A company manufacturing a roadside lighting system wants to estimate the average illuminance (brightness) at sunset. The illuminance at sunset for the past 10 days was as follows: 406, 385, 389, 383, 352, 379, 388, 343, 368, 387 lux. Construct a 95% confidence intervals for the average illuminance at sunset. Assume that the illuminance at sunset is approximately normally distributed.

Answers

Answer 1

Answer:

(364.595 ; 391.405)

Step-by-step explanation:

Given the sample data:

406, 385, 389, 383, 352, 379, 388, 343, 368, 387

Using calculator :

Sample mean, xbar = 378

Standard deviation, s = 18.74

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at df = 24 ; 0.05 = 2.262

Margin of Error = 2.262 * 18.74/√10 = 13.405

Lower boundary = (378 - 13.405) = 364.595

Upper boundary = (378 + 13.405) = 391.405

(364.595 ; 391.405)


Related Questions

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Alternate exterior angles lie on the outer part and are opposite each other
4 and 6
1 and 7


Answer choices
18
25
30
40
Please help no links I will report

Answers

Answer 30
Because is 40% and is ok most 50%

Answer:

the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53

Which Expressions Represent Area?

Answers

Answer:

Step-by-step explanation:

i need help fast, thank you!!!

Answers

Answer:

D

Step-by-step explanation:

30 multiplied by 1.34 is 40.2

HELPP PLEASEEE MY GRADE DEPENDS ON ITTT!!!!!!!!!
Find the value x.

Answers

Answer:

its ten i think it depends on my work

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64\times x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{48^2}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{2304}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=36[/tex]

pls help im so confused find m

Answers

Answer:

i think it is 47

Step-by-step explanation:

Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45

Answers

Answer:

The correct answer is A or C 0.05n < 0.45

Step-by-step explanation:

Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.

Carla knows that, in order to use adjectives and adverbs more effectively, she needs to understand comparison. Which concepts below can help Carla expand her knowledge?

Each degree of comparison has its own suffix
The positive degree of comparison simply modifies the word and has no suffix
The comparative degree compares two things and uses the suffix –est
The superlative degree compares three things and uses the suffix -est

Answers

Answer:

Each degree of comparison has its own suffix..

Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.

What is comparative degrees?

The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).

The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.

One example of comparative adjective is that Josh is taller than his sister.

Thus the correct option is A.

To know more about comparative degrees, visit;

https://brainly.com/question/1301343

#SPJ3

Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2

Answers

Answer:

x = -2

y = 5

Step-by-step explanation:

7y - 5x = 45    -------------------(I)

x = 8 - 2y -----------------------(II)

Substitute x = 8 - 2y in equation (II)

7y - 5(8-2y) = 45

7y + 8 *(-5) - 2y*(-5) = 45

7y - 40 + 10y = 45

17y - 40 = 45

17y = 45 + 40

17y = 85

y = 85/17

y = 5

Plugin y = 5 in equation (II)

x = 8 - 2*5

x = 8 - 10

x = -2

Which is a function?
O {(-3,5), (1,4), (3,7), (1,7), (4,9)}
O {(7.9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1), (-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)

Answers

50000000000000000000000000000000000000000000

Answer:

{(7.9), (13,-2), (8,4), (7,0), (4,12)} is a function

Step-by-step explanation:

BRAINLIEST NEED ANSWERS ASAP PLEASE

Answers

[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]

Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?

Answers

The precent increase 1/3rd

where is the whole number in 34.50​

Answers

Answer:

34

Step-by-step explanation:

The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Answer these two questions ASAP please, help is appreciated.

Answers

Answer:

B and A

Step-by-step explanation:

Mark the person above me brainliest
(A question needs two answers so the asker can have the brainliest option)
Best of luck

Find the equation of the line which passes through (0, 7) at a gradient of 3.

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7

So, y-intercept (b) = 7

Gradient (or slope m) = 3

Equation of line in slope intercept form is given as:

y = mx + b

Plugging m = 3 and b = 7 in the above equation, we find:

y = 3x + 7

This is the required equation of line.

Parallel to y = 2x – 5
going through (-6, 1)?

Answers

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

a. Trueb. False

Answers

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

help please thanks plsss

Answers

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?​

Answers

Answer:

-12 1/2 feet (12 1/2 feet below the surface).

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Look at the photo! Please help

Answers

the answer is A

Explanation:

The function g(x) = 20,000(1.20)* represents the population of a rapidly growing
city x years after the year 2000.
What does the value g(10) - g(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C. There was an increase of 20,639 people from 2009 to 2010.
D. There was an increase of 227,031 people from 2009 to 2010.

Answers

I think it’s B hope that helped

What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?

A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)

Answers

Answer:

B: (2,-4)

Step-by-step explanation:

x-2=0

x=2

y+4=0

y=-4

Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step

Answers

Answer:

All terms separated by 6 so #20 = 4 + 6 * 19 = 118

(if the first term were 6 instead of 4 the 20th would be 120)

Also, #10 = 58 and #11 = 64   (you can use the same reasoning)

The 1st and 20th term add to 4 + 118 = 122

The 2nd and 19th add to 10 + 112 = 122

Likewise 10th and 11th add to 58 + 64 = 122

So 10 * 122 = 1220

someone please answer without links please, thankyouuu

Answers

13 because I did this one believe

Can someone please help me I will mark u brilliant

Answers

Answer:

1 cubic inch

Step-by-step explanation:

For rectangular prism:

[tex]l = 4 \times \frac{1}{2} = 2 \: in \\ \\ w= \frac{1}{2} \: in \\ \\ h = 2 \times \frac{1}{2} = 1 \: in \\ \\ volume \: of \: prism = lbh \\ = 2 \times \frac{1}{2} \times 1 \\ = 1 \: {in}^{3} [/tex]

Answer: The volume is 1 cubic inch.

Step-by-step explanation:

Volume of 1 cube

V= l*w*h

V= 1/2*1/2*1/2

V= 1/8 or 0.125

Volume of Prism

8*1/8= 1

Please answer


On the last page of her spiral
she found a note that tells
her to multiply the number
of
pages she has filled by 17.
The note also tells her to
take her answer to the
school office
to pick up a prize if the
answer is correct. What is
the correct answer?
A 2,432
B 1,240
C 2,346
D 2,436

Answers

Answer:

the correct answer is 2,432

What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)

Answers

Answer:

(4, 10) and (7, 7.5) are the solutions to this system.

Step-by-step explanation:

You can see this by observing the two given points where the line and the parabola intercept.  Those are the only two points where that will happen.

Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).​

Answers

Answer:

[tex]Degree = 3[/tex]

Step-by-step explanation:

Given

[tex]k(x) = x + 1[/tex]

[tex]m(x) = x - 4[/tex]

[tex]n(x) = x + 5[/tex]

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

Required

The degree of f(x)

First, calculate f(x)

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]

Expand

[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]

[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]

Further Expand

[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]

Collect like terms

[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]

[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]

The degree of f(x) is the highest power of x.

Hence:

[tex]Degree = 3[/tex]

A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.​

Answers

Answer:

s=9

Step-by-step explanation:

8s=72

Divide 72 and 8

s=9

Step-by-step explanation:

Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8

=9feet

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