

5 2 10

6 4 24

8 2 16

9 1 9

10 2 20

12 4 48

15 2 30

16 1 16

18 2 36

20 2 40

24 2 48

25 1 25

30 2 60

36 1 36

36 441

Using the above table, the expected amount here is computed as:

[tex]E(X) = \frac{441}{36} = 12.25 [/tex]

Therefore 49/4 is the required expected value here.

The expected value represents the amount you are willing to pay.

The amount you are willing to pay is #12.25

Let the dice be A and B.

So, we have:

[tex]A = \{1,2,3,4,5,6\}[/tex]

[tex]B = \{1,2,3,4,5,6\}[/tex]

The sample space of the product of the outcomes of the dice is:

[tex]S = \{1,2,3,4,5,6\\2,4,6,8,10,12\\3,6,9,12,15,18\\4,8,12,16,20,24\\5,10,15,20,25,30\\6,12,18,24,30,36\}[/tex]

The sample size is:

[tex]n(S) = 36[/tex]

The amount you are willing to pay is the expected value of the sample space.

This is calculated using:

[tex]Expected = \frac{\sum(S)}{n(S)}[/tex]

[tex]Expected = \frac{1+2+3+4+5+6+.......+36}{36}[/tex]

[tex]Expected = \frac{441}{36}[/tex]

[tex]Expected = 12.25[/tex]

Hence, the amount you are willing to pay is #12.25

Read more about expected values at

https://brainly.com/question/16726343

47 + 3x+10=9x-39 what is x ?

Answers

Answer:  x = 16

Work Shown:

47 + 3x + 10 = 9x - 39

3x + 57 = 9x - 39

3x - 9x = -39 - 57

-6x = -96

x = -96/(-6)

x = 16

X=16

Answer Explanation:

this is rlly easy im just hella lazy and i dont wanna answer it- pls help tyyy

Answers

Answer:

d.

Step-by-step explanation:

the other ones are adding and the 3 is obviously being subtracted.

The answer is D since it’s a -3 it means it’s subtracting not adding

Which symbol is needed between -2? |-3| to make a true statement? PLS HELP
60 points!!!!!!!!!!!!!!!
A. <
B. >
C. =

Answers

Answer:

[tex]\Huge \boxed{<}[/tex]

Step-by-step explanation:

-2 ? |-3|

Solve for absolute value.

Apply rule : |-a| = a

|-3| = 3

-2 ? 3

-2 is less than 3.

The less than symbol is “<”.

-2 < 3

This visual representation shows the sets of real numbers.
Which statement is true regarding the number sets?
Whole numbers and natural numbers have no
numbers in common.
Some natural numbers are also whole numbers, but
not all natural numbers are whole numbers.
All whole numbers are also natural numbers.
All natural numbers are also whole numbers.

Answers

Answer:

All natural numbers are also whole numbers.

Step-by-step explanation:

Natural numbers are called counting numbers. They are numbers you can count. Although, Zero is not among them. Neither are negative numbers. Succinctly put, Natural numbers are numbers you can count with the exception of negative numbers and Zero.

Whole numbers are an extension of natural numbers. Unlike Natural numbers although, whole numbers contain Zero. Yet, like natural numbers, that do not contain negative numbers. As a result, we can call them counting numbers that includes Zero.

Now from the above definitions, we can see that

1, whole numbers and natural numbers have many numbers in common. So then, 1 is wrong.

2, all natural numbers are whole numbers, not some. So then, 2 is wrong

3, all whole numbers are not natural numbers, because Zero is a whole number, yet, it's not a natural number.

4, all natural numbers are whole numbers, and this is our answer.

Starbucks repurchased over $7,208.7 million of its common stock in 2018. Did this repurchase increase or decrease Starbucks’ ROE?

Answers

Probably increase yayayay

Which of the following relations represent a function? A. {(-1,-1),(0,0),(2,2),(5,5)}. B. None of these. C. {(0,3),(0,-3),(-3,0),(3,0). D. {(-2,4),(-1,0),(-2,0),(2,6)

Answers

Answer:

  A

Step-by-step explanation:

In a list of ordered pairs, a relation that is a function will not have any repeated x-values.

A -- a function (x-values are {-1, 0, 2, 5} with no repeats)

B -- irrelevant

C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)

D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)

Someone, please help me with this.

Answers

Answer:

x = 14

Step-by-step explanation:

To solve this problem, we must remember that the addition of two angles that create a straight line should have a sum of 180 degrees.

From this information, we can create the following equation.

(7x - 1) + (6x - 1) = 180

Eliminating the parentheses and grouping like terms gives us:

(7x + 6x) + (-1 + -1) = 180

Simplifying inside the parentheses on the left side produces:

13x - 2 = 180

Next, we should add 2 to both sides to isolate the variable term:

13x = 182

Finally, we should divide by 13 to get the x by itself on the left side of the equation:

13x/13 = 182/13

x = 14

Therefore, the answer to your question is x = 14.

Hope this helps!

Answer:

x = 14

Hope it helps u

plz mark it as brainlist

Is -2 is a whole number

Answers

Answer:

It's a negative number and ig you can say it's a whole number

Step-by-step explanation:

Can someone help me QUICK lol sorry!! B is the midpoint of AC. If AB=8x+2, and BC = 4x+18. Find AC

Answers

Answer:

AC = 12x + 20

Step-by-step explanation:

Combine the terms:

AB + BC = AC

AB = 8x + 2

BC = 4x + 18

Plug in the corresponding terms to the corresponding variables:

(8x + 2) + (4x + 18) = AC

AC = 8x + 4x  + 18 + 2

AC = 12x + 20

12x + 20 is your answer for AC.

~

Answer:

68

Step-by-step explanation:

8x+2=4x+18

8x-4x=18-2

4x=16

x=4

Now we substitute it back in:

8(4)+2+4(4)+18-

32+2+16+18=

68

How do I solve a mathematics problem that is too complex for me to solve?

Answers

Answer:

First, you should read that statement many time and just try to learn the concepts of that chapter and look at your examples you will find something same as your questions. Then if you cannot solve that question ask your elder to understand. After understanding that question do that question 4 to 5 times then you will understand that question easily..

Hope you like it please thank me or mark it as a brainliest answer.....

Answer:

If you really can't solve it and you have no idea what the question is talking about, ask someone for help. For example, your teacher or your friends.

You can literally post your question on Brainly for us to answer if we can. That is the purpose of Brainly. Even if it is a really complex and hard question, you should still take the chance of posting it since there are like millions of people using Brainly and this will make it much more easier to find someone to help you.

a student randomly picked three different points on a line, and then noticed that all three points were also on on the same circle

Answers

Answer:

C)It is impossible.

Step-by-step explanation:

According to the situation, the three different points should not be on the same line as it is possible that the circle would possibly a radius of infinite which reflects the impossible as it is nothing but infinite true. So, it is impossible that three different picked points on a line could be on a circle.

There is no straight section across a curvature of a circle as the points cannot be the same distance from the middle as it is the definition of a circle.

So, the correct answer is C

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