The average natural gas bill for a random sample of 26 homes in the 19808 zip code during the month of March was $305.30 with a sample standard deviation of $46.50. The 80% confidence interval around this sample mean is ________.

Answers

Answer 1
Given Confidence interval is 80% and we are only using 1 sample.
First find degrees of freedom = sample size - 1
Or: df = 26-1 = 25
Now subtract confidence int by 1 and divide by two to make it two tailed. Remember normal distribution looks bell-shaped and we are only looking on one side for our CI.
So: (1-0.8)/2= 0.2/2=0.1 which is our alpha
Now we need to use T-distribution table that should be found in textbook or online.
For 25 df and an alpha of 0.1 I get 1.316.
Some t-dist tables will even have the confidence intervals given DF on the bottom.
Now we have to divide sample Standard deviation by sample size to find the Standard error. This basically is to look for SD of all sample means around population mean, but more on that can be found online.
So: se= 46.5/sqrt(26)
Se= 9.119 let’s call it 9.12
Now multiply standard error by value from t-dist table: 9.12*1.316 = 12.0019 let’s call it 12.
So now to find confidence interval of 80% subtract to find lower bound and add to find upper bound from given mean.
Upper: 305.3 + 12 = 317.3
Lower: 305.3 - 12 = 293.3

Related Questions

The total cost for my brother's bowling party was $140 It cost $50 to reserve a bowling lane plus the cost of renting shoes for the 9 people attending.
How much is the cost of renting shoes per person?

Answers

Answer:

10

Step-by-step explanation:

140-50 = 90 90/9 =10

if the area of a triangle is 128 sqcm and height is 12cm, find its base?​

Answers

Area of triangle = 1/2 x base x height


128 = 1/2 x base x 12

Multiply both sides by 2:

256 = base x 12

Divide both sides by 12

Base = 21 1/3 cm

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

Answers

Answer:

3rd option

Step-by-step explanation:

the explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{-4}[/tex] = - 3 , then

[tex]a_{n}[/tex] = - 4 [tex](-3)^{n-1}[/tex]

What is d?

-16 (d + 1) = -20


d=?

Answers

Answer:

Step-by-step explanation:

Simplify it. -16d-16=-20.

Add 16 to both sides. -16d=-4

Divide 16 by both sides.

d=1/4

-16(d+1)= -20
-20 divided by -16 = 1.25
1.25 - 1 = .25
D=.25

Option 2: Increase by 10% each year
linear and exponential growth graph
Type 2:

d =
e =

Answers

Answer:

Type 2:  exponential growth

d =  121

e =  133

Answer:

Exponential growth

d: 121

e: 133.1

Step-by-step explanation:

edge 23

Carol and Peter to schoolCarol walks 3/5 a mile to walk to school Peter walks 0. 65 Which student has a father walk

Answers

Answer:

Peter.

Step-by-step explanation:

I’m assuming from context (your question was written poorly) you’re asking which student walked farther. This would be Peter. Why? Carol walked only 3/5 miles of the way to school, which would be .6 or .60

Peter walked .65 miles to school which is more than .60

A recipe uses 2 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints?

Answers

Answer:

24

Step-by-step explanation:

2 cups = 1 pint

2 cups = 12 serving

1 pint = 12 serving

2 pint = 12 x 2

2 pint = 24 serving

Use the properties of equality to find the value of x in this equation.

4(6x – 7) = 44

Answers

answer: x=3
explanation: calculator

Answer:

x = 3

Step-by-step explanation:

4(6x - 7) = 44

divide both sides by 4

6x - 7 = 11

add 7 to both sides

6x = 18

divide both sides by 6

x = 3

A tablecloth of round Table is full and the radius 9 yd what is the diameterg

Answers

Answer:

18

Step-by-step explanation:

The radius is half of the diameter, so we would multiply 9 x 2 and get 18.

Hope this helps!

help please find x (:

Answers

Okay. What you have to do is add all of the numbers shown.
103+36+33
Once you have gotten your answer(172) you must subtract that number with 180.
The answer is 8.

I need help.Im not very smart.

Answers

[tex]\frac{2}{3} x = 4\\2x = 4 * 3\\2x = 12\\x = 6[/tex]

Hope that helps!

\frac{1}{2}=21​=\,\,-\frac{3}{4}+\frac{3}{5}x−43​+53​x

Answers

Answer:

what?

Step-by-step explanation:

(07. 04 LC)


Mellie is conducting a test on mold spores on bread. She uses 6 slices of bread to compare two strains of mold. She applies one strain to the left side of the bread and one strain to the right side. She flips a coin to decide which strain goes on the right side of the bread. The mold spores that appear on each side are counted and she records them in a table.


Bread Number of Spots for Strain 1 Number of Spots for Strain 2

1 30 19

2 21 17

3 15 15

4 13 12

5 6 9

6 8 4

If Mellie is to perform an appropriate t-test to determine if there is a mean difference between the number of spots per piece of bread produced by the two strains, how many degrees of freedom should she use?


a

4


b

5


c

6


d

10


e

12

Answers

Considering the t-test applied, the number of degrees of freedom is given by:

d. 10.

What is the number of degrees of freedom of a t-test?

For a sample of size n, the number of degrees of freedom is given by:

df = n - 1

When there are m samples, the amount of degrees of freedom is m multiplied by the sum of degrees of freedom of each sample.

In this problem, there are 2 samples with 6 - 1 = 5 df, hence:

2 x 5 = 10.

Option d is correct.

More can be learned about a t-test at https://brainly.com/question/13873630

Help! How do I do this?

Answers

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).

in the triangle LKM we know 2 angles already :

angle 1 = 44°

angle K = 90° (right angle).

so, angle 2 = 180 - 90 - 44 = 46°

and so, angle 5 = 180 - 46 = 134°.

as the angles around point L on line KL are the angles 2 and 5.

angle 5 = 134°

solve for N.
5 - N = 1 1/4

Answers

Step-by-step explanation:

5-n=11/4

5-n=2.75

collect like terms

n=2.75+5

n=7.75

I hope this was helpful

is y – 2 = –5(x – 2) a linear function

Answers

Answer:

Yes

Step-by-step explanation:

y-2=-5(x-2)

y=-3(x-2)

HELP FOR BRAINLEST!!!

Answers

Answer:

3/4

Step-by-step explanation:

add total NOT male (9) total NOT 0.3 to 0.7 seconds (11) and subtract the number that is both not male and not 0.3 to 0.7 seconds (5)

9+11-5 = 15

over total (20)

15/20 simplifies to 3/4

Which equation is equivalent to 4. 5 = 2a? a = 2. 5 a = 2. 25 4. 5a = 2 a 2 = 4. 5.

Answers

Answer:

a=2.25

Step-by-step explanation:

Given the equation 4.5=2a, you'd finds the value of "a" and divide both sides by 2.

4.5/2=a

2.25=a

a=2.25

what is the answer?

Answers

Answer:

A. P(3/4)

Step-by-step explanation:

.•*
689
Four friends buy cinema tickets using this offer.
Cinema tickets
Buy 3 tickets and get a ticket free
They each pay £7.05
How much does a ticket cost?
t
+

Answers

Answer:

7.04*4=x

x/3=how much the tickets cost

Step-by-step explanation:

If each of the four friends pays $7.04, the equation would be set up like this: 7.04*4=28.16. This means the total cost for tickets is 28.16. If the total cost for three tickets is 28.16, just divide the total cost by how many tickets were purchased. 28.16/3=9.39. This means one ticket cost 9.39.

Answer:-

[tex]\longrightarrow \sf £ \:9.4 [/tex]

Solution:-

[tex]\leadsto[/tex]Money paid by 1 friend = £ 7.05

[tex]\leadsto[/tex]Money paid by 4 friend = £ 7.05 × 4

[tex] \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad[/tex]= £ 28.2

This is equal to cost of 3 tickets

[tex]\leadsto[/tex] Cost of 3 tickets = £ 28.2

[tex]\leadsto[/tex] Cost of 1 ticket = £ 28.2 ÷ 3

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad[/tex]=£ 9.4

Thus , each ticket cost £ 9.4 .

Sean works at a book shop. He finds that when a book is chosen from the shop at random, the following probabilities are correct: P(non-fiction) = 0.37 P(paperback) = 0.23 P(both non-fiction and paperback) = 0.18 - Work out P(neither non-fiction nor paperback) as a decimal.​

Answers

Answer:

0.22

Step-by-step explanation:

Add all the probabilities together then subtract it from 1

[tex]0.37+0.23+0.18=0.78[/tex]

[tex]1-0.78=0.22[/tex]

pls help me pic in the file .

Answers

Answer:

p = 33/100 = 33%

Step-by-step explanation:

p (probability) = 1.00 - [variables]

p = 1.00 - (0.12 + 0.07 + 0.05 + 0.28 + 0.15)

p = 1.00 - 0.67

p = 33/100

PLEASE SOMEBODY HELP QUICK!!!!

Part A: What is the maximum amount, in dollars, of profit Michelle can earn from the sale of her necklaces?

Michelle will sell her homemade necklaces for $8 each

at a craft fair. It costs her $150 for the booth rental at

the craft fair. She made 200 necklaces to sell.

Part A: What is the maximum amount, in dollars, of

profit Michelle can earn from the sale of her necklaces?

Answers

Answer:

$1,600

Step-by-step explanation:

Because she made 200 and they were $8 each. 200 times 8 equals 1,600

ABCD is a rectangle.Diagonal AD=10 and AB=8. What is the perimeter of the rectangle? *
A. 36
B. 16
C. 30
D. 40

Answers

Perimeter is going to be all sides added up. Because it’s a rectangle we know that side AD is the same as the opposite parallel side, which would be BC. And AB is the same as CD. Therefore 10+10+8+8
Answer : A. 36

draw the image of quadrilateral ABCD under the translation (x,y) (x+4,y-3)

Answers

Answer:

Without seeing or knowing the original coordinates for each point, all I can tell you is to take the original coordinates and add 4 to the x. Then subtract 3 from the y. Plot accordingly

An isosceles triangle has an angle that measures 112°. What measures are possible for the other two angles? Choose all that apply. 14, 84, 34, 20

Answers

34° is possible for the other two angles.

180°-112°=68°
68°/2= 34°

Use synthetic or long division to divide x^3+ 5x^2+ x- 10 by x+ 2. What is the new
expression?

Answers

Answer:

x2+3x−5

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

Answer:

1x^2 + 7x + 4/x+2

Step-by-step explanation: x^3+ 5x^2+ x- 10 by x+ 2.

    |  1        5      -10

2   | ----      2        14

     ________________

         1       7        4

X+2 = not a factorable --

1x^2 + 7x + 4/x+2

Find g(x), where g(x) is the translation 3 units right of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.

Answers

Answer:

g(x)=x2 +8= (x-0)2+8

Step-by-step explanation:

PLEASE HELP ME QUICKKKKK

Answers

(3)

It says the rocket was in the air for approximately 6 seconds before hitting the ground.

But the graph proves it untrue because after 6 seconds it is still in the air, rather than on the ground like (3) suggests.

on Saturday five girls held a car wash to earn money for each car they charged $6 the girls washed a total of 22 cars and collected an extra $10 in tips if they divide the money equally how much will each girl receive
This is due at 4:20 Can you please help

Answers

Answer:

$28.40

Step-by-step explanation:

First let's find how much they earned from washing the cars. They charged $6 for each car and washed 22 so 6x22=$132 from washing cars. After that they earned 10 more dollars so we have to add that. 132+10=$142 earned in total. Then we have to divide this total income between all of the girls. 142/5=$28.40 for each girl.

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