An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that the mean income is found to be $22.4 for a random sample of 2128 people. Assume the population standard deviation is known to be $9.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.

Answers

Answer 1

Answer:

[21.9, 22.9] in thousands of dollars

Step-by-step explanation:

The formula for Confidence Interval

= Mean ± z score × standard deviation/√n

Mean = $22.4

Standard deviation = $9.3

n = 2128

z score of 98% confidence interval = 2.326

Confidence Interval = 22.4 ± 2.326 × 9.3/√2128

= 22.4 ± 0.469

Confidence Interval =

22.4 - 0.469

= 21.931

≈ 21.9 in thousand of dollars

22.4 + 0.469

= 22.869

≈ 22.9 in thousands of dollars

Hence, the 98% confidence interval =

[21.9, 22.9] in thousands of dollars


Related Questions

Write a word problem using "less than"
someone help​

Answers

Answer:

Sandra had 500 beads in a jar, her sister, Dandra has 300 beads less than Sandra. How many beads does Dandra have?

:)

Helpppppp please due today ​

Answers

Answer:

Y=-2x+5 (3 or C)

Step-by-step explanation:

Replace the value of x

Y= -2x(-1)+5

Solve

Y= 2+5

Y= 7

What is the length of segment DF?
B
4/28
1
68°
C
2
А A
2
3
8
4
68°
28°
F
5
Type your answer.

Answers

Answer:

DF = 17.12

Step-by-step explanation:

From the picture attached,

From ΔABC and ΔEFD,

m∠ABC = m∠EFD = 28°

m∠BAC = m∠EDF = 68°

By AA property of similarity, ΔABC and ΔEFD will be similar.

And their corresponding sides will be proportional.

[tex]\frac{AB}{EF}=\frac{BC}{DF}=\frac{AC}{ED}[/tex]

[tex]\frac{4}{EF}=\frac{BC}{DF}=\frac{2}{8}[/tex]

[tex]\frac{4}{EF}=\frac{1}{4}[/tex]

EF = 16

Now by applying cosine rule in ΔDEF,

DF² = ED² + EF² - 2(ED)(EF)cos(E)

DF² = 8² + (16)² - 2(8)(16)cos(84)°

DF² = 320 - 26.76

DF = √(293.24)

DF = 17.12

A school district wants to find out why dropout rates were lower at some schools rather than others. What statistical approach would be most appropriate?A) A regression with dropout rates as the independent variableB) A regression with dropout rates as the dependent variableC) A hypothesis test with a null hypothesis that the dropout rate is more than the highest dropout rateD) A confidence interval with the expected dropout rate as the meanE) A hypothesis test with a null hypothesis that the dropout rate is less than or equal to the highest dropout rate

Answers

Answer:

E) A hypothesis test with a null hypothesis that the dropout rate is less than or equal to the highest dropout rate

Step-by-step explanation:

The hypothesis test is the type of test that helped a scientist to determine the relationship between two variables-one constant independent variable and an dependent variable. For the dropout rates in the different schools, it would be better to use the hypothesis test for the evaluation.

What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?

Answers

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

[tex]P = 19x^2 + 15x + 12[/tex]

[tex]D = x -2[/tex]

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

[tex]D = 0[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Substitute 2 for x in the polynomial.

This gives remainder (R)

[tex]R = 19*2^2 + 15*2 + 12[/tex]

[tex]R = 19*4 + 15*2 + 12[/tex]

[tex]R = 76 + 30 + 12[/tex]

[tex]R = 118[/tex]

Hence, the remainder is 118

9y - 36 simplified or expanded

Answers

Answer:

simplified

Step-by-step explanation:

look this is mad easy the answer is simplified because since there is no equal sign you dont need to find the value of y.

1. If 27.4578 is increased by 9.3456, what is the answer?
A. 36.8124
B. 35.8024
C. 36.8034
D. 35.8124​

Answers

Answer:

36.8034

not sure.....

8.91 divided by 5 dividing with decimal

Answers

Answer:

1.782

Step-by-step explanation:

8.91 ÷ 5= 1.782

Answer: 1.782

Step-by-step explanation:

Divide  8.91  by  5

1.782

Which set of statements explains how to plot a point at the location
(-33.-2)
Start at the origin. Move 3 units right because the x-coordinate is - 3
3.
-3-3
is between 3 and 4. Move 2 units dow
A because the y-coordinate is -2.
Start at the origin. Move 3 units down because the x-coordinate is 3.1.-3 is between -3 and -4. Move 2 units
left because the y-coordinate is -2.
O Start at the origin. Move 3 units down because the x-coordinate is -3
-3.7.-3
2 is between -3 and -4. Move 2 units
right because the y-coordinate is -2.
Start at the origin. Move 3 units left because the x-coordinate is -3
-35-3 is between -3 and -4. Move 2 units
down because the y-coordinate is -2.

Answers

Answer:

last one or d

Step-by-step explanation:

Lets test these statements. 1 is incorrect. 2 is incorrect 3 is incorrect 4 is correct.

The answer is the last one

Ise9urgyobrhrstbydfdsfwefwefsdfewfds

Answers

Yeah I think x=12y on this one correct me if I’m wrong

PLEASE HELP!

Identify the y-intercept and zeros of
y = x^4 - 9x^2 - 36
Algebraically​

Answers

Answer:

Our y-intercept is (0, -36).

Our real zeros are: (-2√3, 0) and (2√3, 0)

And our imaginary zeros are: (i√3, 0) and (-i√3, 0)

Step-by-step explanation:

We have the function:

[tex]y=x^4-9x^2-36[/tex]

Let's identify the y- and x-intercepts.

Y-Intercept:

To determine the y-intercept, we will substitute 0 for x and solve for y. So:

[tex]y=(0)^4-9(0)^2-36[/tex]

Evaluate:

[tex]y=-36[/tex]

Therefore, our y-intercept is at (0, -36).

X-Intercepts:

To determine our x-intercepts, we need to substitute 0 for y and solve for x. So:

[tex]0=x^4-9x^2-36[/tex]

Now, we can factor. Before doing so, we can make the factored easier to see by converting this into quadratic form. Let's let u=x². Then:

[tex]0=(u^2)^2-9(x^2)-36[/tex]

Substitute:

[tex]0=u^2-9u-36[/tex]

Now, let's factor. We can use -12 and 3. So:

[tex]0=u^2+3u-12u-36 \\ 0=(u(u+3)-12(u+3)) \\ 0=(u-12)(u+3)[/tex]

Now, we can substitute back u:

[tex]0=(x^2-12)(x^2+3)[/tex]

Zero Product Property:

[tex]x^2-12=0\text{ or } x^2+3=0[/tex]

Solve for x in each case:

[tex]x^2=12 \text{ or } x^2=-3[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus. Therefore:

[tex]x=\pm\sqrt{12}=\pm2\sqrt{3}\text{ or } x=\pm\sqrt{-3}=\pm i\sqrt{3}[/tex]

Therefore, our zeros (both real and imaginary) are: (2√3, 0), (-2√3, 0), (i√3, 0), and (-i√3, 0)

A $250 suede jacket is on sale for 20%off how much should you pay for the jacket

Answers

250 * 0.20 = $50 sale
250 - 50 = $200
You will pay $200 after sale

Answer: $ 200

Step-by-step explanation:250 * 0.20 = $50 sale

250 - 50 = $200

Why can prime number be a multiple of any other number except itself

Answers

Answer:

the factors of prime numbers are only 1 and itself

Answer:

A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.

Step-by-step explanation:

Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?

Answers

Answer:

she makes $22.80 a day

Step-by-step explanation:

since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.

hope this helped!

A group of 10 friends are in line to see a movie. It cost $15 for 3 people to see a movie. How much will the group pay?​

Answers

Answer:

50

Step-by-step explanation:

15/3=5

5*10=50

Answer:

So if it costs 15$ for 3 just multiply that by 3 (which equals the amount it’d cost for 9 people, which is 45$). And then divide 15 by 3 which is 5$ or the amount it’d cost for one person to see a movie. 45+5=50$. So the group will pay 50$.

Please help someone last one

Answers

Answer:

a in table → b on number line

b in table → c on number line

c in table → a on number line

Step-by-step explanation:

Here, we see the points are square roots. A square root of a number is a value, that when multiplied by itself, gives the number. For example, 4 × 4 = 16, so the square root of 16 is 4.

We can apply this logic easily by simplifying the square root, or multiplying integers with each other (aka "squaring" the integers) and seeing which result is closest to the value inside the square root.

Simplifying the square root won't help here, if we don't know basic values such as √3 or √2. So, we can just multiply an integer with itself and see if that value is closer to the value inside the square root.

For point a, we see the number inside the root is 27. We can start multiplying:

1×1 = 12×2 = 43×3 = 94×4 = 165×5 = 256×6 = 36

25 is the closest value to 27 here. So, we know the point is somewhere around 5, and since 27 is slightly larger than 25, the point is slightly larger than 5. So, point a in the table is most likely point b on the number line.

For point b, we see the number inside the root is 32. We can start multiplying:

1×1 = 12×2 = 43×3 = 94×4 = 165×5 = 256×6 = 36

36 is the closest value to 32 here. So, we know the point is somewhere around 6, and since 32 is smaller than 36, the point is lesser than 6. So, point b in the table is most likely point c on the number line.

For point c, we see the number inside the root is 16. We can start multiplying:

1×1 = 12×2 = 43×3 = 94×4 = 16

16 is right on the dot! That means that the square root of 16 is 4, which leaves us with point a on the number line.

If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?

Answers

Answer:

range: (-5, ∞)

domain: (-∞, ∞)

Step-by-step explanation:

given vertex, absolute minimum: (-3, -5)

Range look at y-value

(minimum, maximum) the -5 will be on the left  of the comma b/c its the min

If this was a max, you would put the y-value on the right side of the comma

A teacher had 52 boxes of chocolates with 34 pieces of
chocolate in each box. She wanted to give them to 26 girls and
to 32 boys. Each girl got 36 pieces of chocolate. How many
pieces of chocolate did each boy get?
__ pieces of chocolate

Answers

Answer:

each boy will get 26 pieces of chocolate

Answer:

The boys got 26 pieces of chocolate (gender inequality, lol)

Step-by-step explanation:

52 x 34 = 1768

26 x 36 = 936

1768 - 936 = 832

832/32 =

26

Set up an equation and solve for x

Answers

Answer:

x=22

Step-by-step explanation:

3x+3+27+x+3+2x+18=180

6x+48=180

6x=132

x=22

Find the area of each square. Each grid square represents 1 square unit.

Answers

is there a picture..?

MArking people as BRAINLIST only answer if you know

Answers

Answer:

Quad 4!

Hope I helped!

~PumpkinSPice1

If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is
f(b) − f(a)/b − a
and the velocity at t = c is f '(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f '(c) is equal to the average velocity. For instance, if a car traveled 150 km in 2 hours, then the speedometer must have read km/h at least once.
In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.

Answers

Answer:

75 km/hr

Step-by-step explanation:

So, if a car travels 150 km in 2hours.

Then;

f(t=0) = 0

f(t = 2 hours) = 150 km

Therefore;

f'(c) (speedometer reading) = f(t=2)-f(t=0)/(2-0)

f'(c) (speedometer reading) = 150/2  km/hr

f'(c) (speedometer reading) = 75 km/hr

In timed pls help

To find this product, Julissa first multiplied 83 x 49.

0.83 x 0.49 = 4067

Where should she place a decimal point in the final product

O Before the 4

O after the 4

O after the 0

O before the 7

Answers

She would place it before the 4.

Answer:

that guys answer is right thx and have a god day :)

Step-by-step explanation:

PLEASEEE HRLPPPPPHELPPP PLEASEE :(((

Answers

Answer:

it's either the 1st choice or 4th

The rate of 225 mi in 7 hr written as a unit rate

Answers

Answer:

32.14 an hour

Step-by-step explanation:

Answer:

32.142857 miles per hour

Step-by-step explanation:

This is the answer because:

This is a fraction equal to

225 miles ÷ 7 hours

We want a unit rate where  1 is in the denominator,  so we divide top and bottom by 7 .

225/7 = 225/7 and 7/7 =  32.142857/1

Therefore, the answer is  32.142857 miles per hour.

Hope this helps!

The use of performance materiality should:_____________.A. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is greater than materiality for the financial statements as a whole.B. increase the probability that the sum of immaterial and/or undetected misstatements in the financial statements is greater than materiality for the financial statements as a whole.C. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements as a whole.D. increase the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements

Answers

Answer:

C. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements as a whole.

Step-by-step explanation:

This is the likely answer going by the relationship between the undetected misstatement and the materiality for the financial statements.

CAN YOU PLEASE HELP ME WITH THIS );

Answers

Answer:

Across

5 across: percent of change

6. Ratio

7. Decrease

Down.

1. Percent

2 interest

3 proportion

4 sales tax

Step-by-step explanation:

Erica makes $27 an hour how much does ahe make in 140 hours​

Answers

$27*140=

$3780 is your answer

Answer:

$3,780

Step-by-step explanation:

27*140=3780

in alana's math class there are 12 boys to 13 girls what is the ratio of boys to girls

Answers

Answer:

12:13

Step-by-step explanation:

The ratio of x to y is x:y

12 boys : 13 girls = 12:13

PLS GIVE BRAINLIEST

I am not sure, but i think the answer is
12/13

Margaret prepared and cooked the food
for their Thanksgiving feast for 5 hours and
25 minutes. She started at the time shown
below. What time did she finish

Answers

What’s the time she started?
Other Questions
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