The following random sample from a population whose values were normally distributed was collected.10 8 11 11The 95% confidence interval for μ is:a. 8.00 to 10.00b. 7.75 to 12.25c. 9.75 to 10.75d. 8.52 to 10.98

Answers

Answer 1

Answer:

Answer:

B

Step-by-step explanation:

First to find the sample mean

Xbar= summation x/n= 40/4= 10

The sample standard deviation is:

S= √summation(x-xbar)²/ n-1

=√6/3= 1.4142

The degrees of freedom

df= N-1= 4-1= 3

For 95% confidence level, critical value of t

t= 3.182

The 95% confidence interval is:

=Xbar plus or minus t' *8/√n

= 10 plus or minus 3.182(1.4142/√4)

= 10plus or minus 2.25

So 7.75 or 12.25


Related Questions

Round 630,379,982 to the nearest hundred thousand

Answers

Answer:

630,400,000

Step-by-step explanation:

630,379,982

The 3 above that is bold, between the 0 and the 7, is in the hundred thousands place.

To round to a place, change all digits to the right of that place to zero. If the digit immediately to the right is 0 through 4, you're done. If the digit immediately to the right is from 5 to 9, then you raise the digit you are rounding to by 1.

Step 1. Make all digits to the right of the hundred thousands digit 0.

630,300,000

Step 2. Since the digit immediately to the right of the hundred thousands digit was a 7, which is from 5 to 9, the digit we are rounding to goes up by 1. The 3 becomes 4.

630,400,000

Answer: 630,400,000

The answer would be 6,400,000

Enter the correct answer in the box replacing the values of m and b

Answers

What’s the rest of the question

Answer: f(x) = -2X + 5

Step-by-step explanation:

Help will give brainliest

Answers

Answer:

[tex](-1)+(-3)=-4[/tex]

Step-by-step explanation:

We were originally on -1.

But we jumped to -4.

-4 is 3 spaces to the left of -1.

In other words, we subtract 3 into -1.

Another way of saying this is that we added -3 to -1.

Therefore, our equation is:

[tex](-1)+(-3)=-4[/tex]

PART 5 - Mathematical knowledge
If 4x + 12 = 0, then x=
A -16
B -12
С-3
D
1/3
Click the button or type the letter tot

Answers

Answer: C) -3

Step-by-step explanation: 4(-3) + 12 = 0

38 animals are at the aquarium. 22 animals are manatees and the rest are sea lions.
How many of the animals are sea lions?
22 manatees
? sea lions
38 animals

Answers

Answer:

16

Step-by-step explanation:

38-22=16

16 sea lions

Answer:

38-22=16.

16 sea lions.

Which of the following is most likely the next step in the series?
o

Answers

Answer:

C

Step-by-step explanation:

the first shape has 6 edges, the second shape has 5 edges, the third shape has 4 edges, therefore the fourth shape has 3 edges (c)

C.
It’s C because the sides go down.

Hector works in a gas station and earns $15.50 per hour. Last week he worked 29 hours. What was his gross pay?

Answers

Answer:

449.50

Step-by-step explanation:

because gross pay is before taxes and everything else and he worked 29 hours so 15.50 × 29 = $449.50

The amount of money that Hector works in a gas station will be $449.50.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Hector works in a service station and procures $15.50 each hour. Last week he worked 29 hours.

The total cost that Hector can earn will be given as,

⇒ $15.50 x 29

⇒ $449.5

The gross pay that Hector works in a corner store will be $449.50.

More about the Algebra link is given below.

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What is the average of 74 and 57?

Answers

Answer:

65.5

Step-by-step explanation:

(74 + 57)divided by 2 = 65.5

Which of the following statements are always true? Justify your answers. a. If A + B = C, then AD' + BD' = CD' b. If A'B + A'C = A'D, then B + C = D c. If A + B = C, then A + B + D = C + D d. If A + B + C = C + D, then A + B = D

Answers

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Step-by-step explanation:

7. If a school has 70 computers in the ratio of 3 desktops for every 4 laptops, how many
are desktops? Explain your answer.

Answers

Step-by-step explanation:

As ratio of desktops to laptops=3:4

Take no. of desktops= 3x

Take no. of Laptops=4x

Total no. of desktops+ Total no. of laptops = Total no. of computers

3x+4x=70

7x=70

x=10

Hence, the total no, of desktops= 3x

Hence, Total no. of desktops= 3×10

=30 desktops

Write 3,141,500 in scientific notation.​

Answers

Answer:

The answer is 3.14 * 10^-6

Answer:

3.1415 * 10^6

Step-by-step explanation:

Scientific notation is  of the form a* 10 ^b where a is between 1 and less than 10

3,141,500  

Move the decimal 6 places to the left

The exponent is the number of places you move the decimal

Since we move it to the left, it is positive

3.141500 * 10^6

Drop the trailing zeros

3.1415 * 10^6

Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.

Answers

Answer: Jen is wrong about her classification.

Step-by-step explanation:

First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.

So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.

The Jen classifies the number 4.567 as an irrational number is false.

It is required to find the number is rational and irrational numbers.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given :

Jen's argument

We have

4.567 as an irrational number

The above claim is false because

4.567 =

4567/1000

When we divide the above number in the form of p/q  and q≠0 then then number is rational number.

Therefore, the Jen classifies the number 4.567 as an irrational number is false.

Learn more about real number here:

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This question relates to concepts covered in Lectures 1 & 2. You can use any of the excel files posted to work through the question. Demand at a store can be modeled by a random variable which takes the following values across four different scenarios that occur with following probabilities. Scenario Low: D1 = 10 with probability P1=0. 1 Scenario Medium 1: D2 = 30 with probability P...2=0,4 Scenario Medium 2. D3 = 60 with probability p. 3-0.4 Scenario High: 04 = 90 with probability p_4=0.7 What is the mean of this demand distributional?

Answers

Answer:

mean of this demand distribution = 100

Step-by-step explanation:

To find the mean of this demand distribution;

Mean = Expected vale = E[x]

for discrete provability function,

we say E[x] = ∑(x.p(x))

x     p(x)     x.p(x)

10     0.1     1

30    0.4    12

60    0.4    24

90    0.7    63

∴ ∑(x.p(x)) = ( 1 + 12 + 24 + 63 )

∑(x.p(x)) = 100

0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first

Answers

I'm pretty sure it's  0.04, 0.044, 0.4, 0.404, 0.44, 0.444.

0.04, 0.044, 0.4, 0.404, 0.44, 0.444

Find the indicated side of the
triangle.

Answers

Answer:

8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

is 7.69669669 a rational number

Answers

Answer:

yes it is

Step-by-step explanation:

hope this helps✨

Can someone help? This is from Kahn Academy

Answers

Answer:

B. [tex] \frac{ {7}^{36} }{ {9}^{24} } [/tex]

Step-by-step explanation:

[tex] \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ [/tex]

A ball player is at bat 55 times as hits the ball 33 times. Want ratio of his times at bat does he not hit the ball?

Answers

Answer:55:33

Step-by-step explanation:

55:33

5:2

He hits it 33 times so his bat does not hit the ball 22 times. 55:22 > 5:2

Can you please help me with this I’ll give you a Brainly list please it’s hard

Answers

The correct answer is 6+6-17

Answer:

Your answer will be 6+6-17 hope this helps :)

Step-by-step explanation:

give an example of a set of five different numbers whose mean is 290

Answers

Answer:

200,300,290,320,340

Step-by-step explanation:

If the mean of five numbers = 290

Then the total sum of the five numbers should be= 290*5

= 1450

an example of a set of five different numbers whose mean is 290

= 200,300,290,320,340

Summation of the above

=( 200+300+290+320+340)

= 1450

So the above set of numbers is a good example of a set of five different numbers whose mean is 290

What is 4 4/5+7 3/5-6

Answers

Answer:

17.4

Step-by-step explanation:

44/5 = 8.8

73/5 = 14.6

8.8 + 14.6 = 23.4

23.4 - 6 = 17.4

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?

Answers

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a strawberry? (Please simplify your answer) 3 3 5 5 1/6 1/6 1/5

Answers

Answer:

[tex]Probability = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

Grape = 15

Cherry = 7

Lemon = 3

Strawberry = 5

Total = 30

Required

Determine the probability of picking a strawberry

The probability of drawing a strawberry is calculated by dividing the number of strawberry by the total number of fruits as follows;

[tex]Probability = \frac{Strawberry}{Total}[/tex]

Substitute 5 for Strawberry and 30 for Total

[tex]Probability = \frac{5}{30}[/tex]

Divide the numerator and denominator by 5

[tex]Probability = \frac{1}{6}[/tex]

Hence, the required probability is [tex]\frac{1}{6}[/tex]

f(x)=-4x+1 Find the average rate of change from 2 to 5.

Answers

Answer:

- 4

Step-by-step explanation:

The slope of the line is the average rate of change of f(x)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = - 4x + 1 ← is in slope- intercept form

with m = - 4 ← average rate of change

Which step in the problem-solving process includes the following statement? Identify the information the problem gives you. A. Understand B. Look back C. Solve D. Plan

Answers

Answer:plan

Step-by-step explanation:

A visitor guide for a downtown area lists many restaurants. Which of the following is an example of a quantitative variable the guide could report for each restaurant? A. the zip code of the restaurant B. the number of seats in the restaurant C. the type of cuisine the restaurant offers D. a restaurant critic’s letter grade (A–F)

Answers

The correct answer is B. The number of seats in the restaurant

Explanation:

The number of seats is a quantitative variable because this is expressed using numbers and can be understood through numbers.  For example, the average of seats in the restaurants in the area can be calculated by finding the total of seats and dividing the number into the number of restaurants.

On the other hand, the type of cuisine and the restaurant critic's letter grade do not involve numbers but qualities, which make them qualitative variables. Also, even if zip codes are expressed using numbers these cannot be understood through them, for example, you cannot add two zip codes.

Answer:

B

Step-by-step explanation:

Which number rounds to 4.3 when rounded to the nearest tenth?

Answers

Answer:

it is the same 4.3

Step-by-step explanation:

this numbers didn't add one number when you round(0,1,2.3.4)

this numbers(5,6,7,8,9), you add one number when you add

4.3 (the three is the tenth)and no number after it so its stell the same

The rounding number of 4.3 when rounded to the nearest tenth is 4.3

Here,

The number is 4.3

We have to find the rounding number of 4.3 nearest tenth.

What is Rounding number?

A method of approximating a number to its nearest place value is called Rounding of Numbers.

Now,

The number is 4.3

To round the decimal number to its nearest tenth, look at the hundredth place.

But here is no any number on hundredth number, hence no change occur for rounding 4.3 to the nearest tenth.

So, The rounding number of 4.3 when rounded to the nearest tenth is same as the number 4.3

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help I need to determine the slopes

Answers

Answer:

y-int: (0, -45)

x-int: (-10, 0)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

x-int:

When y = 0, x = -10, so (-10, 0)

y-in:

when x = 0, y = -45, so (0, -45)

195.21 is 24.10% of what number?

Answers

Turn the percentage into a decimal.

24.10 / 100 = 0.241

Divide.

195.21 / 0.241 = 810

Therefore, 195.21 is 24.10% of 810

Best of Luck!

Which one of the following correctly states the VaR for a 3-year period with a 2.5 percent probability?
a) Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]
b) Prob[Rp, I S E(Rp) x 13 - 1.645 x Op 3]
c) Prob[Rp, T = E(Rp) x V3 - 1.960 x Op 3]

Answers

Answer: Option A

Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]

Step-by-step explanation:

It should be noted that, the VaR for a 3-year period with a 2.5 percent probability is Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]. Therefore, option A only is correct while other options are wrong

Answer:

A: Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]

Step-by-step explanation:

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